Edit Profile (opens in new tab) Nualart, David Co-Author Distance Author ID: nualart.david Published as: Nualart, David; Nualart, D.; Nualart Rodon, David more...less Homepage: http://nualart.faculty.ku.edu/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 352 Publications since 1973, including 8 Books and 5 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 79 Reviews Biographic References: 1 Publication Co-Authors: 135 Co-Authors with 309 Joint Publications 2,759 Co-Co-Authors all top 5 Co-Authors 40 single-authored 46 Hu, Yaozhong 26 Sanz-Solé, Marta 14 Nourdin, Ivan 13 Tindel, Samy 13 Zakai, Moshe 10 Huang, Jingyu 10 León, Jorge A. 10 Zheng, Guangqu 9 Alòs, Elisa 9 Chen, Le 7 Corcuera, José Manuel 7 Harnett, Daniel 7 Millet, Annie 7 Pardoux, Etienne 7 Xu, Fangjun 6 Khoshnevisan, Davar 6 Ouknine, Youssef 6 Pu, Fei 6 Ustunel, Ali Suleyman 6 Vives, Josep 5 Jaramillo, Arturo 5 Merzbach, Ely 5 Moret, Sílvia 5 Nguyen Minh Duc 5 Peccati, Giovanni 5 Song, Jian 5 Tudor, Ciprian A. 4 Carmona, René A. 4 Ferrante, Marco 4 Gyöngy, István 4 Kohatsu-Higa, Arturo 4 Kuzgun, Sefika 4 Le, Khoa 4 Liu, Yanghui 4 Lu, Fei 4 Malliavin, Paul 4 Ortiz-Latorre, Salvador 4 Quer-Sardanyons, Lluís 4 Schoutens, Wim 4 Song, Xiaoming 4 Xia, Panqiu 3 Alabert, Aureli 3 Buckdahn, Rainer 3 Caballero, María Emilia 3 Chaleyat-Maurel, Mireille 3 Fernández, Begoña Fernández 3 Guerra, João M. E. 3 Imkeller, Peter 3 Rovira, Carles 3 Viitasaari, Lauri 3 Vuillermot, Pierre-A. 3 Woerner, Jeannette H. C. 3 Zhou, Hongjuan 2 Baudoin, Fabrice 2 Bell, Denis R. 2 Bernard, Pierre 2 Burdzy, Krzysztof 2 Decreusefond, Laurent 2 Florit, Carme 2 Gorostiza, Luis G. 2 Lei, Pedro 2 Ma, Nicholas 2 Mazet, Olivier 2 Pérez-Abreu Carrión, Víctor M. 2 Saikia, Bhargobjyoti 2 Sun, Xiaobin 2 Swanson, Jason 2 Taqqu, Murad S. 2 Thieullen, Michèle 2 Viens, Frederi G. 2 Zaïdi, N. Lanjri 1 Aguilar-Martin, Joseph 1 Assaad, Obayda 1 Balan, Raluca M. 1 Barlow, Martin T. 1 Besalú, Mireia 1 Binotto, Giulia 1 Bojdecki, Tomasz 1 Bolaños Guerrero, Raul 1 Bolaños, Raul 1 Campese, Simon 1 Chen, Xia 1 Cheridito, Patrick 1 Coutin, Laure 1 Da Prato, Giuseppe 1 Darses, Sébastien 1 Delgado-Vences, Francisco J. 1 Deya, Aurélien 1 Dozzi, Marcus 1 Duncan, Tyrone E. 1 Engelbert, Hans-Jürgen 1 Erraoui, Mohamed 1 Es-Sebaiy, Khalifa 1 Essaky, El Hassan 1 Feng, Jin 1 Frangos, Nikos E. 1 Garino, Valentin 1 Giné-Masdéu, Evarist 1 Grorud, Axel 1 Houdré, Christian ...and 35 more Co-Authors all top 5 Serials 38 Stochastic Processes and their Applications 34 The Annals of Probability 22 Probability Theory and Related Fields 17 Journal of Theoretical Probability 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Stochastics and Stochastics Reports 11 Journal of Functional Analysis 11 Electronic Journal of Probability 10 Potential Analysis 10 Electronic Communications in Probability 9 Bernoulli 8 Statistics & Probability Letters 7 Stochastic Analysis and Applications 7 Stochastics 7 Stochastic and Partial Differential Equations. Analysis and Computations 5 Stochastica 5 Stochastics and Dynamics 4 Stochastics 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Proceedings of the American Mathematical Society 3 Publicacions. Secciò de Matemàtiques 3 The Annals of Applied Probability 2 Journal of Multivariate Analysis 2 Finance and Stochastics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Statistical Inference for Stochastic Processes 2 Discrete and Continuous Dynamical Systems. Series B 2 Progress in Probability 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Probability and its Applications 1 Israel Journal of Mathematics 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Applied Mathematics and Optimization 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Collectanea Mathematica 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Theory of Probability and Mathematical Statistics 1 Bulletin des Sciences Mathématiques 1 Mathematical Finance 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Communications in Information and Systems 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 Stochastics Monographs 1 Communications on Stochastic Analysis 1 Random Matrices: Theory and Applications 1 Communications in Applied and Industrial Mathematics 1 Institute of Mathematical Statistics Textbooks 1 CBMS Regional Conference Series in Mathematics 1 Mathematical Research all top 5 Fields 353 Probability theory and stochastic processes (60-XX) 18 Partial differential equations (35-XX) 13 Statistics (62-XX) 10 Numerical analysis (65-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 302 Publications have been cited 8,168 times in 4,303 Documents Cited by ▼ Year ▼ The Malliavin calculus and related topics. 