## Stochastics and Dynamics

 Short Title: Stoch. Dyn. Publisher: World Scientific, Singapore ISSN: 0219-4937; 1793-6799/e Online: https://www.worldscientific.com/loi/sd Comments: Indexed cover-to-cover
 Documents Indexed: 801 Publications (since 2001) References Indexed: 788 Publications with 17,335 References.
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### Authors

 13 Duan, Jinqiao 13 Kloeden, Peter Eris 10 Lopes, Artur Oscar 10 Ouknine, Youssef 9 Caraballo Garrido, Tomás 9 Imkeller, Peter 9 Schmalfuß, Björn 8 Freidlin, Mark I. 7 Denker, Manfred 7 Ruffino, Paulo Régis C. 6 Gao, Hongjun 6 Kesseböhmer, Marc 6 Kifer, Yuri 6 Nguyen Dinh Cong 5 Blömker, Dirk 5 Dedecker, Jérôme 5 Flandoli, Franco 5 Garrido-Atienza, María José 5 Khas’minskiĭ, Rafail Zalmanovich 5 Maslowski, Bohdan 5 Milstein, Grigori N. 5 Russo, Francesco 5 Scheutzow, Michael K. R. 5 Siegmund, Stefan 5 Tudor, Ciprian A. 5 Volný, Dalibor 5 Wang, Yejuan 5 Yan, Litan 4 Bahlali, Khaled 4 Bo, Lijun 4 Crauel, Hans 4 Da Silva, Fabiano Borges 4 Duc, Luu Hoang 4 Gu, Anhui 4 Hu, Shigeng 4 Huang, Jianhua 4 Melbourne, Ian 4 Merlevède, Florence 4 Molchanov, Stanislav Alekseevich 4 Namachchivaya, N. Sri 4 Neamţu, Alexandra 4 Nicol, Matthew 4 Nualart, David 4 Pavlyukevich, Ilya 4 Real Anguas, José 4 Sowers, Richard B. 4 Spiliopoulos, Konstantinos V. 4 Stadlbauer, Manuel 4 Tachim Medjo, Theodore 4 Wang, Bixiang 4 Wang, Yongjin 4 Wu, Fuke 4 Zhang, Xicheng 4 Zheng, Yan 4 Zhou, Shengfan 3 Aaronson, Jon 3 Allouba, Hassan 3 Bakhtin, Yuri Yu. 3 Bal, Guillaume 3 Barreira, Luis Manuel 3 Bessa, Mário 3 Bessaih, Hakima 3 Bonaccorsi, Stefano 3 Bouhadou, Siham 3 Bruin, Henk 3 Buckwar, Evelyn 3 Caithamer, Peter 3 Catuogno, Pedro José 3 Chen, Ercai 3 Cialenco, Igor 3 Deugoue, Gabriel 3 Duncan, Tyrone E. 3 Góra, Paweł 3 Guo, Chunxiao 3 Guo, Yanfeng 3 Hamadene, Saïd 3 Han, Xiaoying 3 Haydn, Nicolai T. A. 3 Herrmann, Samuel 3 Högele, Michael Anton 3 Huang, Xing 3 Jiang, Yiming 3 Johnson, Russell Allan 3 Keller, Gerhard 3 Kondrat’yev, Yuriĭ Grygorovych 3 Kotelenez, Peter M. 3 Lanconelli, Alberto 3 Langa, Jose’ Antonio 3 Ledesma, Diego Sebastian 3 Li, Yangrong 3 Lisei, Hannelore 3 Liu, Jicheng 3 Liu, Junfeng 3 Lu, Kening 3 Ma, Xianfeng 3 Matoussi, Anis 3 Michta, Mariusz 3 Qiao, Huijie 3 Robinson, James Cooper 3 Stuart, Andrew M. ...and 1,039 more Authors
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### Fields

 583 Probability theory and stochastic processes (60-XX) 297 Dynamical systems and ergodic theory (37-XX) 145 Partial differential equations (35-XX) 107 Ordinary differential equations (34-XX) 52 Systems theory; control (93-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Statistics (62-XX) 31 Measure and integration (28-XX) 30 Statistical mechanics, structure of matter (82-XX) 29 Numerical analysis (65-XX) 29 Biology and other natural sciences (92-XX) 24 Operator theory (47-XX) 24 Fluid mechanics (76-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Geophysics (86-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Number theory (11-XX) 13 Mechanics of particles and systems (70-XX) 10 General and overarching topics; collections (00-XX) 9 Difference and functional equations (39-XX) 9 Differential geometry (53-XX) 9 Quantum theory (81-XX) 7 Topological groups, Lie groups (22-XX) 7 Integral equations (45-XX) 7 Operations research, mathematical programming (90-XX) 6 Combinatorics (05-XX) 6 Real functions (26-XX) 6 Potential theory (31-XX) 6 Manifolds and cell complexes (57-XX) 6 Mechanics of deformable solids (74-XX) 5 History and biography (01-XX) 5 General topology (54-XX) 5 Information and communication theory, circuits (94-XX) 4 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

578 Publications have been cited 3,779 times in 3,113 Documents Cited by Year
Attractors for stochastic lattice dynamical systems. Zbl 1105.60041
Bates, Peter W.; Lisei, Hannelore; Lu, Kening
2006
Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002
Aaronson, Jon; Denker, Manfred
2001
Fractional Brownian motion and stochastic equations in Hilbert spaces. Zbl 1040.60054
Duncan, T. E.; Pasik-Duncan, B.; Maslowski, B.
