Edit Profile (opens in new tab) Xiao, Yimin Co-Author Distance Author ID: xiao.yimin Published as: Xiao, Yimin; Xiao, Yi Min; Xiao, YiMin; Xiao, Y.; Xiao, Yi-Min; Xiao, Y. M. more...less Homepage: http://www.stt.msu.edu/~xiaoyimi External Links: MGP · Math-Net.Ru · dblp · IdRef · theses.fr Documents Indexed: 172 Publications since 1988, including 7 Additional arXiv Preprints Reviewing Activity: 137 Reviews Co-Authors: 84 Co-Authors with 134 Joint Publications 1,958 Co-Co-Authors all top 5 Co-Authors 36 single-authored 22 Khoshnevisan, Davar 16 Wu, Dongsheng 9 Ayache, Antoine 7 Lee, Cheuk-Yin 7 Li, Linyuan 7 Meerschaert, Mark Marvin 7 Shieh, Narn-Rueih 6 Nane, Erkan 5 Wang, Wensheng 4 Dalang, Robert C. 4 Lan, Xiaohong 4 Li, Yuqiang 3 Chen, Zhenlong 3 Cheng, Dan 3 Li, Bing 3 Liu, Luqin 3 Müller, Carl E. 3 Roueff, François 3 Sang, Hailin 3 Song, Jian 3 Wu, Jun 3 Yang, Xiaochuan 3 Yuan, Wangjun 3 Zhong, Yuquan 2 Falconer, Kenneth J. 2 Kim, Kunwoo 2 Luan, Nana 2 Luks, Tomasz 2 Park, Hyunchul 2 Song, Renming 2 Su, Zhonggen 2 Tudor, Ciprian A. 2 Wang, Ran 2 Xu, Lihu 2 Zeleke, Aklilu 2 Zhou, Yuzhen 1 Allouba, Hassan 1 Baraka, Driss 1 Becker-Kern, Peter 1 Beknazaryan, Aleksandr F. 1 Biermé, Hermine 1 Ding, Xiaoqing 1 Ding, Yujia 1 Du, Yali 1 Estrade, Anne 1 Gilliland, Dennis C. 1 Herbin, Erick 1 Herrell, Randall 1 Hu, Dihe 1 Hu, Zhang-nan 1 Järvenpää, Esa 1 Järvenpää, Maarit 1 Jin, Xinghu 1 Koivusalo, Henna 1 Lacaux, Céline 1 Levental, Shlomo 1 Li, Bo 1 Lim, Chae Young 1 Lin, Huonan 1 Lu, Kewei 1 Lu, Tianshi 1 Ma, Chunsheng 1 Marinucci, Domenico 1 Miao, Junjie 1 Mountford, Thomas S. 1 Nielsen, Kim Lau 1 Niordson, Christian F. 1 Nualart, Eulalia 1 Panigrahi, Snigdha 1 Peligrad, Magda 1 Peng, Qidi 1 Peres, Yuval 1 Roy, Parthanil 1 Safikhani, Abolfazl 1 Schilling, René Leander 1 Sun, Xiaobin 1 Suomala, Ville 1 Swanson, Jason 1 Talagrand, Michel 1 Wu, Wei-Ying 1 Xue, Yun 1 Yang, Guangyu 1 Zhai, Jianliang 1 Zhang, Tusheng S. 1 Zhao, Xingqiu 1 Zheng, Xinghua all top 5 Serials 13 Stochastic Processes and their Applications 12 Journal of Theoretical Probability 10 Bernoulli 9 The Annals of Probability 9 Statistics & Probability Letters 6 Probability Theory and Related Fields 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematics. Wuhan University 5 Electronic Journal of Probability 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Transactions of the American Mathematical Society 4 Chinese Annals of Mathematics. Series A 4 The Journal of Fourier Analysis and Applications 3 Acta Scientiarum Mathematicarum 2 Bulletin of the London Mathematical Society 2 Journal of Applied Probability 2 Journal of Multivariate Analysis 2 Proceedings of the American Mathematical Society 2 Journal of Wuhan University. Natural Science Edition 2 Communications in Statistics. Theory and Methods 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Electronic Communications in Probability 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Frontiers of Mathematics in China 2 Communications on Stochastic Analysis 1 Communications in Mathematical Physics 1 Metrika 1 Studia Mathematica 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Acta Mathematica Sinica 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Probability and Mathematical Statistics 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Advances in Mathematics (Beijing) 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 The Annals of Applied Probability 1 Acta Mathematica Sinica. New Series 1 Stochastics and Stochastics Reports 1 Chinese Science Bulletin 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chinese Quarterly Journal of Mathematics 1 European Journal of Mechanics. A. Solids 1 Stochastics and Dynamics 1 Stochastics 1 Current Development in Theory and Applications of Wavelets 1 Science China. Mathematics 1 Scientia Sinica. Mathematica all top 5 Fields 151 Probability theory and stochastic processes (60-XX) 49 Measure and integration (28-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Statistics (62-XX) 5 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Numerical analysis (65-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 141 Publications have been cited 1,653 times in 737 Documents Cited by ▼ Year ▼ Hölder conditions for the local times and the Hausdorff measure of the level sets of Gaussian random fields. Zbl 0882.60035 Xiao, Yimin 88 1997 Sample path properties of anisotrophic Gaussian random fields. Zbl 1167.60011 Xiao, Yimin 70 2009 Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets. Zbl 1088.60033 Ayache, Antoine; Xiao, Yimin 54 2005 Sample path properties of bifractional Brownian motion. Zbl 1132.60034 Tudor, Ciprian A.; Xiao, Yimin 48 2007 Random fractals and Markov processes. Zbl 1068.60092 Xiao, Yimin 41 2004 Local times of fractional Brownian sheets. Zbl 1009.60024 Xiao, Yimin; Zhang, Tusheng 39 2002 Strong local nondeterminism and sample path properties of Gaussian random fields. Zbl 1269.60043 Xiao, Yimin 39 2008 Geometric properties of fractional Brownian sheets. Zbl 1127.60032 Wu, Dongsheng; Xiao, Yimin 37 2007 Properties of local-nondeterminism of Gaussian and stable random fields and their applications. Zbl 1128.60041 Xiao, Yimin 35 2006 Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Zbl 1322.60069 Meerschaert, Mark M.; Wang, Wensheng; Xiao, Yimin 33 2013 Limsup random fractals. Zbl 0949.60025 Khoshnevisan, Davar; Peres, Yuval; Xiao, Yimin 30 2000 Intermittency and multifractality: a case study via parabolic stochastic PDEs. Zbl 1418.60081 Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin 30 2017 Joint continuity of the local times of fractional Brownian sheets. Zbl 1180.60032 Ayache, Antoine; Wu, Dongsheng; Xiao, Yimin 30 2008 Multivariate operator-self-similar random fields. Zbl 1217.60040 Li, Yuqiang; Xiao, Yimin 29 2011 Excursion probability of Gaussian random fields on sphere. Zbl 1337.60102 Cheng, Dan; Xiao, Yimin 29 2016 Correlated continuous time random walks. Zbl 1179.60024 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 28 2009 Lévy processes: capacity and Hausdorff dimension. Zbl 1072.60040 Khoshnevisan, Davar; Xiao, Yimin 27 2005 Measuring the range of an additive Lévy process. Zbl 1039.60048 Khoshnevisan, Davar; Xiao, Yimin; Zhong, Yuquan 27 2003 Harmonic analysis of additive Lévy processes. Zbl 1183.60019 Khoshnevisan, Davar; Xiao, Yimin 26 2009 Hitting probabilities and the Hausdorff dimension of the inverse images of anisotropic Gaussian random fields. Zbl 1165.60022 Biermé, Hermine; Lacaux, Céline; Xiao, Yimin 26 2009 Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086 Tudor, Ciprian A.; Xiao, Yimin 24 2017 Level sets of additive Lévy processes. Zbl 1019.60049 Khoshnevisan, Davar; Xiao, Yimin 24 2002 Recent developments on fractal properties of Gaussian random fields. Zbl 1284.60101 Xiao, Yimin 23 2013 Packing dimension of the image of fractional Brownian motion. Zbl 0903.60073 Xiao, Yimin 22 1997 Dimension results for Gaussian vector fields and index-\(\alpha\) stable fields. Zbl 0834.60040 Xiao, Yimin 21 1995 Local times of additive Lévy processes. Zbl 1075.60520 Khoshnevisan, Davar; Xiao, Yimin; Zhong, Yuquan 21 2003 Regularity of intersection local times of fractional Brownian motions. Zbl 1217.60030 Wu, Dongsheng; Xiao, Yimin 21 2010 Linear fractional stable sheets: Wavelet expansion and sample path properties. Zbl 1162.60324 Ayache, Antoine; Roueff, François; Xiao, Yimin 20 2009 Images of the Brownian sheet. Zbl 1124.60037 Khoshnevisan, Davar; Xiao, Yimin 19 2007 Local times and related properties of multidimensional iterated Brownian motion. Zbl 0914.60063 Xiao, Yimin 18 1998 Fractal and smoothness properties of space-time Gaussian models. Zbl 1271.62216 Xue, Yun; Xiao, Yimin 18 2011 Hausdorff and packing dimensions of the images of random fields. Zbl 1227.60049 Shieh, Narn-Rueih; Xiao, Yimin 17 2010 Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields. Zbl 1261.60040 Luan, Nana; Xiao, Yimin 17 2012 Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 17 2008 Local times of multifractional Brownian sheets. Zbl 1186.60036 Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin 16 2008 Dimension results for sample paths of operator stable Lévy processes. Zbl 1074.60079 Meerschaert, Mark M.; Xiao, Yimin 16 2005 Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times. Zbl 1268.60048 Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin 16 2011 Fractal dimension results for continuous time random walks. Zbl 1401.60080 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 16 2013 Sectorial local non-determinism and the geometry of the Brownian sheet. Zbl 1111.60020 Xiao, Yimin; Khoshnevisan, Davar; Wu, Dongsheng 15 2006 On the minimax optimality of block thresholded wavelet estimators with long memory data. Zbl 1331.62220 Li, Linyuan; Xiao, Yimin 14 2007 Hausdorff measure of the graph of fractional Brownian motion. Zbl 0897.60043 Xiao, Yimin 14 1997 Polarity of points for Gaussian random fields. Zbl 1390.60135 Dalang, Robert C.; Mueller, Carl; Xiao, Yimin 14 2017 Hitting probabilities and polar sets for fractional Brownian motion. Zbl 0928.60027 Xiao, Yimin 14 1999 The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments. Zbl 1339.60055 Cheng, Dan; Xiao, Yimin 14 2016 Hausdorff measure of the sample paths of Gaussian random fields. Zbl 0872.60030 Xiao, Yimin 12 1996 Fractional Brownian motion and packing dimension. Zbl 0860.60064 Talagrand, Michel; Xiao, Yimin 12 1996 Weak unimodality of finite measures, and an application to potential theory of additive Lévy processes. Zbl 1012.60053 Khoshnevisan, Davar; Xiao, Yimin 12 2003 Properties of strong local nondeterminism and local times of stable random fields. Zbl 1261.60048 Xiao, Yimin 11 2011 Uniform modulus of continuity of random fields. Zbl 1181.60074 Xiao, Yimin 11 2010 Hitting probabilities of random covering sets in tori and metric spaces. Zbl 1395.60014 Järvenpää, Esa; Järvenpää, Maarit; Koivusalo, Henna; Li, Bing; Suomala, Ville; Xiao, Yimin 11 2017 A macroscopic multifractal analysis of parabolic stochastic PDEs. Zbl 1454.60095 Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin 11 2018 Dimension properties of sample paths of self-similar processes. Zbl 0813.60042 Xiao, Yimin; Lin, Huonan 10 1994 Images of Gaussian random fields: Salem sets and interior points. Zbl 1105.60023 Shieh, Narn-Rueih; Xiao, Yimin 10 2006 Hitting probabilities of the random covering sets. Zbl 1321.60015 Li, Bing; Shieh, Narn-Rueih; Xiao, Yimin 10 2013 Local and asymptotic properties of linear fractional stable sheets. Zbl 1112.60038 Ayache, Antoine; Roueff, François; Xiao, Yimin 9 2007 Packing dimension of the range of a Lévy process. Zbl 1151.60022 Khoshnevisan, Davar; Xiao, Yimin 9 2008 Exact moduli of continuity for operator-scaling Gaussian random fields. Zbl 1322.60066 Li, Yuqiang; Wang, Wensheng; Xiao, Yimin 9 2015 On intersections of independent anisotropic Gaussian random fields. Zbl 1260.60099 Chen, ZhenLong; Xiao, YiMin 9 2012 Fractal properties of the random string processes. Zbl 1120.60040 Wu, Dongsheng; Xiao, Yimin 8 2006 Additive Lévy processes: capacity and Hausdorff dimension. Zbl 1065.60101 Khoshnevisan, Davar; Xiao, Yimin 8 2004 Packing dimension, Hausdorff dimension and Cartesian product sets. Zbl 0864.28001 Xiao, Yimin 8 1996 Hölder properties of local times for fractional Brownian motions. Zbl 1433.60018 Baraka, D.; Mountford, T.; Xiao, Y. 8 2009 On local times of anisotropic Gaussian random fields. Zbl 1331.60060 Wu, Dongsheng; Xiao, Yimin 8 2011 Packing-dimension profiles and fractional Brownian motion. Zbl 1152.28009 Khoshnevisan, Davar; Xiao, Yimin 8 2008 On the macroscopic fractal geometry of some random sets. Zbl 1409.60075 Khoshnevisan, Davar; Xiao, Yimin 8 2017 Sharp space-time regularity of the solution to stochastic heat equation driven by fractional-colored noise. Zbl 1447.60064 Herrell, Randall; Song, Renming; Wu, Dongsheng; Xiao, Yimin 8 