2nd ed. Zbl 1099.60003 Nualart, David 1,521 2006 The Malliavin calculus and related topics. Zbl 0837.60050 Nualart, David 526 1995 Stochastic calculus with respect to Gaussian processes. Zbl 1015.60047 Alòs, Elisa; Mazet, Olivier; Nualart, David 272 2001 Differential equations driven by fractional Brownian motion. Zbl 1018.60057 Nualart, David; Răşcanu, Aurel 243 2002 Central limit theorems for sequences of multiple stochastic integrals. Zbl 1097.60007 Nualart, David; Peccati, Giovanni 232 2005 Stochastic calculus with anticipating integrands. Zbl 0629.60061 Nualart, D.; Pardoux, E. 212 1988 Parameter estimation for fractional Ornstein-Uhlenbeck processes. Zbl 1187.62137 Hu, Yaozhong; Nualart, David 153 2010 Chaotic and predictable representations for Lévy processes. Zbl 1047.60088 Nualart, David; Schoutens, Wim 137 2000 Evolution equations driven by a fractional Brownian motion. Zbl 1027.60060 Maslowski, Bohdan; Nualart, David 137 2003 Stochastic integration with respect to the fractional Brownian motion. Zbl 1028.60048 Alòs, Elisa; Nualart, David 112 2002 Backward stochastic differential equations and Feynman-Kac formula for Lévy processes, with applications in finance. Zbl 0991.60045 Nualart, David; Schoutens, Wim 103 2001 Central limit theorems for multiple stochastic integrals and Malliavin calculus. Zbl 1142.60015 Nualart, D.; Ortiz-Latorre, S. 103 2008 Regularization of differential equations by fractional noise. Zbl 1075.60536 Nualart, David; Ouknine, Youssef 102 2002 Stochastic heat equation driven by fractional noise and local time. Zbl 1152.60331 Hu, Yaozhong; Nualart, David 95 2009 White noise driven quasilinear SPDEs with reflection. Zbl 0767.60055 Nualart, D.; Pardoux, E. 87 1992 Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency. Zbl 1322.60113 Hu, Yaozhong; Huang, Jingyu; Nualart, David; Tindel, Samy 83 2015 Stochastic differential equations driven by fractional Brownian motion and standard Brownian motion. Zbl 1151.60028 Guerra, João; Nualart, David 82 2008 Stochastic scalar conservation laws. Zbl 1154.60052 Feng, Jin; Nualart, David 81 2008 Stochastic integral of divergence type with respect to fractional Brownian motion with Hurst parameter \(H \in (0,\frac {1}{2})\). Zbl 1083.60027 Cheridito, Patrick; Nualart, David 77 2005 On the stochastic Burgers’ equation in the real line. Zbl 0939.60058 Gyöngy, István; Nualart, David 72 1999 Stochastic integration with respect to fractional Brownian motion and applications. Zbl 1063.60080 Nualart, David 71 2003 Power variation of some integral fractional processes. Zbl 1130.60058 Corcuera, José Manuel; Nualart, David; Woerner, Jeannette H. C. 69 2006 Renormalized self-intersection local time for fractional Brownian motion. Zbl 1093.60017 Hu, Yaozhong; Nualart, David 69 2005 Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion. Zbl 1169.60013 Nualart, David; Saussereau, Bruno 68 2009 Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2. Zbl 1028.60047 Alòs, Elisa; Mazet, Olivier; Nualart, David 68 2000 Central and non-central limit theorems for weighted power variations of fractional Brownian motion. Zbl 1221.60031 Nourdin, Ivan; Nualart, David; Tudor, Ciprian A. 68 2010 Introduction to Malliavin calculus. Zbl 1425.60002 Nualart, David; Nualart, Eulalia 67 2018 Generalized stochastic integrals and the Malliavin calculus. Zbl 0601.60053 Nualart, David; Zakai, Moshe 62 1986 Feynman-Kac formula for heat equation driven by fractional white noise. Zbl 1210.60056 Hu, Yaozhong; Nualart, David; Song, Jian 61 2011 Parameter estimation for fractional Ornstein-Uhlenbeck processes of general Hurst parameter. Zbl 1419.62211 Hu, Yaozhong; Nualart, David; Zhou, Hongjuan 57 2019 A decomposition of the bifractional Brownian motion and some applications. Zbl 1157.60313 Lei, Pedro; Nualart, David 55 2009 Random nonlinear wave equations: Smoothness of the solutions. Zbl 0635.60073 Carmona, Rene; Nualart, David 54 1988 Differential equations driven by Hölder continuous functions of order greater than \(1/2\). Zbl 1144.34038 Hu, Yaozhong; Nualart, David 54 2007 Rough path analysis via fractional calculus. Zbl 1175.60061 Hu, Yaozhong; Nualart, David 49 2009 Anticipative calculus for the Poisson process based on the Fock space. Zbl 0701.60048 Nualart, David; Vives, Josep 45 1990 Analysis on Wiener space and anticipating stochastic calculus. Zbl 0915.60062 Nualart, David 45 1998 Stochastic heat equation with rough dependence in space. Zbl 1393.60066 Hu, Yaozhong; Huang, Jingyu; Lê, Khoa; Nualart, David; Tindel, Samy 41 2017 Regularization of quasilinear heat equations by a fractional noise. Zbl 1080.60065 Nualart, David; Ouknine, Youssef 41 2004 Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029 Nualart, David; Quer-Sardanyons, Lluís 41 2007 Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions. Zbl 1339.60095 Hu, Yaozhong; Liu, Yanghui; Nualart, David 40 2016 A central limit theorem for the stochastic heat equation. Zbl 1458.60072 Huang, Jingyu; Nualart, David; Viitasaari, Lauri 39 2020 Tanaka