2002
Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms. Zbl 1304.35789
Wang, Bixiang
2014
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
2008
Boundary problems for fractional Laplacians. Zbl 1077.60036
Guan, Qing-Yang; Ma, Zhi-Ming
2005
Pullback and forward attractors for a damped wave equation with delays. Zbl 1061.35153
Caraballo, T.; Kloeden, P. E.; Real, J.
2004
Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion. Zbl 1365.34102
Xu, Yong; Pei, Bin; Wu, Jiang-Lun
2017
Pullback attractors of nonautonomous semidynamical systems. Zbl 1029.37010
Kloeden, P. E.
2003
Delay population dynamics and environmental noise. Zbl 1093.60033
Mao, Xuerong
2005
Random differential equations with random delays. Zbl 1270.34182
Garrido-Atienza, M. J.; Ogrowsky, A.; Schmalfuss, B.
2011
Regularization of quasilinear heat equations by a fractional noise. Zbl 1080.60065
Nualart, David; Ouknine, Youssef
2004
The existence and uniqueness for non-Lipschitz stochastic neutral delay evolution equations driven by Poisson jumps. Zbl 1167.60336
Luo, Jiaowan; Taniguchi, Takeshi
2009
Entropic risk measures: coherence vs. convexity, model ambiguity and robust large deviations. Zbl 1237.91128
Föllmer, Hans; Knispel, Thomas
2011
Random attractors of stochastic reaction-diffusion equations on variable domains. Zbl 1235.60076
Crauel, H.; Kloeden, P. E.; Yang, Meihua
2011
Successive approximations of infinite dimensional SDEs with jump. Zbl 1082.60048
Cao, Guilan; He, Kai; Zhang, Xicheng
2005
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
2002
On the density of Hausdorff dimensions of bounded type continued fraction sets: the Texan conjecture. Zbl 1089.28006
Jenkinson, Oliver
2004
Stability of stochastic delayed SIR model. Zbl 1176.93079
Chen, Guoting; Li, Tiecheng
2009
Thermodynamic formalism for random transformations revisited. Zbl 1170.37019
Kifer, Yuri
2008
Stochastic integration for fractional Brownian motion in a Hilbert space. Zbl 1095.60017
Duncan, T. E.; Jakubowski, J.; Pasik-Duncan, B.
2006
Hyperbolic stochastic partial differential equations with additive fractional Brownian sheet. Zbl 1040.60045
Erraoui, Mohamed; Ouknine, Youssef; Nualart, David
2003
Asymptotic properties of the maximum likelihood estimator for stochastic parabolic equations with additive fractional Brownian motion. Zbl 1176.62019
Cialenco, Igor; Lototsky, Sergey V.; Pospišil, Jan
2009
Stochastic Cahn-Hilliard partial differential equations with Lévy spacetime white noises. Zbl 1098.60058
Bo, Lijun; Wang, Yongjin
2006
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
2002
A large deviation principle for the equilibrium states of Hölder potentials: the zero temperature case. Zbl 1088.60091
Baraviera, Alexandre; Lopes, Artur O.; Thieullen, Philippe
2006
A family of chaotic billiards with variable mixing rates. Zbl 1111.37029
Chernov, N.; Zhang, H.-K.
2005
Recursive computation of the invariant distribution of a diffusion: The case of a weakly mean reverting drift. Zbl 1044.60069
Lamberton, Damien; Pagès, Gilles
2003
Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations. Zbl 1057.37069
Langa, J. A.; Schmalfuss, B.
2004
Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010
Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R.
2004
On stochastic evolution equations with non-Lipschitz coefficients. Zbl 1204.60059
Zhang, Xicheng
2009
An optimal Markovian quantization algorithm for multi-dimensional stochastic control problems. Zbl 1111.65006
Pagès, Gilles; Pham, Huyên; Printems, Jacques
2004
Stochastic stabilization of dynamical systems using Lévy noise. Zbl 1218.93106
Applebaum, David; Siakalli, Michailina
2010
Statistical properties of one-dimensional maps with critical points and singularities. Zbl 1130.37362
Díaz-Ordaz, K.; Holland, M. P.; Luzzatto, S.
2006
Random attractors for second order stochastic lattice dynamical systems with multiplicative noise in weighted spaces. Zbl 1247.60093
Han, Xiaoying
2012
Pointwise ergodic theorems with rate with applications to limit theorems for stationary processes. Zbl 1210.60031
Cuny, Christophe
2011
Non-Lipschitz backward stochastic Volterra type equations with jumps. Zbl 1203.60094
Wang, Zhidong; Zhang, Xicheng
2007
The existence and asymptotic behaviour of mild solutions to stochastic evolution equations with infinite delays driven by Poisson jumps. Zbl 1181.60102
Taniguchi, Takeshi; Luo, Jiaowan
2009
Stochastic Cahn-Hilliard equation with fractional noise. Zbl 1156.60041
Bo, Lijun; Jiang, Yiming; Wang, Yongjin
2008
Optimal consumption and investment in incomplete markets with general constraints. Zbl 1237.91202
Cheridito, Patrick; Hu, Ying
2011
Two-step transition in nonautonomous bifurcations: An explanation. Zbl 1009.34037
Johnson, R. A.; Kloeden, P. E.; Pavani, R.