2020 Chung’s law of the iterated logarithm for anisotropic Gaussian random fields. Zbl 1210.60037 Luan, Nana; Xiao, Yimin 8 2010 Occupation time fluctuations of weakly degenerate branching systems. Zbl 1263.60077 Li, Yuqiang; Xiao, Yimin 8 2012 Packing dimension profiles and Lévy processes. Zbl 1266.60071 Khoshnevisan, D.; Schilling, R. L.; Xiao, Y. 7 2012 Continuity in the Hurst index of the local times of anisotropic Gaussian random fields. Zbl 1165.60320 Wu, Dongsheng; Xiao, Yimin 7 2009 Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. Zbl 1390.60185 Lan, Xiaohong; Marinucci, Domenico; Xiao, Yimin 7 2018 Uniform dimension results for Gaussian random fields. Zbl 1205.60078 Wu, DongSheng; Xiao, YiMin 7 2009 Packing measure of the sample paths of fractional Brownian motion. Zbl 0858.60039 Xiao, Yimin 7 1996 Critical Brownian sheet does not have double points. Zbl 1269.60053 Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulalia; Wu, Dongsheng; Xiao, Yimin 7 2012 Hausdorff-type measures of the sample paths of fractional Brownian motion. Zbl 0937.60076 Xiao, Yimin 6 1998 Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405 Xiao, Y.; Shi, J. N.; Yang, Z. W. 6 2018 Asymptotic results for self-similar Markov processes. Zbl 0936.60060 Xiao, Yimin 6 1998 A packing dimension theorem for Gaussian random fields. Zbl 1158.60018 Xiao, Yimin 6 2009 Packing dimension results for anisotropic Gaussian random fields. Zbl 1331.60057 Estrade, Anne; Wu, Dongsheng; Xiao, Yimin 6 2011 Tail estimation of the spectral density for a stationary Gaussian random field. Zbl 1277.62222 Wu, Wei-Ying; Lim, Chae Young; Xiao, Yimin 6 2013 Cramér type moderate deviations for random fields. Zbl 1418.60018 Beknazaryan, Aleksandr; Sang, Hailin; Xiao, Yimin 6 2019 Wavelet-based estimators of mean regression function with long memory data. Zbl 1099.62041 Li, Lin-Yuan; Xiao, Yi-Min 5 2006 Brownian motion and thermal capacity. Zbl 1305.60077 Khoshnevisan, Davar; Xiao, Yimin 5 2015 L-Kuramoto-Sivashinsky SPDEs vs. time-fractional SPIDEs: exact continuity and gradient moduli, 1/2-derivative criticality, and laws. Zbl 1454.60085 Allouba, Hassan; Xiao, Yimin 5 2017 Exact moderate and large deviations for linear random fields. Zbl 1401.60047 Sang, Hailin; Xiao, Yimin 5 2018 Local nondeterminism and the exact modulus of continuity for stochastic wave equation. Zbl 1422.60058 Lee, Cheuk Yin; Xiao, Yimin 5 2019 A strong law of large numbers with applications to self-similar stable processes. Zbl 1274.60098 Nane, Erkan; Xiao, Yimin; Zeleke, Aklilu 5 2010 Strong local nondeterminism of spherical fractional Brownian motion. Zbl 1392.60034 Lan, Xiaohong; Xiao, Yimin 5 2018 Joint continuity of the local times of linear fractional stable sheets. Zbl 1117.60042 Ayache, Antoine; Roueff, François; Xiao, Yimin 4 2007 Dimensional properties of fractional Brownian motion. Zbl 1121.60039 Wu, Dong Sheng; Xiao, Yi Min 4 2007 Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030 Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin 4 2018 Hausdorff dimension theorems for self-similar Markov processes. Zbl 0985.60075 Liu, Luqin; Xiao, Yimin 4 1998 The packing measure of the trajectories of multiparameter fractional Brownian motion. Zbl 1041.60039 Xiao, Yimin 4 2003 Hausdorff dimension of the contours of symmetric additive Lévy processes. Zbl 1139.60010 Khoshnevisan, Davar; Shieh, Narn-Rueih; Xiao, Yimin 4 2008 Wavelet-based estimation of regression function with strong mixing errors under fixed design. Zbl 1369.62059 Li, Linyuan; Xiao, Yimin 4 2017 Tail asymptotics for the extremes of bivariate Gaussian random fields. Zbl 1392.60033 Zhou, Yuzhen; Xiao, Yimin 4 2017 Generalized dimensions of images of measures under Gaussian processes. Zbl 1292.60047 Falconer, Kenneth; Xiao, Yimin 4 2014 Multiple points of Gaussian random fields. Zbl 1480.60089 Dalang, Robert C.; Lee, Cheuk Yin; Mueller, Carl; Xiao, Yimin 4 2021 Natural boundary of random Dirichlet series. Zbl 1119.60032 