formula for the fractional Brownian motion. Zbl 1053.60055 Coutin, Laure; Nualart, David; Tudor, Ciprian A. 39 2001 Compact families of Wiener functionals. Zbl 0782.60002 Da Prato, Giuseppe; Malliavin, Paul; Nualart, David 35 1992 Malliavin calculus for backward stochastic differential equations and application to numerical solutions. Zbl 1246.60081 Hu, Yaozhong; Nualart, David; Song, Xiaoming 34 2011 Malliavin calculus and its applications. Zbl 1198.60006 Nualart, David 33 2009 Additional utility of insiders with imperfect dynamical information. Zbl 1064.60087 Corcuera, José M.; Imkeller, Peter; Kohatsu-Higa, Arturo; Nualart, David 33 2004 Gaussian fluctuations for the stochastic heat equation with colored noise. Zbl 1451.60066 Huang, Jingyu; Nualart, David; Viitasaari, Lauri; Zheng, Guangqu 33 2020 Fractional Brownian motion: stochastic calculus and applications. Zbl 1102.60033 Nualart, David 32 2006 Equivalence of Volterra processes. Zbl 1075.60519 Baudoin, Fabrice; Nualart, David 32 2005 Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033 Gyöngy, István; Nualart, David 31 1997 Integration by parts and time reversal for diffusion processes. Zbl 0681.60077 Millet, A.; Nualart, D.; Sanz, M. 29 1989 Feynman-Kac formula for the heat equation driven by fractional noise with Hurst parameter \(H < 1/2\). Zbl 1253.60074 Hu, Yaozhong; Lu, Fei; Nualart, David 29 2012 Hyperbolic stochastic partial differential equations with additive fractional Brownian sheet. Zbl 1040.60045 Erraoui, Mohamed; Ouknine, Youssef; Nualart, David 28 2003 Smoothness of Brownian local times and related functionals. Zbl 0776.60092 Nualart, D.; Vives, J. 28 1992 Central limit theorems for multiple Skorokhod integrals. Zbl 1202.60038 Nourdin, Ivan; Nualart, David 28 2010 Variational solutions for partial differential equations driven by a fractional noise. Zbl 1089.35097 Nualart, David; Vuillermot, Pierre-A. 27 2006 Implicit scheme for quasi-linear parabolic partial differential equations perturbed by space-time white noise. Zbl 0832.60068 Gyöngy, István; Nualart, David 26 1995 Chaos expansions and local times. Zbl 0787.60060 Nualart, David; Vives, Josep 26 1992 Exact maximum likelihood estimators for drift fractional Brownian motion at discrete observation. Zbl 1245.62099 Hu, Yaozhong; Nualart, David; Xiao, Weilin; Zhang, Weiguo 26 2011 Absolute continuity and convergence of densities for random vectors on Wiener chaos. Zbl 1285.60053 Nourdin, Ivan; Nualart, David; Poly, Guillaume 25 2013 A central limit theorem for the stochastic wave equation with fractional noise. Zbl 1466.60127 Delgado-Vences, Francisco; Nualart, David; Zheng, Guangqu 25 2020 Regularity of the density for the stochastic heat equation. Zbl 1191.60077 Mueller, Carl E.; Nualart, David 25 2008 Boundary value problems for stochastic differential equations. Zbl 0736.60052 Nualart, D.; Pardoux, E. 25 1991 Parabolic Anderson model with rough dependence in space. Zbl 1408.60050 Hu, Yaozhong; Huang, Jingyu; Lê, Khoa; Nualart, David; Tindel, Samy 25 2018 Generalized multiple stochastic integrals and the representation of Wiener functionals. Zbl 0641.60062 Nualart, David; Zakai, Moshe 23 1988 Stochastic evolution equations with random generators. Zbl 0939.60066 León, Jorge A.; Nualart, David 23 1998 Weighted stochastic Sobolev spaces and bilinear SPDEs driven by space-time white noise. Zbl 0894.60054 Nualart, David; Rozovskii, Boris 23 1997 Intersection local time for two independent fractional Brownian motions. Zbl 1154.60028 Nualart, David; Ortiz-Latorre, Salvador 23 2007 An anticipating calculus approach to the utility maximization of an insider. Zbl 1060.91054 León, Jorge A.; Navarro, Reyla; Nualart, David 23 2003 Quasi sure analysis of stochastic flows and Banach space valued smooth functionals on the Wiener space. Zbl 0783.60006 Malliavin, Paul; Nualart, David 22 1993 Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise. Zbl 1387.60064 Huang, Jingyu; Lê, Khoa; Nualart, David 22 2017 A singular stochastic differential equation driven by fractional Brownian motion. Zbl 1283.60089 Hu, Yaozhong; Nualart, David; Song, Xiaoming 21 2008 Stochastic Stratonovich calculus fBm for fractional Brownian motion with Hurst parameter less than \(1/2\). Zbl 0989.60054 Alòs, E.; León, J. A.; Nualart, D. 21 2001 Random nonlinear wave equations: Propagation of singularities. Zbl 0643.60045 Carmona, René; Nualart, David 20 1988 Spatial ergodicity for SPDEs via Poincaré-type inequalities. Zbl 1483.60091 Chen, Le; Khoshnevisan, Davar; Nualart, David; Pu, Fei 20 2021 Generalized Brownian functionals and the solution to a stochastic partial differential equation. Zbl 0682.60046 Nualart, David; Zakai, Moshe 19 1989 Nonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\). Zbl 1427.60119 Chen, Le; Hu, Yaozhong; Nualart, David 19 2019 Hitting times for Gaussian processes. Zbl 