2002
Conceptual stochastic climate models. Zbl 1022.86001
2002
Nonstationary mixing and the unique ergodicity of adic transformations. Zbl 1231.28014
Fisher, Albert M.
2009
The stochastic wave equation driven by fractional Brownian noise and temporally correlated smooth noise. Zbl 1083.60053
Caithamer, Peter
2005
Induced topological pressure for countable state Markov shifts. Zbl 1376.37074
Jaerisch, Johannes; Kesseböhmer, Marc; Lamei, Sanaz
2014
Weak convergence to Lévy stable processes in dynamical systems. Zbl 1206.60047
Tyran-Kamińska, Marta
2010
Multidimensional bifractional Brownian motion: Itô and Tanaka formulas. Zbl 1139.60321
Es-Sebaiy, Khalifa; Tudor, Ciprian A.
2007
$$L^{p}$$-solutions for reflected backward stochastic differential equations. Zbl 1248.60064
2012
Multisite coordinated delayed feedback for an effective desynchronization of neuronal networks. Zbl 1070.92007
Hauptmann, C.; Popovych, O.; Tass, P. A.
2005
Averaging principle for stochastic perturbations of multifrequency systems. Zbl 1050.60078
Freidlin, M. I.; Wentzell, A. D.
2003
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
2008
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
2017
Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001
Berglund, Nils; Gentz, Barbara
2002
Stable limits for probability preserving maps with indifferent fixed points. Zbl 1035.37001
Zweimüller, Roland
2003
Optimal stopping with delayed information. Zbl 1089.60027
Øksendal, Bernt
2005
Smoluchowski-Kramers approximation and exit problems. Zbl 1083.60018
Chen, Zhiwei; Freidlin, Mark
2005
Large deviations for SPDEs of jump type. Zbl 1327.60074
Yang, Xue; Zhai, Jianliang; Zhang, Tusheng
2015
On a nonlocal stochastic Kuramoto-Sivashinsky equation with jumps. Zbl 1203.60080
Bo, Lijun; Shi, Kehua; Wang, Yongjin
2007
Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359
Böttcher, Björn; Schilling, René L.
2009
An averaging principle for two-scale stochastic partial differential equations. Zbl 1243.60053
Fu, Hongbo; Duan, Jinqiao
2011
Exponential mixing for some SPDEs with Lévy noise. Zbl 1239.60060
Priola, Enrico; Xu, Lihu; Zabczyk, Jerzy
2011
Another approach to some rough and stochastic partial differential equations. Zbl 1234.35330
Teichmann, Josef
2011
On the replicator dynamics behavior under Stratonovich type random perturbations. Zbl 1100.60030
Khasminskii, R.; Potsepun, N.
2006
Representation of pathwise stationary solutions of stochastic Burgers’ equations. Zbl 1192.60083
Liu, Yong; Zhao, Huaizhong
2009
Attractors for the stochastic 3D Navier-Stokes equations. Zbl 1059.35100
Marín-Rubio, Pedro; Robinson, James C.
2003
$$L^p$$-valued stochastic convolution integral driven by Volterra noise. Zbl 1417.60044
Čoupek, Petr; Maslowski, Bohdan; Ondreját, Martin
2018
Stochastic delay Gilpin-Ayala competition models. Zbl 1117.34079
Lian, Baosheng; Hu, Shigeng
2006
A nonconventional strong law of large numbers and fractal dimensions of some multiple recurrence sets. Zbl 1255.60044
Kifer, Yuri
2012
Long-term behaviour of large mechanical systems with random initial data. Zbl 1032.70009
Kupperman, R.; Stuart, A. M.; Terry, J. R.; Tupper, P. F.
2002
Stochastic versions of Anosov’s and Neistadt’s theorems on averaging. Zbl 1049.34055
Kifer, Yuri
2001
Rough Volterra equations. I: the algebraic integration setting. Zbl 1181.60105
Deya, Aurélien; Tindel, Samy
2009
Existence of global martingale solutions to stochastic hyperbolic equations driven by a spatially homogeneous Wiener process. Zbl 1092.60024
Ondreját, Martin
2006
$$L^2$$ diffusion approximation for slow motion in averaging. Zbl 1055.34087
Kifer, Yuri
2003
Periodicity and Sharkovsky’s theorem for random dynamical systems. Zbl 1064.37037
Klünger, Marc
2001
A note on parameter estimation for discretely sampled SPDEs. Zbl 1451.60063
Cialenco, Igor; Huang, Yicong
2020
Averaging principles for SPDEs driven by fractional Brownian motions with random delays modulated by two-time-scale Markov switching processes. Zbl 1394.60036
Pei, Bin; Xu, Yong; Yin, George
2018
Synchronization of systems with multiplicative noise. Zbl 1149.60036
Caraballo, Tomás; Kloeden, Peter E.; Neuenkirch, Andreas
2008
Return time statistics of invariant measures for interval maps with positive Lyapunov exponent. Zbl 1175.37044
Bruin, Henk; Todd, Mike
2009
The cohomology of stochastic and random differential equations, and local linearization of stochastic flows. Zbl 1020.60052
Imkeller, Peter; Lederer, Christian
2002
Global pullback attractors of $$\mathbb{C}$$-analytic nonautonomous dynamical systems. Zbl 1038.37020
Cheban, David N.