Ding, Xiaoqing; Xiao, Yimin 3 2006 A note on absorption probabilities in one-dimensional random walk via complex-valued martingales. Zbl 1138.60036 Gilliland, Dennis; Levental, Shlomo; Xiao, Yimin 3 2007 Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields. Zbl 1527.60025 Lee, Cheuk Yin; Xiao, Yimin 2 2023 Hitting probabilities of Gaussian random fields and collision of eigenvalues of random matrices. Zbl 07686401 Lee, Cheuk Yin; Song, Jian; Xiao, Yimin; Yuan, Wangjun 1 2023 On the intersection of dynamical covering sets with fractals. Zbl 1503.37005 Hu, Zhang-nan; Li, Bing; Xiao, Yimin 3 2022 Exact uniform modulus of continuity and Chung’s LIL for the generalized fractional Brownian motion. Zbl 1515.60101 Wang, Ran; Xiao, Yimin 2 2022 Lower functions and Chung’s LILs of the generalized fractional Brownian motion. Zbl 1489.60062 Wang, Ran; Xiao, Yimin 1 2022 Limit theorems for linear random fields with innovations in the domain of attraction of a stable law. Zbl 1494.60055 Peligrad, Magda; Sang, Hailin; Xiao, Yimin; Yang, Guangyu 1 2022 Multiple points of Gaussian random fields. Zbl 1480.60089 Dalang, Robert C.; Lee, Cheuk Yin; Mueller, Carl; Xiao, Yimin 4 2021 Maximal moments and uniform modulus of continuity for stable random fields. Zbl 1469.60166 Panigrahi, Snigdha; Roy, Parthanil; Xiao, Yimin 3 2021 On collision of multiple eigenvalues for matrix-valued Gaussian processes. Zbl 1510.60005 Song, Jian; Xiao, Yimin; Yuan, Wangjun 3 2021 Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension. Zbl 1489.60110 Dalang, Robert C.; Mueller, Carl; Xiao, Yimin 1 2021 Sharp space-time regularity of the solution to stochastic heat equation driven by fractional-colored noise. Zbl 1447.60064 Herrell, Randall; Song, Renming; Wu, Dongsheng; Xiao, Yimin 8 2020 Uniform dimension results for the inverse images of symmetric Lévy processes. Zbl 1459.60180 Park, Hyunchul; Xiao, Yimin; Yang, Xiaochuan 2 2020 Strong laws of large numbers for arrays of random variables and stable random fields. Zbl 1472.60057 Nane, Erkan; Xiao, Yimin; Zeleke, Aklilu 1 2020 The moduli of non-differentiability for Gaussian random fields with stationary increments. Zbl 1466.60104 Wang, Wensheng; Su, Zhonggen; Xiao, Yimin 1 2020 Multiple points of operator semistable Lévy processes. Zbl 1430.60044 Luks, Tomasz; Xiao, Yimin 1 2020 Wavelet series representation and geometric properties of harmonizable fractional stable sheets. Zbl 1490.60126 Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin 1 2020 Cramér type moderate deviations for random fields. Zbl 1418.60018 Beknazaryan, Aleksandr; Sang, Hailin; Xiao, Yimin 6 2019 Local nondeterminism and the exact modulus of continuity for stochastic wave equation. Zbl 1422.60058 Lee, Cheuk Yin; Xiao, Yimin 5 2019 Regularity properties of the solution to a stochastic heat equation driven by a fractional Gaussian noise on \(\mathbb{S}^2\). Zbl 1478.60187 Lan, Xiaohong; Xiao, Yimin 3 2019 On the favorite points of symmetric Lévy processes. Zbl 1468.60098 Li, Bo; Xiao, Yimin; Yang, Xiaochuan 1 2019 Wavelet thresholding in fixed design regression for Gaussian random fields. Zbl 1432.62099 Li, Linyuan; Lu, Kewei; Xiao, Yimin 1 2019 Sample paths properties of the set-indexed fractional Brownian motion. Zbl 1458.60046 Herbin, Erick; Xiao, Yimin 1 2019 Local times and Hausdorff dimensions of inverse images of Gaussian vector fields with space-anisotropy. Zbl 1499.60267 Chen, Zhenlong; Xiao, Yimin 1 2019 The Csörgő-Révész moduli of non-differentiability of fractional Brownian motion. Zbl 1458.60047 Wang, Wensheng; Xiao, Yimin 1 2019 A macroscopic multifractal analysis of parabolic stochastic PDEs. Zbl 1454.60095 Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin 11 2018 Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. Zbl 1390.60185 Lan, Xiaohong; Marinucci, Domenico; Xiao, Yimin 7 2018 Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405 Xiao, Y.; Shi, J. N.; Yang, Z. W. 6 2018 Exact moderate and