1135.60019 Decreusefond, Laurent; Nualart, David 19 2008 Large time asymptotics for the parabolic Anderson model driven by spatially correlated noise. Zbl 1372.60092 Huang, Jingyu; Lê, Khoa; Nualart, David 18 2017 Continuous Breuer-Major theorem: tightness and nonstationarity. Zbl 1468.60043 Campese, Simon; Nourdin, Ivan; Nualart, David 18 2020 Markov field properties of solutions of white noise driven quasi-linear parabolic PDEs. Zbl 0828.60043 Nualart, D.; Pardoux, E. 18 1994 Drift parameter estimation for nonlinear stochastic differential equations driven by fractional Brownian motion. Zbl 1498.62164 Hu, Yaozhong; Nualart, David; Zhou, Hongjuan 18 2019 Asymptotics of weighted random sums. Zbl 1329.60073 Corcuera, José Manuel; Nualart, David; Podolskij, Mark 17 2014 Quantitative stable limit theorems on the Wiener space. Zbl 1356.60035 Nourdin, Ivan; Nualart, David; Peccati, Giovanni 17 2016 A duality formula on the Poisson space and some applications. Zbl 0856.60057 Nualart, David; Vives, Josep 17 1995 Completion of a Lévy market by power-jump assets. Zbl 1063.91021 Corcuera, José Manuel; Nualart, David; Schoutens, Wim 17 2005 Large deviations for stochastic Volterra equations. Zbl 0959.60050 Nualart, David; Rovira, Carles 17 2000 On the quadratic variation of two-parameter continuous martingales. Zbl 0538.60049 Nualart, D. 17 1984 Averaging Gaussian functionals. Zbl 1441.60049 Nualart, David; Zheng, Guangqu 17 2020 Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise. Zbl 1391.60153 Chen, Le; Hu, Yaozhong; Kalbasi, Kamran; Nualart, David 17 2018 Une formule d’Itô pour les martingales continues à deux indices et quelques applications. Zbl 0543.60062 Nualart, David 17 1984 Malliavin calculus and related topics. Zbl 0742.60055 Nualart, David 17 1991 Large deviations for a class of anticipating stochastic differential equations. Zbl 0769.60053 Millet, A.; Nualart, D.; Sanz, M. 17 1992 Fractional martingales and characterization of the fractional Brownian motion. Zbl 1196.60075 Hu, Yaozhong; Nualart, David; Song, Jian 17 2009 A construction of the rough path above fractional Brownian motion using Volterra’s representation. Zbl 1219.60041 Nualart, David; Tindel, Samy 17 2011 Gaussian density estimates for solutions to quasi-linear stochastic partial differential equations. Zbl 1190.60041 Nualart, David; Quer-Sardanyons, Lluís 16 2009 The 1/\(H\)-variation of the divergence integral with respect to the fractional Brownian motion for \(H>1/2\) and fractional Bessel processes. Zbl 1075.60056 Guerra, João M. E.; Nualart, David 16 2005 Malliavin calculus for two-parameter Wiener functionals. Zbl 0595.60065 Nualart, D.; Sanz, M. 16 1985 Stochastic differential equations with additive fractional noise and locally unbounded drift. Zbl 1039.60061 Nualart, David; Ouknine, Youssef 16 2003 Convergence of densities of some functionals of Gaussian processes. Zbl 1290.60045 Hu, Yaozhong; Lu, Fei; Nualart, David 15 2014 Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein’s method. Zbl 1535.60112 Chen, Le; Khoshnevisan, Davar; Nualart, David; Pu, Fei 7 2023 Limit theorems for additive functionals of the fractional Brownian motion. Zbl 07690056 Jaramillo, Arturo; Nourdin, Ivan; Nualart, David; Peccati, Giovanni 2 2023 Error distribution of the Euler approximation scheme for stochastic Volterra equations. Zbl 07722790 Nualart, David; Saikia, Bhargobjyoti 2 2023 Central limit theorems for stochastic wave equations in dimensions one and two. Zbl 1493.60100 Nualart, David; Zheng, Guangqu 12 2022 Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial condition. Zbl 1485.60058 Chen, Le; Khoshnevisan, Davar; Nualart, David; Pu, Fei 11 2022 Central limit theorems for parabolic stochastic partial differential equations. Zbl 1492.60076 Chen, Le; Khoshnevisan, Davar; Nualart, David; Pu, Fei 11 2022 Quantitative normal approximations for the stochastic fractional heat equation. Zbl 1497.60083 Assaad, Obayda; Nualart, David; Tudor, Ciprian A.; Viitasaari, Lauri 10 2022 Quantitative central limit theorems for the parabolic Anderson model driven by colored noises. Zbl 1498.60094 Nualart, David; Xia, Panqiu; Zheng, Guangqu 3 2022 The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications. Zbl 1501.60031 Balan, Raluca M.; Nualart, David; Quer-Sardanyons, Lluís; Zheng, Guangqu 3 2022 Convergence of densities of spatial averages of stochastic heat equation. Zbl 1493.60097 Kuzgun, Sefika; Nualart, David 2 2022 Regularization of differential equations by two fractional noises. Zbl 1505.60064 Nualart, David; Sönmez, Ercan 1 2022 Spatial ergodicity for SPDEs via Poincaré-type inequalities. Zbl 1483.60091 Chen, Le; Khoshnevisan, Davar; Nualart, David; Pu, Fei 20 2021 Regularity and strict positivity of densities for the nonlinear stochastic heat equation. Zbl 1494.60001 Chen, Le; Hu, Yaozhong; Nualart, David 15 2021 