2001
Towards a Morse theory for random dynamical systems. Zbl 1050.37026
Crauel, Hans; Duc, Luu Hoang; Siegmund, Stefan
2004
A nonautonomous saddle-node bifurcation pattern. Zbl 1057.34032
Fabbri, Roberta; Johnson, Russell; Mantellini, Francesca
2004
Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052
Malheiro, Elaís C.; Viana, Marcelo
2015
A law of large numbers and large deviations for interacting diffusions on Erdős-Rényi graphs. Zbl 1434.60279
Coppini, Fabio; Dietert, Helge; Giacomin, Giambattista
2020
Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay. Zbl 1442.34125
Ma, Xiao; Shu, Xiao-Bao; Mao, Jianzhong
2020
Averaging principle for SDEs of neutral type driven by $$G$$-Brownian motion. Zbl 1444.34098
He, Xiaoying; Han, Song; Tao, Jin
2019
A unifying approach to fractional Lévy processes. Zbl 1273.60042
Engelke, Sebastian; Woerner, Jeannette H. C.
2013
On local entropy of random transformations. Zbl 1169.37003
Zhu, Yujun
2008
Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations. Zbl 1187.60045
Lázaro-Camí, Joan-Andreu; Ortega, Juan-Pablo
2009
BSDE representations for optimal switching problems with controlled volatility. Zbl 1291.93326
Elie, Romuald; Kharroubi, Idris
2014
First exit times of solutions of stochastic differential equations driven by multiplicative Lévy noise with heavy tails. Zbl 1235.60069
Pavlyukevich, Ilya
2011
Long range dependence, no arbitrage and the Black-Scholes formula. Zbl 1016.91053
Zähle, M.
2002
Equi-attraction and the continuous dependence of pullback attractors on parameters. Zbl 1059.37015
Li, Desheng; Kloeden, P. E.
2004
Derivative formula and Harnack inequality for degenerate functional SDEs. Zbl 1262.60052
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2013
The diffusion coefficient for piecewise expanding maps of the interval with metastable states. Zbl 1312.60089
Dolgopyat, Dmitry; Wright, Paul
2012
Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems. Zbl 1417.37185
Froyland, Gary; Stancevic, Ognjen
2013
Skorokhod embeddings in bounded time. Zbl 1241.60021
Ankirchner, Stefan; Strack, Philipp
2011
GKW representation theorem under restricted information. An application to risk-minimization. Zbl 1300.60061
Ceci, Claudia; Cretarola, Alessandra; Russo, Francesco
2014
Approximation properties for solutions to Itô-Doob stochastic fractional differential equations with non-Lipschitz coefficients. Zbl 1422.34011
Abouagwa, Mahmoud; Li, Ji
2019
Model reduction and stochastic resonance. Zbl 1027.60059
Imkeller, P.; Pavlyukevich, I.
2002
Gâteaux type path-dependent PDEs and BSDEs with Gaussian forward processes. Zbl 07492882
2022
Limit measures and ergodicity of fractional stochastic reaction-diffusion equations on unbounded domains. Zbl 07537118
Chen, Zhang; Wang, Bixiang
2022
Global solutions for semilinear rough partial differential equations. Zbl 1491.35274
Hesse, Robert; Neamţu, Alexandra
2022
Amplitude equations for SPDEs driven by fractional additive noise with small Hurst parameter. Zbl 07544516
Blömker, Dirk; Neamţu, Alexandra
2022
Dynamics of cholera epidemic models in fluctuating environments. Zbl 1460.92219
Phan, Tuan Anh; Tian, Jianjun Paul; Wang, Bixiang
2021
Large deviation for two-time-scale stochastic Burgers equation. Zbl 1476.35348
Sun, Xiaobin; Wang, Ran; Xu, Lihu; Yang, Xue
2021
Fecundity regulation in a spatial birth-and-death process. Zbl 1470.60234
Bezborodov, Viktor; Di Persio, Luca; Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr
2021
Extended backward stochastic Volterra integral equations, quasilinear parabolic equations, and Feynman-Kac formula. Zbl 1470.60143
Wang, Hanxiao
2021
Randomly switched vector fields sharing a zero on a common invariant face. Zbl 1470.60211
Strickler, Edouard
2021
A logistic-harvest model with Allee effect under multiplicative noise. Zbl 1473.37107
Tesfay, Almaz; Tesfay, Daniel; Brannan, James; Duan, Jinqiao
2021
Unique equilibrium states for some intermediate beta transformations. Zbl 1485.37051
Carapezza, Leonard; López, Marco; Robertson, Donald
2021
Fractional stochastic heat equation with piecewise constant coefficients. Zbl 1476.60076
Mishura, Yuliya; Ralchenko, Kostiantyn; Zili, Mounir; Zougar, Eya
2021
Asymptotic expansion for the quadratic variations of the solution to the heat equation with additive white noise. Zbl 1461.62139
Araya, Héctor; Tudor, Ciprian A.