large deviations for linear random fields. Zbl 1401.60047 Sang, Hailin; Xiao, Yimin 5 2018 Strong local nondeterminism of spherical fractional Brownian motion. Zbl 1392.60034 Lan, Xiaohong; Xiao, Yimin 5 2018 Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030 Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin 4 2018 Uniform dimension results for a family of Markov processes. Zbl 1407.60054 Sun, Xiaobin; Xiao, Yimin; Xu, Lihu; Zhai, Jianliang 3 2018 Joint asymptotics for estimating the fractal indices of bivariate Gaussian processes. Zbl 1397.62360 Zhou, Yuzhen; Xiao, Yimin 2 2018 Uniform Hausdorff dimension result for the inverse images of stable Lévy processes. Zbl 1398.60089 Song, Renming; Xiao, Yimin; Yang, Xiaochuan 1 2018 Intermittency and multifractality: a case study via parabolic stochastic PDEs. Zbl 1418.60081 Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin 30 2017 Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086 Tudor, Ciprian A.; Xiao, Yimin 24 2017 Polarity of points for Gaussian random fields. Zbl 1390.60135 Dalang, Robert C.; Mueller, Carl; Xiao, Yimin 14 2017 Hitting probabilities of random covering sets in tori and metric spaces. Zbl 1395.60014 Järvenpää, Esa; Järvenpää, Maarit; Koivusalo, Henna; Li, Bing; Suomala, Ville; Xiao, Yimin 11 2017 On the macroscopic fractal geometry of some random sets. Zbl 1409.60075 Khoshnevisan, Davar; Xiao, Yimin 8 2017 L-Kuramoto-Sivashinsky SPDEs vs. time-fractional SPIDEs: exact continuity and gradient moduli, 1/2-derivative criticality, and laws. Zbl 1454.60085 Allouba, Hassan; Xiao, Yimin 5 2017 Wavelet-based estimation of regression function with strong mixing errors under fixed design. Zbl 1369.62059 Li, Linyuan; Xiao, Yimin 4 2017 Tail asymptotics for the extremes of bivariate Gaussian random fields. Zbl 1392.60033 Zhou, Yuzhen; Xiao, Yimin 4 2017 On the double points of operator stable Lévy processes. Zbl 1364.60060 Luks, Tomasz; Xiao, Yimin 2 2017 Excursion probability of Gaussian random fields on sphere. Zbl 1337.60102 Cheng, Dan; Xiao, Yimin 29 2016 The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments. Zbl 1339.60055 Cheng, Dan; Xiao, Yimin 14 2016 Harmonizable fractional stable fields: local nondeterminism and joint continuity of the local times. Zbl 1329.60133 Ayache, Antoine; Xiao, Yimin 2 2016 Exact moduli of continuity for operator-scaling Gaussian random fields. Zbl 1322.60066 Li, Yuqiang; Wang, Wensheng; Xiao, Yimin 9 2015 Brownian motion and thermal capacity. Zbl 1305.60077 Khoshnevisan, Davar; Xiao, Yimin 5 2015 Smoothness of local times and self-intersection local times of Gaussian random fields. Zbl 1319.60155 Chen, Zhenlong; Wu, Dongsheng; Xiao, Yimin 3 2015 Packing dimensions of the images of Gaussian random fields. Zbl 1397.60086 Du, Yali; Miao, Junjie; Wu, Dongsheng; Xiao, Yimin 2 2015 Generalized dimensions of images of measures under Gaussian processes. Zbl 1292.60047 Falconer, Kenneth; Xiao, Yimin 4 2014 Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Zbl 1322.60069 Meerschaert, Mark M.; Wang, Wensheng; Xiao, Yimin 33 2013 Recent developments on fractal properties of Gaussian random fields. Zbl 1284.60101 Xiao, Yimin 23 2013 Fractal dimension results for continuous time random walks. Zbl 1401.60080 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 16 2013 Hitting probabilities of the random covering sets. Zbl 1321.60015 Li, Bing; Shieh, Narn-Rueih; Xiao, Yimin 10 2013 Tail estimation of the spectral density for a stationary Gaussian random field. Zbl 1277.62222 Wu, Wei-Ying; Lim, Chae Young; Xiao, Yimin 6 2013 Discrete fractal dimensions of the ranges of random walks in \(\mathbb Z^d\) associate with random conductances. Zbl 1294.60121 Xiao, Yimin; Zheng, Xinghua 2 2013 A class of fractional Brownian fields from branching systems and their regularity properties. Zbl 1281.60038 Li, Yuqiang; Xiao, Yimin 2 2013 Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields. Zbl 1261.60040 Luan, Nana; Xiao, Yimin 