Averaging 2D stochastic wave equation. Zbl 1477.60095 Bolaños Guerrero, Raul; Nualart, David; Zheng, Guangqu 13 2021 Spatial stationarity, ergodicity, and CLT for parabolic Anderson model with delta initial condition in dimension \(d \geq 1\). Zbl 1461.60048 Khoshnevisan, Davar; Nualart, David; Pu, Fei 11 2021 Crank-Nicolson scheme for stochastic differential equations driven by fractional Brownian motions. Zbl 1476.60075 Hu, Yaozhong; Liu, Yanghui; Nualart, David 10 2021 Spatial averages for the parabolic Anderson model driven by rough noise. Zbl 1464.60019 Nualart, David; Song, Xiaoming; Zheng, Guangqu 7 2021 Total variation estimates in the Breuer-Major theorem. Zbl 1472.60049 Nualart, David; Zhou, Hongjuan 7 2021 Limit theorems for integral functionals of Hermite-driven processes. Zbl 1491.60048 Garino, Valentin; Nourdin, Ivan; Nualart, David; Salamat, Majid 2 2021 Large time asymptotic properties of the stochastic heat equation. Zbl 1472.60103 Kohatsu-Higa, Arturo; Nualart, David 1 2021 A central limit theorem for the stochastic heat equation. Zbl 1458.60072 Huang, Jingyu; Nualart, David; Viitasaari, Lauri 39 2020 Gaussian fluctuations for the stochastic heat equation with colored noise. Zbl 1451.60066 Huang, Jingyu; Nualart, David; Viitasaari, Lauri; Zheng, Guangqu 33 2020 A central limit theorem for the stochastic wave equation with fractional noise. Zbl 1466.60127 Delgado-Vences, Francisco; Nualart, David; Zheng, Guangqu 25 2020 Continuous Breuer-Major theorem: tightness and nonstationarity. Zbl 1468.60043 Campese, Simon; Nourdin, Ivan; Nualart, David 18 2020 Averaging Gaussian functionals. Zbl 1441.60049 Nualart, David; Zheng, Guangqu 17 2020 The functional Breuer-Major theorem. Zbl 1434.60108 Nourdin, Ivan; Nualart, David 14 2020 Spatial ergodicity of stochastic wave equations in dimensions 1, 2 and 3. Zbl 1484.60069 Nualart, David; Zheng, Guangqu 7 2020 An implicit numerical scheme for a class of backward doubly stochastic differential equations. Zbl 1467.60040 Hu, Yaozhong; Nualart, David; Song, Xiaoming 4 2020 Collision of eigenvalues for matrix-valued processes. Zbl 1456.60021 Jaramillo, Arturo; Nualart, David 4 2020 Oscillatory Breuer-Major theorem with application to the random corrector problem. Zbl 1472.60065 Nualart, David; Zheng, Guangqu 4 2020 On nonlinear rough paths. Zbl 1443.60083 Nualart, David; Xia, Panqiu 3 2020 Rate of convergence for the weighted Hermite variations of the fractional Brownian motion. Zbl 1487.60086 Ma, Nicholas; Nualart, David 3 2020 Limit theorems for singular Skorohod integrals. Zbl 1485.60053 Bell, Denis; Bolaños, Raul; Nualart, David 2 2020 Parameter estimation for fractional Ornstein-Uhlenbeck processes of general Hurst parameter. Zbl 1419.62211 Hu, Yaozhong; Nualart, David; Zhou, Hongjuan 57 2019 Nonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\). Zbl 1427.60119 Chen, Le; Hu, Yaozhong; Nualart, David 19 2019 Drift parameter estimation for nonlinear stochastic differential equations driven by fractional Brownian motion. Zbl 1498.62164 Hu, Yaozhong; Nualart, David; Zhou, Hongjuan 18 2019 Functional limit theorem for the self-intersection local time of the fractional Brownian motion. Zbl 1477.60064 Jaramillo, Arturo; Nualart, David 12 2019 Asymptotic expansion of Skorohod integrals. Zbl 1448.60119 Nualart, David; Yoshida, Nakahiro 10 2019 Asymptotic behavior for an additive functional of two independent self-similar Gaussian processes. Zbl 1422.60035 Nualart, David; Xu, Fangjun 3 2019 Smoothness of density for stochastic differential equations with Markovian switching. Zbl 1420.60070 Hu, Yaozhong; Nualart, David; Sun, Xiaobin; Xie, Yingchao 3 2019 Malliavin calculus and normal approximations. Zbl 1464.60055 Nualart, David 2 2019 Hölder continuity of the solutions to a class of SPDE’s arising from branching particle systems in a random environment. Zbl 1427.60126 Hu, Yaozhong; Nualart, David; Xia, Panqiu 2 2019 Rate of convergence in the Breuer-Major theorem via chaos expansions. Zbl 1423.60103 Kuzgun, Sefika; Nualart, David 2 2019 Symmetric stochastic integrals with respect to a class of self-similar Gaussian processes. Zbl 1487.60103 Harnett, Daniel; Jaramillo, Arturo; Nualart, David 1 2019 Introduction to Malliavin calculus. Zbl 1425.60002 Nualart, David; Nualart, Eulalia 67 2018 Parabolic Anderson model with rough dependence in space. Zbl 1408.60050 Hu, Yaozhong; Huang, Jingyu; Lê, Khoa; Nualart, David; Tindel, Samy 25 2018 Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise. Zbl 1391.60153 Chen, Le; Hu, Yaozhong; Kalbasi, Kamran; Nualart, David 17 2018 Stochastic Burgers’ equation on the real line: regularity and moment estimates. Zbl 1498.60264 Lewis, Peter; Nualart, David 10 2018 Weak symmetric integrals with respect to the fractional Brownian motion. Zbl 1430.60036 Binotto, Giulia; Nourdin, Ivan; Nualart, David 8 2018 