2021
Cramér-type moderate deviations for the likelihood ratio process of Ornstein-Uhlenbeck process with shift. Zbl 1461.62173
Jiang, Hui; Liu, Hui
2021
Mean exit time and escape probability for the stochastic logistic growth model with multiplicative $$\alpha$$-stable Lévy noise. Zbl 1481.60116
Tesfay, Almaz; Tesfay, Daniel; Khalaf, Anas; Brannan, James
2021
Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems. Zbl 1482.37033
Wang, Xinsheng; Wu, Weisheng; Zhu, Yujun
2021
Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality. Zbl 1475.60125
Neuss, Marius
2021
Almost periodicity and periodicity for nonautonomous random dynamical systems. Zbl 1485.37050
Raynaud de Fitte, Paul
2021
On some properties of sticky Brownian motion. Zbl 1479.60161
Zhang, Haoyan; Jiang, Pingping
2021
Typical dynamics and fluctuation analysis of slow-fast systems driven by fractional Brownian motion. Zbl 1484.60047
Bourguin, Solesne; Gailus, Siragan; Spiliopoulos, Konstantinos
2021
Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces. Zbl 1485.37003
Carvalho, Silas L.; Condori, Alexander
2021
$$C^{\infty}$$-regularization of ODEs perturbed by noise. Zbl 1490.60135
Harang, Fabian Andsem; Perkowski, Nicolas
2021
On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations. Zbl 1490.60200
Beck, Christian; Hutzenthaler, Martin; Jentzen, Arnulf
2021
Reflected BSDEs when the obstacle is predictable and nonlinear optimal stopping problem. Zbl 07455952
2021
A note on parameter estimation for discretely sampled SPDEs. Zbl 1451.60063
Cialenco, Igor; Huang, Yicong
2020
A law of large numbers and large deviations for interacting diffusions on Erdős-Rényi graphs. Zbl 1434.60279
Coppini, Fabio; Dietert, Helge; Giacomin, Giambattista
2020
Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay. Zbl 1442.34125
Ma, Xiao; Shu, Xiao-Bao; Mao, Jianzhong
2020
Dynamics of stochastic FitzHugh-Nagumo systems with additive noise on unbounded thin domains. Zbl 1439.35592
Shi, Lin; Li, Dingshi; Li, Xiliang; Wang, Xiaohu
2020
Parameter estimation for Gaussian mean-reverting Ornstein-Uhlenbeck processes of the second kind: non-ergodic case. Zbl 1462.60042
Alazemi, Fares; Alsenafi, Abdulaziz; Es-Sebaiy, Khalifa
2020
Central limit theorems with a rate of convergence for time-dependent intermittent maps. Zbl 1456.37008
Hella, Olli; Leppänen, Juho
2020
A scaling limit for the stochastic mSQG equations with multiplicative transport noises. Zbl 1454.60096
Luo, Dejun; Saal, Martin
2020
Random switching near bifurcations. Zbl 1441.60057
Hurth, Tobias; Kuehn, Christian
2020
Random invariant manifolds for ill-posed stochastic evolution equations. Zbl 1441.37088
Neamţu, Alexandra
2020
Rates in almost sure invariance principle for quickly mixing dynamical systems. Zbl 1434.60104
Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F.
2020
Stability of McKean-Vlasov stochastic differential equations and applications. Zbl 1465.60047
Bahlali, Khaled; Mezerdi, Mohamed Amine; Mezerdi, Brahim
2020
Berry-Esséen bound for the parameter estimation of fractional Ornstein-Uhlenbeck processes. Zbl 1472.60090
Chen, Yong; Kuang, Nenghui; Li, Ying
2020
Strong Kac’s chaos in the mean-field Bose-Einstein condensation. Zbl 1456.60197
Albeverio, Sergio; De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania
2020
Weak well-posedness of multidimensional stable driven SDEs in the critical case. Zbl 1456.60143
Chaudru de Raynal, Paul-Éric; Menozzi, Stéphane; Priola, Enrico
2020
Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold. Zbl 1454.60088
Brzeźniak, Zdzisław; Hussain, Javed
2020
Moderate deviation principle for multivalued stochastic differential equations. Zbl 1443.60066
Zhang, Hua
2020
A space-consistent version of the minimum-contrast estimator for linear stochastic evolution equations. Zbl 1451.60068
Kříž, Pavel
2020
Sufficient conditions for expansive group action. Zbl 1445.37011
Barzanouni, Ali
2020
The complement value problem for non-local operators. Zbl 1442.35104
Sun, Wei
2020
The attractor of piecewise expanding maps of the interval. Zbl 1442.37054
Del Magno, Gianluigi; Dias, João Lopes; Duarte, Pedro; Gaivão, José Pedro
2020
Random entropy expansiveness for diffeomorphisms with dominated splittings. Zbl 1440.37041
Mi, Zeya
2020
Stochastic integrals and stochastic equations in set-valued and fuzzy-valued frameworks. Zbl 1454.34007
Michta, Mariusz
2020
Certain functionals of squared telegraph processes. Zbl 1434.60257
Martinucci, Barbara; Meoli, Alessandra
2020
Recurrence in mean for group actions. Zbl 07186897
Zhao, Cao; Ji, Yong
2020
Stein’s method of normal approximation for dynamical systems. Zbl 1472.60043
Hella, Olli; Leppänen, Juho; Stenlund, Mikko
2020
Hidden Gibbs measures on shift spaces over countable alphabets. Zbl 1457.37050
Iommi, Godofredo; Lacalle, Camilo; Yayama, Yuki
2020
A note on large deviations for unbounded observables. Zbl 1456.37009
Nicol, Matthew; Török, Andrew
2020
Random time change and related evolution equations. Time asymptotic behavior. Zbl 1452.35038
Kochubei, Anatoly N.; Kondratiev, Yuri G.; da Silva, José L.