17 2012 On intersections of independent anisotropic Gaussian random fields. Zbl 1260.60099 Chen, ZhenLong; Xiao, YiMin 9 2012 Occupation time fluctuations of weakly degenerate branching systems. Zbl 1263.60077 Li, Yuqiang; Xiao, Yimin 8 2012 Packing dimension profiles and Lévy processes. Zbl 1266.60071 Khoshnevisan, D.; Schilling, R. L.; Xiao, Y. 7 2012 Critical Brownian sheet does not have double points. Zbl 1269.60053 Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulalia; Wu, Dongsheng; Xiao, Yimin 7 2012 {\(\alpha\)}-time fractional Brownian motion: PDE connections and local times. Zbl 1278.60074 Nane, Erkan; Wu, Dongsheng; Xiao, Yimin 3 2012 Multivariate operator-self-similar random fields. Zbl 1217.60040 Li, Yuqiang; Xiao, Yimin 29 2011 Fractal and smoothness properties of space-time Gaussian models. Zbl 1271.62216 Xue, Yun; Xiao, Yimin 18 2011 Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times. Zbl 1268.60048 Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin 16 2011 Properties of strong local nondeterminism and local times of stable random fields. Zbl 1261.60048 Xiao, Yimin 11 2011 On local times of anisotropic Gaussian random fields. Zbl 1331.60060 Wu, Dongsheng; Xiao, Yimin 8 2011 Packing dimension results for anisotropic Gaussian random fields. Zbl 1331.60057 Estrade, Anne; Wu, Dongsheng; Xiao, Yimin 6 2011 Regularity of intersection local times of fractional Brownian motions. Zbl 1217.60030 Wu, Dongsheng; Xiao, Yimin 21 2010 Hausdorff and packing dimensions of the images of random fields. Zbl 1227.60049 Shieh, Narn-Rueih; Xiao, Yimin 17 2010 Uniform modulus of continuity of random fields. Zbl 1181.60074 Xiao, Yimin 11 2010 Chung’s law of the iterated logarithm for anisotropic Gaussian random fields. Zbl 1210.60037 Luan, Nana; Xiao, Yimin 8 2010 A strong law of large numbers with applications to self-similar stable processes. Zbl 1274.60098 Nane, Erkan; Xiao, Yimin; Zeleke, Aklilu 5 2010 A note on block-thresholded wavelet estimators with correlated noise. Zbl 1190.62086 Li, Linyuan; Xiao, Yimin 1 2010 Sample path properties of anisotrophic Gaussian random fields. Zbl 1167.60011 Xiao, Yimin 70 2009 Correlated continuous time random walks. Zbl 1179.60024 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 28 2009 Harmonic analysis of additive Lévy processes. Zbl 1183.60019 Khoshnevisan, Davar; Xiao, Yimin 26 2009 Hitting probabilities and the Hausdorff dimension of the inverse images of anisotropic Gaussian random fields. Zbl 1165.60022 Biermé, Hermine; Lacaux, Céline; Xiao, Yimin 26 2009 Linear fractional stable sheets: Wavelet expansion and sample path properties. Zbl 1162.60324 Ayache, Antoine; Roueff, François; Xiao, Yimin 20 2009 Hölder properties of local times for fractional Brownian motions. Zbl 1433.60018 Baraka, D.; Mountford, T.; Xiao, Y. 8 2009 Continuity in the Hurst index of the local times of anisotropic Gaussian random fields. Zbl 1165.60320 Wu, Dongsheng; Xiao, Yimin 7 2009 Uniform dimension results for Gaussian random fields. Zbl 1205.60078 Wu, DongSheng; Xiao, YiMin 7 2009 A packing dimension theorem for Gaussian random fields. Zbl 1158.60018 Xiao, Yimin 6 2009 A note on the bound of wavelet interpolation and approximation in a Besov space. Zbl 1169.42318 Li, Linyuan; Xiao, Yimin 2 2009 Strong local nondeterminism and sample path properties of Gaussian random fields. Zbl 1269.60043 Xiao, Yimin 39 2008 Joint continuity of the local times of fractional Brownian sheets. Zbl 1180.60032 Ayache, Antoine; Wu, Dongsheng; Xiao, Yimin 30 2008 Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 17 2008 Local times of multifractional Brownian sheets. Zbl 1186.60036 Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin 16 2008 Packing dimension of the range of a Lévy process. Zbl 1151.60022 Khoshnevisan, Davar; Xiao, Yimin 9 2008 Packing-dimension profiles and fractional Brownian motion. Zbl 1152.28009 Khoshnevisan, Davar; Xiao, Yimin 8 2008 Hausdorff dimension of the contours