Large deviations for stochastic heat equation with rough dependence in space. Zbl 1379.60069 Hu, Yaozhong; Nualart, David; Zhang, Tusheng 7 2018 Central limit theorem for functionals of a generalized self-similar Gaussian process. Zbl 1380.60034 Harnett, Daniel; Nualart, David 7 2018 Stochastic heat equation with rough dependence in space. Zbl 1393.60066 Hu, Yaozhong; Huang, Jingyu; Lê, Khoa; Nualart, David; Tindel, Samy 41 2017 Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise. Zbl 1387.60064 Huang, Jingyu; Lê, Khoa; Nualart, David 22 2017 Large time asymptotics for the parabolic Anderson model driven by spatially correlated noise. Zbl 1372.60092 Huang, Jingyu; Lê, Khoa; Nualart, David 18 2017 Spatial asymptotics for the parabolic Anderson model driven by a Gaussian rough noise. Zbl 1386.60135 Chen, Xia; Hu, Yaozhong; Nualart, David; Tindel, Samy 13 2017 Asymptotic properties of the derivative of self-intersection local time of fractional Brownian motion. Zbl 1354.60042 Jaramillo, Arturo; Nualart, David 10 2017 Young differential equations with power type nonlinearities. Zbl 1395.60062 León, Jorge A.; Nualart, David; Tindel, Samy 7 2017 Two-point correlation function and Feynman-Kac formula for the stochastic heat equation. Zbl 1367.60079 Chen, Le; Hu, Yaozhong; Nualart, David 6 2017 Noncentral limit theorem for the generalized Hermite process. Zbl 1386.60190 Bell, Denis; Nualart, David 6 2017 Decomposition and limit theorems for a class of self-similar Gaussian processes. Zbl 1409.60039 Harnett, Daniel; Nualart, David 6 2017 The determinant of the iterated Malliavin matrix and the density of a pair of multiple integrals. Zbl 1364.60071 Nualart, David; Tudor, Ciprian A. 4 2017 Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions. Zbl 1339.60095 Hu, Yaozhong; Liu, Yanghui; Nualart, David 40 2016 Quantitative stable limit theorems on the Wiener space. Zbl 1356.60035 Nourdin, Ivan; Nualart, David; Peccati, Giovanni 17 2016 Strong asymptotic independence on Wiener chaos. Zbl 1339.60017 Nourdin, Ivan; Nualart, David; Peccati, Giovanni 9 2016 Fisher information and the fourth moment theorem. Zbl 1342.60083 Nourdin, Ivan; Nualart, David 7 2016 Multivariate central limit theorems for averages of fractional Volterra processes and applications to parameter estimation. Zbl 1356.60036 Nourdin, Ivan; Nualart, David; Zintout, Rola 7 2016 Taylor schemes for rough differential equations and fractional diffusions. Zbl 1353.60064 Nualart, David; Liu, Yanghui; Hu, Yaozhong 5 2016 On the intermittency front of stochastic heat equation driven by colored noises. Zbl 1338.60158 Hu, Yaozhong; Huang, Jingyu; Nualart, David 2 2016 Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency. Zbl 1322.60113 Hu, Yaozhong; Huang, Jingyu; Nualart, David; Tindel, Samy 83 2015 Density convergence in the Breuer-Major theorem for Gaussian stationary sequences. Zbl 1344.60025 Hu, Yaozhong; Nualart, David; Tindel, Samy; Xu, Fangjun 6 2015 Smoothness of the joint density for spatially homogeneous SPDEs. Zbl 1334.60111 Hu, Yaozhong; Huang, Jingyu; Nualart, David; Sun, Xiaobin 4 2015 On the \(\frac{1}{H}\)-variation of the divergence integral with respect to fractional Brownian motion with Hurst parameter \(H < \frac{1}{2}\). Zbl 1322.60078 Essaky, El Hassan; Nualart, David 4 2015 On Simpson’s rule and fractional Brownian motion with \(H = 1/10\). Zbl 1334.60098 Harnett, Daniel; Nualart, David 4 2015 On \(L^{2}\) modulus of continuity of Brownian local times and Riesz potentials. Zbl 1326.60112 Deya, Aurélien; Nualart, David; Tindel, Samy 1 2015 Asymptotics of weighted random sums. Zbl 1329.60073 Corcuera, José Manuel; Nualart, David; Podolskij, Mark 17 2014 Convergence of densities of some functionals of Gaussian processes. Zbl 1290.60045 Hu, Yaozhong; Lu, Fei; Nualart, David 15 2014 Central limit theorem for an additive functional of the fractional Brownian motion. Zbl 1294.60042 Hu, Yaozhong; Nualart, David; Xu, Fangjun 13 2014 On Hölder continuity of the solution of stochastic wave equations in dimension three. Zbl 1310.60096 Hu, Yaozhong; Huang, Jingyu; Nualart, David 13 2014 On the eigenvalue process of a matrix fractional Brownian motion. Zbl 1301.60051 Nualart, David; Pérez-Abreu, Victor 10 2014 Central limit theorem for functionals of two independent fractional Brownian motions. Zbl 1296.60059 Nualart, David; Xu, Fangjun 4 2014 The \(\frac{4}{3}\)-variation of the derivative of the self-intersection Brownian local time and related processes. Zbl 1306.60113 Hu, Yaozhong; Nualart, David; Song, Jian 1 2014 Central limit theorem for an iterated integral with respect to fBm with \(H>1/2\). Zbl 1310.60065 Harnett, Daniel; Nualart, David 1 2014 A second order limit law for occupation times of the Cauchy process. Zbl 1337.60095 Nualart, David; Xu, Fangjun 1 2014 Absolute continuity and convergence of densities for