2020
Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh-Nagumo lattice systems with quasi-periodic forces and multiplicative noise. Zbl 1454.37076
Han, Zongfei; Zhou, Shengfan
2020
The multi-transitivity of free semigroup actions. Zbl 1454.37017
Ding, Zhumin; Yin, Jiandong; Luo, Xiaofang
2020
Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure. Zbl 1448.60138
Gubinelli, M.; Turra, M.
2020
Averaging principle for SDEs of neutral type driven by $$G$$-Brownian motion. Zbl 1444.34098
He, Xiaoying; Han, Song; Tao, Jin
2019
Approximation properties for solutions to Itô-Doob stochastic fractional differential equations with non-Lipschitz coefficients. Zbl 1422.34011
Abouagwa, Mahmoud; Li, Ji
2019
On the existence and uniqueness of solution to a stochastic 2D Allen-Cahn-Navier-Stokes model. Zbl 1410.35295
Medjo, Theodore Tachim
2019
Self-normalized asymptotic properties for the parameter estimation in fractional Ornstein-Uhlenbeck process. Zbl 1419.62212
Jiang, Hui; Liu, Junfeng; Wang, Shaochen
2019
Weak solutions to Vlasov-McKean equations under Lyapunov-type conditions. Zbl 1434.60216
Mehri, Sima; Stannat, Wilhelm
2019
Harnack and shift Harnack inequalities for SDEs with integrable drifts. Zbl 1423.60092
Huang, Xing
2019
Correlation inequalities and monotonicity properties of the Ruelle operator. Zbl 1453.37028
Cioletti, L.; Lopes, A. O.
2019
Random attractors of Fitzhugh-Nagumo systems driven by colored noise on unbounded domains. Zbl 1423.35473
Gu, Anhui; Wang, Bixiang
2019
Random exponential attractor for second-order nonautonomous stochastic lattice systems with multiplicative white noise. Zbl 1473.37068
Su, Haijuan; Zhou, Shengfan; Wu, Luyao
2019
A note on symmetries of diffusions within a martingale problem approach. Zbl 1435.58004
De Vecchi, Francesco C.; Morando, Paola; Ugolini, Stefania
2019
Asymptotic analysis and homogenization of invariant measures. Zbl 1415.60053
Misiats, Oleksandr; Stanzhytskyi, Oleksandr; Yip, Nung Kwan
2019
Scaling limit for escapes from unstable equilibria in the vanishing noise limit: nontrivial Jordan block case. Zbl 1415.60060
Bakhtin, Yuri; Pajor-Gyulai, Zsolt
2019
Necessary and sufficient conditions for ergodicity of CIR type SDEs with Markov switching. Zbl 1415.60035
Zhang, Zhenzhong; Yang, Hongqian; Tong, Jinying; Hu, Liangjian
2019
Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori. Zbl 1426.37045
Andres, Jan
2019
Path-dependent martingale problems and additive functionals. Zbl 1418.60092
2019
Long-time behavior of random and nonautonomous Fisher-KPP equations. II. Transition fronts. Zbl 1430.35131
Salako, Rachidi B.; Shen, Wenxian
2019
Backward stochastic differential equations with non-Markovian singular terminal values. Zbl 1415.60068
Sezer, Ali Devin; Kruse, Thomas; Popier, Alexandre
2019
Livšic theorem for matrix cocycles over nonuniformly hyperbolic systems. Zbl 1416.37034
Zou, Rui; Cao, Yongluo
2019
Blow-up solutions of the stochastic nonlocal heat equations. Zbl 1415.60080
Wang, Xiaohuan
2019
Diffusive behavior of ergodic sums over rotations. Zbl 1473.37051
Conze, Jean-Pierre; Isola, Stefano; Le Borgne, Stéphane
2019
Limiting dynamics for stochastic Fitzhugh-Nagumo equations on large domains. Zbl 1423.60104
Li, Yangrong; Li, Fuzhi
2019
$$N$$-intertwined SIS epidemic model with Markovian switching. Zbl 1472.92202
Cao, Xiaochun; Jin, Zhen
2019
Convergence rates in the weak law of large numbers for weighted sums of i.i.d. random variables and applications in errors-in-variables models. Zbl 1436.62071
Zhang, Mingyang; Chen, Pingyan; Sung, Soo Hak
2019
Periodic stochastic high-order Degasperis-Procesi equation with cylindrical fBm. Zbl 1434.60149
Chen, Yong; Gao, Hongjun; Huang, Jianhua
2019
Central limit theorem for generalized Weierstrass functions. Zbl 1409.37028
De Lima, Amanda; Smania, Daniel
2019
Backward stochastic differential equations with unbounded generators. Zbl 1434.60140
Gashi, Bujar; Li, Jiajie
2019
Occupation times of discrete-time fractional Brownian motion. Zbl 1488.60093
Denker, Manfred; Zheng, Xiaofei
2019
Stochastic partial differential equations driven by space-time fractional noises. Zbl 1415.60073
Hu, Ying; Jiang, Yiming; Qian, Zhongmin
2019
Weak solutions for stochastic differential equations with additive fractional noise. Zbl 1415.60076
Li, Zhi; Xu, Liping; Yan, Litan
2019
Data assimilation for a multiscale stochastic dynamical system with Gaussian noise. Zbl 1433.60045
Zhang, Yanjie; Ren, Jian
2019
Anticipated backward SDEs with jumps and quadratic-exponential growth drivers. Zbl 1415.39013
Fujii, Masaaki; Takahashi, Akihiko
2019
Homogenization and correctors for linear stochastic equations via the periodic unfolding methods. Zbl 1423.60105
Mohammed, Mogtaba
2019
Stochastic traveling waves of a stochastic Fisher-KPP equation and bifurcations for asymptotic behaviors. Zbl 1418.60048
Wang, Zhenzhen; Huang, Zhehao; Liu, Zhengrong
2019
Compactness in Lebesgue-Bochner spaces of random variables and the existence of mean-square random attractors. Zbl 1427.60009
Wang, Yejuan; Zhu, Xiangming; Kloeden, Peter
2019
$$L^p$$-valued stochastic convolution integral driven by Volterra noise. Zbl 1417.60044
Čoupek, Petr; Maslowski, Bohdan; Ondreját, Martin
2018
Averaging principles for SPDEs driven by fractional Brownian motions with random delays modulated by two-time-scale Markov switching processes. Zbl 1394.60036
Pei, Bin; Xu, Yong; Yin, George
2018
Ergodic BSDEs driven by $$G$$-Brownian motion and applications. Zbl 1417.60050
Hu, Mingshang; Wang, Falei
2018
Random attractors for 3D Benjamin-Bona-Mahony equations derived by a Laplace-multiplier noise. Zbl 1386.60222
Li, Yangrong; Wang, Renhai
2018
Strong solutions for functional SDEs with singular drift. Zbl 1378.60082
Huang, Xing
2018
Non-central limit theorems for quadratic functionals of Hermite-driven long memory moving average processes. Zbl 1397.60060
Diu Tran, T. T.