of symmetric additive Lévy processes. Zbl 1139.60010 Khoshnevisan, Davar; Shieh, Narn-Rueih; Xiao, Yimin 4 2008 Sample path properties of bifractional Brownian motion. Zbl 1132.60034 Tudor, Ciprian A.; Xiao, Yimin 48 2007 Geometric properties of fractional Brownian sheets. Zbl 1127.60032 Wu, Dongsheng; Xiao, Yimin 37 2007 Images of the Brownian sheet. Zbl 1124.60037 Khoshnevisan, Davar; Xiao, Yimin 19 2007 On the minimax optimality of block thresholded wavelet estimators with long memory data. Zbl 1331.62220 Li, Linyuan; Xiao, Yimin 14 2007 Local and asymptotic properties of linear fractional stable sheets. Zbl 1112.60038 Ayache, Antoine; Roueff, François; Xiao, Yimin 9 2007 Joint continuity of the local times of linear fractional stable sheets. Zbl 1117.60042 Ayache, Antoine; Roueff, François; Xiao, Yimin 4 2007 Dimensional properties of fractional Brownian motion. Zbl 1121.60039 Wu, Dong Sheng; Xiao, Yi Min 4 2007 A note on absorption probabilities in one-dimensional random walk via complex-valued martingales. Zbl 1138.60036 Gilliland, Dennis; Levental, Shlomo; Xiao, Yimin 3 2007 ...and 41 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 759 Authors 92 Xiao, Yimin 24 Chen, Zhenlong 23 Nane, Erkan 22 Khoshnevisan, Davar 19 Ayache, Antoine 17 Wu, Dongsheng 17 Yan, Litan 16 Ma, Chunsheng 16 Meerschaert, Mark Marvin 13 Wang, Wensheng 12 Lin, Zhengyan 11 Tudor, Ciprian A. 10 Nualart, David 10 Shen, Guangjun 10 Shieh, Narn-Rueih 9 Falconer, Kenneth J. 8 Dalang, Robert C. 8 Hashorva, Enkelejd 8 Kim, Kunwoo 8 Li, Yuqiang 8 Song, Jian 7 Balan, Raluca M. 7 Didier, Gustavo 7 Herbin, Erick 7 Lee, Cheuk-Yin 7 Leonenko, Nikolai N. 7 Li, Ming 7 Magdziarz, Marcin 7 Wang, Yizao 7 Yang, Xiaochuan 7 Yu, Qian 6 Biermé, Hermine 6 Chen, Xia 6 Dębicki, Krzysztof 6 Guerbaz, Raby 6 Hu, Yaozhong 6 Järvenpää, Maarit 6 Mörters, Peter 6 Sanz-Solé, Marta 5 Becker-Kern, Peter 5 Cheng, Dan 5 Cheng, Zongmao 5 Foondun, Mohammud 5 Hinz, Michael 5 Hu, Xiaoyu 5 Järvenpää, Esa 5 Ji, Lanpeng 5 Li, Bing 5 Liu, Peng 5 Marinucci, Domenico 5 Mijena, Jebessa B. 5 Mountford, Thomas S. 5 Seuret, Stéphane 5 Sun, Xichao 5 Zhou, Xingcai 4 Abry, Patrice 4 Boufoussi, Brahim 4 Chen, Chao 4 Chong, Carsten 4 D’Ovidio, Mirko 4 Hu, Zhang-nan 4 Jaffard, Stéphane 4 Jin, Xiong 4 Jung, Paul H. 4 Kevei, Péter 4 Li, Linyuan 4 Liu, Junfeng 4 Lu, Tianshi 4 Luan, Nana 4 Markowsky, Greg T. 4 Mukeru, Safari 4 Müller, Carl E. 4 Nguyen Huy Tuan 4 Nualart, Eulalia 4 Richard, Alexandre 4 Roueff, François 4 Sang, Hailin 4 Schilling, René Leander 4 Sghir, Aissa 4 Sikorskii, Alla 4 Yuan, Wangjun 4 Zhang, Rongmao 4 Zhu, Dongjin 3 Baudoin, Fabrice 3 Beran, Jan 3 Bouly, Florent 3 Cammarota, Valentina 3 Chen, Le 3 Chesneau, Christophe 3 Clausel, Marianne 3 da Silva, José Luís 3 Daw, Lara 3 Durieu, Olivier 3 Ekström, Fredrik 3 Fan, Xiequan 3 Fan, Xiliang 3 Fraser, Jonathan MacDonald 3 Hamonier, Julien 3 Hinojosa-Calleja, Adrián 3 Hou, Yanyan ...and 659 more Authors all top 5 Cited in 170 Serials 68 Stochastic Processes and their Applications 63 Statistics & Probability Letters 46 Journal of Theoretical Probability 29 The Annals of Probability 25 Bernoulli 21 Journal of Mathematical Analysis and Applications 17 Electronic Journal of Probability 15 Stochastics 14 Stochastic Analysis and Applications 12 Acta Mathematica Sinica. 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Serie Quarta 1 The Annals of Statistics 1 BIT ...and 70 more Serials all top 5 Cited in 42 Fields 640 Probability theory and stochastic processes (60-XX) 123 Measure and integration (28-XX) 86 Statistics (62-XX) 72 Partial differential equations (35-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 24 Statistical mechanics, structure of matter (82-XX) 22 Real functions (26-XX) 20 Numerical analysis (65-XX) 16 Dynamical systems and ergodic theory (37-XX) 9 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 8 Number theory (11-XX) 7 Potential theory (31-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year