random vectors on Wiener chaos. Zbl 1285.60053 Nourdin, Ivan; Nualart, David; Poly, Guillaume 25 2013 A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution. Zbl 1272.60043 Hu, Yaozhong; Nualart, David; Song, Jian 13 2013 Central limit theorem for an additive functional of the fractional Brownian motion. II. Zbl 1329.60041 Nualart, David; Xu, Fangjun 12 2013 Central limit theorem for a Stratonovich integral with Malliavin calculus. Zbl 1285.60050 Harnett, Daniel; Nualart, David 10 2013 Hölder continuity of the solutions for a class of nonlinear SPDE’s arising from one dimensional superprocesses. Zbl 1391.60159 Hu, Yaozhong; Lu, Fei; Nualart, David 5 2013 Stochastic calculus with respect to the fractional Brownian motion. Zbl 1364.60046 Nualart, David 1 2013 Feynman-Kac formula for the heat equation driven by fractional noise with Hurst parameter \(H < 1/2\). Zbl 1253.60074 Hu, Yaozhong; Lu, Fei; Nualart, David 29 2012 Weak convergence of the Stratonovich integral with respect to a class of Gaussian processes. Zbl 1277.60098 Harnett, Daniel; Nualart, David 13 2012 Stochastic calculus for Gaussian processes and application to hitting times. Zbl 1331.60103 Lei, Pedro; Nualart, David 9 2012 Malliavin calculus at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 976 (1983), 1427 (1990) and 1690 (1998). Zbl 1261.60004 Ikeda, Nobuyuki; Nualart, David; Stroock, Daniel W. 1 2012 Feynman-Kac formula for heat equation driven by fractional white noise. Zbl 1210.60056 Hu, Yaozhong; Nualart, David; Song, Jian 61 2011 Malliavin calculus for backward stochastic differential equations and application to numerical solutions. Zbl 1246.60081 Hu, Yaozhong; Nualart, David; Song, Xiaoming 34 2011 Exact maximum likelihood estimators for drift fractional Brownian motion at discrete observation. Zbl 1245.62099 Hu, Yaozhong; Nualart, David; Xiao, Weilin; Zhang, Weiguo 26 2011 A construction of the rough path above fractional Brownian motion using Volterra’s representation. Zbl 1219.60041 Nualart, David; Tindel, Samy 17 2011 Estimates for the solution to stochastic differential equations driven by a fractional Brownian motion with Hurst parameter \(H \in (\frac13, \frac12)\). Zbl 1231.60049 Besalú, Mireia; Nualart, David 12 2011 Optimal Gaussian density estimates for a class of stochastic equations with additive noise. Zbl 1235.60060 Nualart, David; Quer-Sardanyons, Lluís 10 2011 Multidimensional Wick-Itô formula for Gaussian processes. Zbl 1229.60043 Nualart, D.; Ortiz-Latorre, S. 2 2011 ...and 202 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,395 Authors 177 Nualart, David 106 Tudor, Ciprian A. 73 Hu, Yaozhong 68 Yan, Litan 64 Nourdin, Ivan 58 Tindel, Samy 51 Peccati, Giovanni 47 Mishura, Yuliya Stepanivna 36 Kohatsu-Higa, Arturo 35 Shen, Guangjun 32 Khoshnevisan, Davar 32 Sanz-Solé, Marta 31 Es-Sebaiy, Khalifa 31 Liu, Junfeng 30 Yamada, Toshihiro 29 Hairer, Martin 29 León, Jorge A. 29 Proske, Frank Norbert 29 Song, Jian 29 Zhang, Tusheng S. 28 Viitasaari, Lauri 27 Øksendal, Bernt Karsten 26 Imkeller, Peter 26 Privault, Nicolas 26 Russo, Francesco 26 Viens, Frederi G. 25 Balan, Raluca M. 24 Xu, Yong 24 Zhang, Xicheng 23 Nguyen Tien Dung 22 Gubinelli, Massimiliano 22 Nualart, Eulalia 21 Friz, Peter 21 Gobet, Emmanuel 21 Kim, Yoontae 21 Ren, Yong 20 Alòs, Elisa 20 Azmoodeh, Ehsan 20 Bally, Vlad 20 Deya, Aurélien 20 Pei, Bin 20 Wu, Jianglun 19 Dalang, Robert C. 19 Garrido-Atienza, María José 19 Li, Zhi 19 Maslowski, Bohdan 19 Quer-Sardanyons, Lluís 19 Ralchenko, Kostiantyn V. 18 Bourguin, Solesne 18 Da Prato, Giuseppe 18 Di Nunno, Giulia 18 Gu, Yu 18 Jolis, Maria 18 Park, Hyun Suk 18 Rovira, Carles 17 Debussche, Arnaud 17 Fan, Xiliang 17 Menoukeu Pamen, Olivier 17 Podolskij, Mark 17 Schmalfuß, Björn 17 Shevchenko, Georgiy M. 17 Torres, Soledad 17 Xiao, Yimin 16 Baudoin, Fabrice 16 Boufoussi, Brahim 16 Corcuera, José Manuel 16 Inahama, Yuzuru 16 Lanconelli, Alberto 16 Merzbach, Ely 16 Ouknine, Youssef 16 Röckner, Michael 16 Yu, Qian 16 Zheng, Guangqu 15 Caraballo Garrido, Tomás 15 Chen, Le 15 Flandoli, Franco 15 Ouyang, Cheng 15 Poly, Guillaume 15 Shi, Yufeng 15 Sottinen, Tommi 15 Taqqu, Murad S. 15 Yoshida, Nakahiro 15 Zakai, Moshe 14 Chen, Xia 14 Coutin, Laure 14 Jiang, Hui 14 Jiang, Yiming 14 Leonenko, Nikolai N. 14 Réveillac, Anthony 14 Sun, Xichao 14 Xu, Liping 14 Yin, Xiuwei 14 Yu, Xianye 13 Albeverio, Sergio A. 13 Bogachev, Vladimir Igorevich 13 Foondun, Mohammud 13 Gao, Hongjun 13 Marie, Nicolas 13 Márquez-Carreras, David 13 Neuenkirch, Andreas ...and 3,295 more Authors all top 5 Cited in 443 Serials 387 Stochastic Processes and their Applications 151 The Annals of Probability 144 Journal of Functional Analysis 144 Stochastic Analysis and Applications 140 Statistics & Probability Letters 125 Journal of Theoretical Probability 117 Probability Theory and Related Fields 115 Stochastics 95 Stochastics and Dynamics 87 Electronic Journal of Probability 87 Bernoulli 76 Journal of Mathematical Analysis and Applications 72 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 72 Stochastic and Partial Differential Equations. Analysis and Computations 67 The Annals of Applied Probability 57 Infinite Dimensional Analysis, Quantum Probability and Related Topics 54 Potential Analysis 53 Journal of Differential Equations 42 Communications in Statistics. Theory and Methods 36 Random Operators and Stochastic Equations 35 Statistical Inference for Stochastic Processes 34 Applied Mathematics and Optimization 32 Communications in Mathematical Physics 32 Discrete and Continuous Dynamical Systems. Series B 31 Journal of Computational and Applied Mathematics 30 Theory of Probability and Mathematical Statistics 29 Journal of Mathematical Physics 28 Transactions of the American Mathematical Society 28 Bulletin des Sciences Mathématiques 28 Quantitative Finance 28 ALEA. Latin American Journal of Probability and Mathematical Statistics 27 International Journal of Theoretical and Applied Finance 27 Modern Stochastics. 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Mathematics 15 Chaos, Solitons and Fractals 15 Proceedings of the American Mathematical Society 15 Insurance Mathematics & Economics 15 Acta Applicandae Mathematicae 15 Journal of Dynamics and Differential Equations 14 Mathematical Methods in the Applied Sciences 14 Journal of Applied Probability 14 Journal of Multivariate Analysis 14 SIAM Journal on Control and Optimization 14 Discrete and Continuous Dynamical Systems 14 Communications in Nonlinear Science and Numerical Simulation 13 Advances in Applied Probability 13 Acta Mathematicae Applicatae Sinica. English Series 13 Journal of Evolution Equations 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Computers & Mathematics with Applications 11 Communications on Pure and Applied Mathematics 11 International Journal of Control 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 SIAM Journal on Mathematical Analysis 11 NoDEA. Nonlinear Differential Equations and Applications 11 Applied Mathematical Finance 11 Mathematical Problems in Engineering 11 Brazilian Journal of Probability and Statistics 11 Differential Equations 11 International Journal of Stochastic Analysis 10 Physica A 10 The Annals of Statistics 10 Systems & Control Letters 10 Applied Numerical Mathematics 10 Statistics 10 Stochastics and Stochastics Reports 10 Monte Carlo Methods and Applications 9 Mathematics of Computation 9 Journal of Econometrics 9 Probability and Mathematical Statistics 9 Journal of Economic Dynamics & Control 9 Journal of Inequalities and Applications 9 Mediterranean Journal of Mathematics 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Applicable Analysis 8 Theory of Probability and its Applications 8 Journal of Optimization Theory and Applications 8 Journal of Statistical Planning and Inference 8 Mathematics and Computers in Simulation 8 Chinese Annals of Mathematics. Series B 8 Applied Mathematics Letters 8 Annales Mathématiques Blaise Pascal 8 Chaos ...and 343 more Serials all top 5 Cited in 55 Fields 3,959 Probability theory and stochastic processes (60-XX) 750 Partial differential equations (35-XX) 472 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 421 Statistics (62-XX) 389 Numerical analysis (65-XX) 219 Systems theory; control (93-XX) 205 Ordinary differential equations (34-XX) 169 Dynamical systems and ergodic theory (37-XX) 127 Statistical mechanics, structure of matter (82-XX) 123 Functional analysis (46-XX) 121 Operator theory (47-XX) 105 Calculus of variations and optimal control; optimization (49-XX) 103 Real functions (26-XX) 73 Global analysis, analysis on manifolds (58-XX) 71 Fluid mechanics (76-XX) 67 Measure and integration (28-XX) 58 Quantum theory (81-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 47 Integral equations (45-XX) 40 Potential theory (31-XX) 33 Biology and other natural sciences (92-XX) 27 Special functions (33-XX) 24 Approximations and expansions (41-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 22 Operations research, mathematical programming (90-XX) 20 Information and communication theory, circuits (94-XX) 16 Computer science (68-XX) 15 Differential geometry (53-XX) 14 Combinatorics (05-XX) 9 Functions of a complex variable (30-XX) 9 Difference and functional equations (39-XX) 7 Mechanics of particles and systems (70-XX) 6 Topological groups, Lie groups (22-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of deformable solids (74-XX) 4 Associative rings and algebras (16-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Sequences, series, summability (40-XX) 3 Optics, electromagnetic theory (78-XX) 3 Mathematics education (97-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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