2018
Hui, Huihui; Ma, Dongkui
2018
Singular perturbation approximation for linear systems with Lévy noise. Zbl 1394.60047
Redmann, Martin; Benner, Peter
2018
Asymptotic decomposition of substochastic semigroups and applications. Zbl 06813207
Pichór, Katarzyna; Rudnicki, Ryszard
2018
Chernoff approximation of subordinate semigroups. Zbl 06871300
Butko, Yana A.
2018
Moderate deviations for stochastic models of two-dimensional second grade fluids. Zbl 1396.60075
Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting
2018
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### Cited by 3,193 Authors

 56 Wang, Bixiang 48 Caraballo Garrido, Tomás 42 Duan, Jinqiao 37 Kloeden, Peter Eris 35 Zhou, Shengfan 33 Yan, Litan 31 Melbourne, Ian 27 Li, Yangrong 24 Lopes, Artur Oscar 23 Stuart, Andrew M. 22 Gu, Anhui 22 Shen, Guangjun 20 Terhesiu, Dalia 20 Wang, Yongjin 20 Xu, Yong 19 Huang, Jianhua 19 Lu, Kening 18 Han, Xiaoying 18 Pei, Bin 18 Shu, Ji 18 Todd, Mike 18 Tudor, Ciprian A. 18 Wang, Renhai 17 Langa, Jose’ Antonio 16 Zhao, Caidi 15 Gao, Hongjun 15 Jiang, Yiming 15 Mao, Xuerong 15 Tindel, Samy 15 Wang, Yejuan 15 Yin, George Gang 14 Kesseböhmer, Marc 14 Pagès, Gilles 14 Wang, Xiaohu 13 Freitas, Jorge Milhazes 13 Li, Dingshi 13 Liu, Wei 13 Real Anguas, José 13 Valero, José 13 Wu, Jianglun 13 Yin, Xiuwei 12 Andres, Jan 12 Cheban, David Nikolai 12 Cui, Hongyong 12 Dolgopyat, Dmitry 12 Huang, Xing 12 Liu, Junfeng 12 Maslowski, Bohdan 12 Merlevède, Florence 12 Ren, Yong 12 Röckner, Michael 12 Vaienti, Sandro 11 Aaronson, Jon 11 Bo, Lijun 11 Cerrai, Sandra 11 Freidlin, Mark I. 11 Liu, Jicheng 11 Marín-Rubio, Pedro 11 Nicol, Matthew 11 Ondreját, Martin 11 Panloup, Fabien 11 Rasmussen, Martin 11 Russo, Francesco 11 Schmalfuß, Björn 11 Wu, Fuke 11 Zhai, Jianliang 10 Bruin, Henk 10 Garnier, Josselin 10 González-Tokman, Cecilia 10 Gouëzel, Sébastien 10 Guo, Boling 10 Hairer, Martin 10 Högele, Michael Anton 10 Nualart, David 10 Peligrad, Magda 10 Shi, Lin 10 Siegmund, Stefan 10 Stadlbauer, Manuel 10 Sun, Xichao 10 Tachim Medjo, Theodore 10 Wang, Wei 10 Yang, Meihua 10 Yuan, Chenggui 10 Zhao, Wenqiang 9 Brzeźniak, Zdzisław 9 Dedecker, Jérôme 9 Freitas, Ana Cristina Moreira 9 Froyland, Gary 9 Jentzen, Arnulf 9 Li, Zhi 9 Mengue, Jairo K. 9 Nguyen Dinh Cong 9 Pavlyukevich, Ilya 9 Pène, Françoise 9 Ruffino, Paulo Régis C. 9 Sølna, Knut 9 Urbański, Mariusz 9 Varandas, Paulo 9 Wang, Zhaojuan 9 Zhang, Hongkun ...and 3,093 more Authors
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### Cited in 439 Journals

 203 Stochastics and Dynamics 123 Stochastic Processes and their Applications 95 Journal of Differential Equations 89 Journal of Mathematical Analysis and Applications 84 Discrete and Continuous Dynamical Systems. Series B 79 Stochastic Analysis and Applications 60 Discrete and Continuous Dynamical Systems 58 Ergodic Theory and Dynamical Systems 57 Journal of Statistical Physics 53 Communications in Mathematical Physics 51 Stochastics 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Journal of Mathematical Physics 38 Statistics & Probability Letters 37 Dynamical Systems 36 Applied Mathematics and Computation 35 Journal of Theoretical Probability 34 The Annals of Applied Probability 31 Nonlinearity 31 Physica D 31 Advances in Difference Equations 30 Transactions of the American Mathematical Society 30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 30 Abstract and Applied Analysis 29 Journal of Dynamics and Differential Equations 29 Bernoulli 27 The Annals of Probability 27 Journal of Difference Equations and Applications 26 Probability Theory and Related Fields 25 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 23 Journal of Functional Analysis 22 Applied Mathematics and Optimization 21 Proceedings of the American Mathematical Society 21 SIAM Journal on Control and Optimization 21 Potential Analysis 20 Israel Journal of Mathematics 20 Chaos 20 Acta Mathematica Sinica. English Series 20 Communications on Pure and Applied Analysis 18 Journal of Computational Physics 18 Advances in Mathematics 18 Journal of Mathematical Sciences (New York) 18 Electronic Journal of Probability 18 Frontiers of Mathematics in China 17 Journal of Computational and Applied Mathematics 17 Applied Mathematics Letters 17 Science China. Mathematics 15 Applicable Analysis 15 Bulletin des Sciences Mathématiques 14 Physica A 14 Bulletin of the Brazilian Mathematical Society. New Series 14 Stochastic and Partial Differential Equations. Analysis and Computations 13 Chaos, Solitons and Fractals 13 Infinite Dimensional Analysis, Quantum Probability and Related Topics 12 Mathematical Methods in the Applied Sciences 12 SIAM Journal on Mathematical Analysis 11 International Journal of Control 11 Mathematical Problems in Engineering 10 Theory of Probability and its Applications 10 Communications in Nonlinear Science and Numerical Simulation 10 Nonlinear Analysis. Real World Applications 10 Multiscale Modeling & Simulation 10 Electronic Journal of Statistics 10 Discrete and Continuous Dynamical Systems. Series S 10 Modern Stochastics. Theory and Applications 10 AIMS Mathematics 9 Advances in Applied Probability 9 Communications in Statistics. Theory and Methods 9 Journal of Nonlinear Science 9 NoDEA. Nonlinear Differential Equations and Applications 9 Electronic Communications in Probability 9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Discrete Dynamics in Nature and Society 9 Journal of Evolution Equations 9 Journal of Applied Analysis and Computation 8 Computers & Mathematics with Applications 8 Journal of Applied Probability 8 Chinese Annals of Mathematics. Series B 8 Acta Mathematicae Applicatae Sinica. English Series 8 Journal of Economic Dynamics & Control 8 European Journal of Operational Research 8 Random Operators and Stochastic Equations 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of the Franklin Institute 7 Systems & Control Letters 7 SIAM Journal on Scientific Computing 7 Journal of Inequalities and Applications 7 Statistical Inference for Stochastic Processes 7 Journal of Dynamical and Control Systems 7 Boundary Value Problems 7 ALEA. Latin American Journal of Probability and Mathematical Statistics 7 Set-Valued and Variational Analysis 7 SIAM/ASA Journal on Uncertainty Quantification 6 Annales de l’Institut Fourier 6 Journal of Optimization Theory and Applications 6 Journal of Statistical Planning and Inference 6 Monatshefte für Mathematik 6 Insurance Mathematics & Economics 6 Communications in Partial Differential Equations 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 339 more Journals
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### Cited in 58 Fields

 1,895 Probability theory and stochastic processes (60-XX) 1,047 Dynamical systems and ergodic theory (37-XX) 761 Partial differential equations (35-XX) 414 Ordinary differential equations (34-XX) 214 Systems theory; control (93-XX) 205 Numerical analysis (65-XX) 181 Statistics (62-XX) 172 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 161 Biology and other natural sciences (92-XX) 124 Statistical mechanics, structure of matter (82-XX) 123 Fluid mechanics (76-XX) 117 Operator theory (47-XX) 107 Measure and integration (28-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 61 Number theory (11-XX) 48 Integral equations (45-XX) 46 Real functions (26-XX) 40 Geophysics (86-XX) 37 Global analysis, analysis on manifolds (58-XX) 36 Difference and functional equations (39-XX) 28 Mechanics of deformable solids (74-XX) 27 Mechanics of particles and systems (70-XX) 26 Functional analysis (46-XX) 26 Operations research, mathematical programming (90-XX) 20 Computer science (68-XX) 18 Combinatorics (05-XX) 17 Quantum theory (81-XX) 16 Information and communication theory, circuits (94-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Functions of a complex variable (30-XX) 12 Potential theory (31-XX) 10 Approximations and expansions (41-XX) 10 Convex and discrete geometry (52-XX) 9 Differential geometry (53-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Group theory and generalizations (20-XX) 8 Optics, electromagnetic theory (78-XX) 7 General topology (54-XX) 6 Topological groups, Lie groups (22-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Special functions (33-XX) 5 Abstract harmonic analysis (43-XX) 4 Mathematical logic and foundations (03-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX)