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## Xiao, Yimin

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 Author ID: xiao.yimin Published as: Xiao, Y.; Xiao, Y. M.; Xiao, Yi Min; Xiao, Yi-Min; Xiao, YiMin; Xiao, Yimin Homepage: http://www.stt.msu.edu/~xiaoyimi External Links: MGP · Math-Net.Ru · dblp
 Documents Indexed: 148 Publications since 1988 Reviewing Activity: 137 Reviews
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#### Co-Authors

 36 single-authored 21 Khoshnevisan, Davar 16 Wu, Dongsheng 7 Ayache, Antoine 7 Li, Linyuan 7 Meerschaert, Mark M. 6 Nane, Erkan 6 Shieh, Narn-Rueih 4 Li, Yuqiang 3 Lan, Xiaohong 3 Liu, Luqin 3 Roueff, François 3 Wang, Wensheng 3 Yang, Xiaochuan 3 Zhong, Yuquan 2 Chen, Zhenlong 2 Cheng, Dan 2 Dalang, Robert C. 2 Falconer, Kenneth J. 2 Kim, Kunwoo 2 Li, Bing 2 Luan, Nana 2 Luks, Tomasz 2 Sang, Hailin 2 Song, Renming 2 Su, Zhonggen 2 Tudor, Ciprian A. 2 Wang, Wensheng 2 Wu, Jun 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 Du, Yali 1 Estrade, Anne 1 Gilliland, Dennis C. 1 Herbin, Erick 1 Herrell, Randall 1 Hu, Dihe 1 Järvenpää, Esa 1 Järvenpää, Maarit 1 Koivusalo, Henna 1 Lacaux, Céline 1 Lee, Cheuk-Yin 1 Levental, Shlomo 1 Li, Bo 1 Lim, Chae Young 1 Lin, Huonan 1 Lu, Kewei 1 Marinucci, Domenico 1 Miao, Junjie 1 Mountford, Thomas S. 1 Müller, Carl E. 1 Nualart, Eulalia 1 Panigrahi, Snigdha 1 Park, Hyunchul 1 Peres, Yuval 1 Roy, Parthanil 1 Safikhani, Abolfazl 1 Schilling, René Leander 1 Sun, Xiaobin 1 Suomala, Ville 1 Talagrand, Michel 1 Wu, Jun 1 Wu, Wei-Ying 1 Xu, Lihu 1 Xue, Yun 1 Zhai, Jianliang 1 Zhang, Tusheng S. 1 Zhao, Xingqiu 1 Zheng, Xinghua
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#### Serials

 10 Journal of Theoretical Probability 10 Stochastic Processes and their Applications 9 Statistics & Probability Letters 8 The Annals of Probability 8 Bernoulli 6 Probability Theory and Related Fields 5 Journal of Mathematics. Wuhan University 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Chinese Annals of Mathematics. Series A 4 Electronic Journal of Probability 4 The Journal of Fourier Analysis and Applications 3 Journal of Mathematical Analysis and Applications 3 Acta Scientiarum Mathematicarum 3 Transactions of the American Mathematical Society 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 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 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 Stochastics and Dynamics 1 Current Development in Theory and Applications of Wavelets 1 Science China. Mathematics
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#### Fields

 133 Probability theory and stochastic processes (60-XX) 47 Measure and integration (28-XX) 14 Statistics (62-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 4 Partial differential equations (35-XX) 3 Abstract harmonic analysis (43-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX)

#### Citations contained in zbMATH Open

121 Publications have been cited 1,200 times in 541 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
1997
Sample path properties of anisotrophic Gaussian random fields. Zbl 1167.60011
Xiao, Yimin
2009
Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets. Zbl 1088.60033
Ayache, Antoine; Xiao, Yimin
2005
Sample path properties of bifractional Brownian motion. Zbl 1132.60034
Tudor, Ciprian A.; Xiao, Yimin
2007
Local times of fractional Brownian sheets. Zbl 1009.60024
Xiao, Yimin; Zhang, Tusheng
2002
Random fractals and Markov processes. Zbl 1068.60092
Xiao, Yimin
2004
Strong local nondeterminism and sample path properties of Gaussian random fields. Zbl 1269.60043
Xiao, Yimin
2008
Limsup random fractals. Zbl 0949.60025
Khoshnevisan, Davar; Peres, Yuval; Xiao, Yimin
2000
Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Zbl 1322.60069
Meerschaert, Mark M.; Wang, Wensheng; Xiao, Yimin
2013
Geometric properties of fractional Brownian sheets. Zbl 1127.60032
Wu, Dongsheng; Xiao, Yimin
2007
Lévy processes: capacity and Hausdorff dimension. Zbl 1072.60040
Khoshnevisan, Davar; Xiao, Yimin
2005
Correlated continuous time random walks. Zbl 1179.60024
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2009
Measuring the range of an additive Lévy process. Zbl 1039.60048
Khoshnevisan, Davar; Xiao, Yimin; Zhong, Yuquan
2003
Excursion probability of Gaussian random fields on sphere. Zbl 1337.60102
Cheng, Dan; Xiao, Yimin
2016
Multivariate operator-self-similar random fields. Zbl 1217.60040
Li, Yuqiang; Xiao, Yimin
2011
Properties of local-nondeterminism of Gaussian and stable random fields and their applications. Zbl 1128.60041
Xiao, Yimin
2006
Level sets of additive Lévy processes. Zbl 1019.60049
Khoshnevisan, Davar; Xiao, Yimin
2002
Fractal and smoothness properties of space-time Gaussian models. Zbl 1271.62216
Xue, Yun; Xiao, Yimin
2011
Harmonic analysis of additive Lévy processes. Zbl 1183.60019
Khoshnevisan, Davar; Xiao, Yimin
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
2009
Joint continuity of the local times of fractional Brownian sheets. Zbl 1180.60032
Ayache, Antoine; Wu, Dongsheng; Xiao, Yimin
2008
Local times of additive Lévy processes. Zbl 1075.60520
Khoshnevisan, Davar; Xiao, Yimin; Zhong, Yuquan
2003
Regularity of intersection local times of fractional Brownian motions. Zbl 1217.60030
Wu, Dongsheng; Xiao, Yimin
2010
Local times and related properties of multidimensional iterated Brownian motion. Zbl 0914.60063
Xiao, Yimin
1998
Recent developments on fractal properties of Gaussian random fields. Zbl 1284.60101
Xiao, Yimin
2013
Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times. Zbl 1268.60048
Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin
2011
Linear fractional stable sheets: Wavelet expansion and sample path properties. Zbl 1162.60324
Ayache, Antoine; Roueff, François; Xiao, Yimin
2009
Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2008
Dimension results for Gaussian vector fields and index-$$\alpha$$ stable fields. Zbl 0834.60040
Xiao, Yimin
1995
Local times of multifractional Brownian sheets. Zbl 1186.60036
Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin
2008
Images of the Brownian sheet. Zbl 1124.60037
Khoshnevisan, Davar; Xiao, Yimin
2007
Dimension results for sample paths of operator stable Lévy processes. Zbl 1074.60079
Meerschaert, Mark M.; Xiao, Yimin
2005
Packing dimension of the image of fractional Brownian motion. Zbl 0903.60073
Xiao, Yimin
1997
Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields. Zbl 1261.60040
Luan, Nana; Xiao, Yimin
2012
Hausdorff and packing dimensions of the images of random fields. Zbl 1227.60049
Shieh, Narn-Rueih; Xiao, Yimin
2010
Hitting probabilities and polar sets for fractional Brownian motion. Zbl 0928.60027
Xiao, Yimin
1999
Hausdorff measure of the graph of fractional Brownian motion. Zbl 0897.60043
Xiao, Yimin
1997
Fractal dimension results for continuous time random walks. Zbl 1401.60080
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2013
Intermittency and multifractality: a case study via parabolic stochastic PDEs. Zbl 1418.60081
Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin
2017
The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments. Zbl 1339.60055
Cheng, Dan; Xiao, Yimin
2016
On the minimax optimality of block thresholded wavelet estimators with long memory data. Zbl 1331.62220
Li, Linyuan; Xiao, Yimin
2007
Weak unimodality of finite measures, and an application to potential theory of additive Lévy processes. Zbl 1012.60053
Khoshnevisan, Davar; Xiao, Yimin
2003
Hausdorff measure of the sample paths of Gaussian random fields. Zbl 0872.60030
Xiao, Yimin
1996
Fractional Brownian motion and packing dimension. Zbl 0860.60064
Talagrand, Michel; Xiao, Yimin
1996
Uniform modulus of continuity of random fields. Zbl 1181.60074
Xiao, Yimin
2010
Sectorial local non-determinism and the geometry of the Brownian sheet. Zbl 1111.60020
Xiao, Yimin; Khoshnevisan, Davar; Wu, Dongsheng
2006
Dimension properties of sample paths of self-similar processes. Zbl 0813.60042
Xiao, Yimin; Lin, Huonan
1994
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
2017
Occupation time fluctuations of weakly degenerate branching systems. Zbl 1263.60077
Li, Yuqiang; Xiao, Yimin
2012
Packing dimension of the range of a Lévy process. Zbl 1151.60022
Khoshnevisan, Davar; Xiao, Yimin
2008
Exact moduli of continuity for operator-scaling Gaussian random fields. Zbl 1322.60066
Li, Yuqiang; Wang, Wensheng; Xiao, Yimin
2015
Properties of strong local nondeterminism and local times of stable random fields. Zbl 1261.60048
Xiao, Yimin
2011
Packing-dimension profiles and fractional Brownian motion. Zbl 1152.28009
Khoshnevisan, Davar; Xiao, Yimin
2008
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
2017
On intersections of independent anisotropic Gaussian random fields. Zbl 1260.60099
Chen, ZhenLong; Xiao, YiMin
2012
Packing dimension profiles and Lévy processes. Zbl 1266.60071
Khoshnevisan, D.; Schilling, R. L.; Xiao, Y.
2012
Chung’s law of the iterated logarithm for anisotropic Gaussian random fields. Zbl 1210.60037
Luan, Nana; Xiao, Yimin
2010
Hölder properties of local times for fractional Brownian motions. Zbl 1433.60018
Baraka, D.; Mountford, T.; Xiao, Y.
2009
Local and asymptotic properties of linear fractional stable sheets. Zbl 1112.60038
Ayache, Antoine; Roueff, François; Xiao, Yimin
2007
Fractal properties of the random string processes. Zbl 1120.60040
Wu, Dongsheng; Xiao, Yimin
2006
Images of Gaussian random fields: Salem sets and interior points. Zbl 1105.60023
Shieh, Narn-Rueih; Xiao, Yimin
2006
Packing dimension, Hausdorff dimension and Cartesian product sets. Zbl 0864.28001
Xiao, Yimin
1996
Hitting probabilities of the random covering sets. Zbl 1321.60015
Li, Bing; Shieh, Narn-Rueih; Xiao, Yimin
2013
Packing dimension results for anisotropic Gaussian random fields. Zbl 1331.60057
Estrade, Anne; Wu, Dongsheng; Xiao, Yimin
2011
On local times of anisotropic Gaussian random fields. Zbl 1331.60060
Wu, Dongsheng; Xiao, Yimin
2011
A strong law of large numbers with applications to self-similar stable processes. Zbl 1274.60098
Nane, Erkan; Xiao, Yimin; Zeleke, Aklilu
2010
A packing dimension theorem for Gaussian random fields. Zbl 1158.60018
Xiao, Yimin
2009
Additive Lévy processes: capacity and Hausdorff dimension. Zbl 1065.60101
Khoshnevisan, Davar; Xiao, Yimin
2004
Hausdorff dimension theorems for self-similar Markov processes. Zbl 0985.60075
Liu, Luqin; Xiao, Yimin
1998
Asymptotic results for self-similar Markov processes. Zbl 0936.60060
Xiao, Yimin
1998
Polarity of points for Gaussian random fields. Zbl 1390.60135
Dalang, Robert C.; Mueller, Carl; Xiao, Yimin
2017
Tail asymptotics for the extremes of bivariate Gaussian random fields. Zbl 1392.60033
Zhou, Yuzhen; Xiao, Yimin
2017
Brownian motion and thermal capacity. Zbl 1305.60077
Khoshnevisan, Davar; Xiao, Yimin
2015
Tail estimation of the spectral density for a stationary Gaussian random field. Zbl 1277.62222
Wu, Wei-Ying; Lim, Chae Young; Xiao, Yimin
2013
Critical Brownian sheet does not have double points. Zbl 1269.60053
Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulalia; Wu, Dongsheng; Xiao, Yimin
2012
Uniform dimension results for Gaussian random fields. Zbl 1205.60078
Wu, DongSheng; Xiao, YiMin
2009
Hausdorff dimension of the contours of symmetric additive Lévy processes. Zbl 1139.60010
Khoshnevisan, Davar; Shieh, Narn-Rueih; Xiao, Yimin
2008
Wavelet-based estimators of mean regression function with long memory data. Zbl 1099.62041
Li, Lin-Yuan; Xiao, Yi-Min
2006
The packing measure of the trajectories of multiparameter fractional Brownian motion. Zbl 1041.60039
Xiao, Yimin
2003
Hausdorff-type measures of the sample paths of fractional Brownian motion. Zbl 0937.60076
Xiao, Yimin
1998
Packing measure of the sample paths of fractional Brownian motion. Zbl 0858.60039
Xiao, Yimin
1996
A macroscopic multifractal analysis of parabolic stochastic PDEs. Zbl 1454.60095
Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin
2018
Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405
Xiao, Y.; Shi, J. N.; Yang, Z. W.
2018
Uniform dimension results for a family of Markov processes. Zbl 1407.60054
Sun, Xiaobin; Xiao, Yimin; Xu, Lihu; Zhai, Jianliang
2018
Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. Zbl 1390.60185
Lan, Xiaohong; Marinucci, Domenico; Xiao, Yimin
2018
On the macroscopic fractal geometry of some random sets. Zbl 1409.60075
Khoshnevisan, Davar; Xiao, Yimin
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
2017
Generalized dimensions of images of measures under Gaussian processes. Zbl 1292.60047
Falconer, Kenneth; Xiao, Yimin
2014
Mean integrated squared error of nonlinear wavelet-based estimators with long memory data. Zbl 1332.62134
Li, Linyuan; Xiao, Yimin
2007
Dimensional properties of fractional Brownian motion. Zbl 1121.60039
Wu, Dong Sheng; Xiao, Yi Min
2007
Exact moderate and large deviations for linear random fields. Zbl 1401.60047
Sang, Hailin; Xiao, Yimin
2018
Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030
Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin
2018
A class of fractional Brownian fields from branching systems and their regularity properties. Zbl 1281.60038
Li, Yuqiang; Xiao, Yimin
2013
$$\alpha$$-time fractional Brownian motion: PDE connections and local times. Zbl 1278.60074
Nane, Erkan; Wu, Dongsheng; Xiao, Yimin
2012
A note on the bound of wavelet interpolation and approximation in a Besov space. Zbl 1169.42318
Li, Linyuan; Xiao, Yimin
2009
Continuity in the Hurst index of the local times of anisotropic Gaussian random fields. Zbl 1165.60320
Wu, Dongsheng; Xiao, Yimin
2009
Joint continuity of the local times of linear fractional stable sheets. Zbl 1117.60042
Ayache, Antoine; Roueff, François; Xiao, Yimin
2007
Images and level sets of additive random walks. Zbl 0969.60052
Khoshnevisan, Davar; Xiao, Yimin
2000
Average densities of the image and zero set of stable processes. Zbl 0819.60038
Falconer, K. J.; Xiao, Y. M.
1995
Uniform dimension results for the inverse images of symmetric Lévy processes. Zbl 1459.60180
Park, Hyunchul; Xiao, Yimin; Yang, Xiaochuan
2020
Uniform dimension results for the inverse images of symmetric Lévy processes. Zbl 1459.60180
Park, Hyunchul; Xiao, Yimin; Yang, Xiaochuan
2020
On the favorite points of symmetric Lévy processes. Zbl 07120205
Li, Bo; Xiao, Yimin; Yang, Xiaochuan
2019
The Csörgő-Révész moduli of non-differentiability of fractional Brownian motion. Zbl 1458.60047
Wang, Wensheng; Xiao, Yimin
2019
Cramér type moderate deviations for random fields. Zbl 1418.60018
Beknazaryan, Aleksandr; Sang, Hailin; Xiao, Yimin
2019
Regularity properties of the solution to a stochastic heat equation driven by a fractional Gaussian noise on $$\mathbb{S}^2$$. Zbl 07053200
Lan, Xiaohong; Xiao, Yimin
2019
A macroscopic multifractal analysis of parabolic stochastic PDEs. Zbl 1454.60095
Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin
2018
Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405
Xiao, Y.; Shi, J. N.; Yang, Z. W.
2018
Uniform dimension results for a family of Markov processes. Zbl 1407.60054
Sun, Xiaobin; Xiao, Yimin; Xu, Lihu; Zhai, Jianliang
2018
Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. Zbl 1390.60185
Lan, Xiaohong; Marinucci, Domenico; Xiao, Yimin
2018
Exact moderate and large deviations for linear random fields. Zbl 1401.60047
Sang, Hailin; Xiao, Yimin
2018
Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030
Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin
2018
Uniform Hausdorff dimension result for the inverse images of stable Lévy processes. Zbl 1398.60089
Song, Renming; Xiao, Yimin; Yang, Xiaochuan
2018
Strong local nondeterminism of spherical fractional Brownian motion. Zbl 1392.60034
Lan, Xiaohong; Xiao, Yimin
2018
Joint asymptotics for estimating the fractal indices of bivariate Gaussian processes. Zbl 1397.62360
Zhou, Yuzhen; Xiao, Yimin
2018
Intermittency and multifractality: a case study via parabolic stochastic PDEs. Zbl 1418.60081
Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin
2017
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
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
2017
Polarity of points for Gaussian random fields. Zbl 1390.60135
Dalang, Robert C.; Mueller, Carl; Xiao, Yimin
2017
Tail asymptotics for the extremes of bivariate Gaussian random fields. Zbl 1392.60033
Zhou, Yuzhen; Xiao, Yimin
2017
On the macroscopic fractal geometry of some random sets. Zbl 1409.60075
Khoshnevisan, Davar; Xiao, Yimin
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
2017
Wavelet-based estimation of regression function with strong mixing errors under fixed design. Zbl 1369.62059
Li, Linyuan; Xiao, Yimin
2017
On the double points of operator stable Lévy processes. Zbl 1364.60060
Luks, Tomasz; Xiao, Yimin
2017
Excursion probability of Gaussian random fields on sphere. Zbl 1337.60102
Cheng, Dan; Xiao, Yimin
2016
The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments. Zbl 1339.60055
Cheng, Dan; Xiao, Yimin
2016
Harmonizable fractional stable fields: local nondeterminism and joint continuity of the local times. Zbl 1329.60133
Ayache, Antoine; Xiao, Yimin
2016
Exact moduli of continuity for operator-scaling Gaussian random fields. Zbl 1322.60066
Li, Yuqiang; Wang, Wensheng; Xiao, Yimin
2015
Brownian motion and thermal capacity. Zbl 1305.60077
Khoshnevisan, Davar; Xiao, Yimin
2015
Packing dimensions of the images of Gaussian random fields. Zbl 1397.60086
Du, Yali; Miao, Junjie; Wu, Dongsheng; Xiao, Yimin
2015
Smoothness of local times and self-intersection local times of Gaussian random fields. Zbl 1319.60155
Chen, Zhenlong; Wu, Dongsheng; Xiao, Yimin
2015
Generalized dimensions of images of measures under Gaussian processes. Zbl 1292.60047
Falconer, Kenneth; Xiao, Yimin
2014
Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Zbl 1322.60069
Meerschaert, Mark M.; Wang, Wensheng; Xiao, Yimin
2013
Recent developments on fractal properties of Gaussian random fields. Zbl 1284.60101
Xiao, Yimin
2013
Fractal dimension results for continuous time random walks. Zbl 1401.60080
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2013
Hitting probabilities of the random covering sets. Zbl 1321.60015
Li, Bing; Shieh, Narn-Rueih; Xiao, Yimin
2013
Tail estimation of the spectral density for a stationary Gaussian random field. Zbl 1277.62222
Wu, Wei-Ying; Lim, Chae Young; Xiao, Yimin
2013
A class of fractional Brownian fields from branching systems and their regularity properties. Zbl 1281.60038
Li, Yuqiang; Xiao, Yimin
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
2013
Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields. Zbl 1261.60040
Luan, Nana; Xiao, Yimin
2012
Occupation time fluctuations of weakly degenerate branching systems. Zbl 1263.60077
Li, Yuqiang; Xiao, Yimin
2012
On intersections of independent anisotropic Gaussian random fields. Zbl 1260.60099
Chen, ZhenLong; Xiao, YiMin
2012
Packing dimension profiles and Lévy processes. Zbl 1266.60071
Khoshnevisan, D.; Schilling, R. L.; Xiao, Y.
2012
Critical Brownian sheet does not have double points. Zbl 1269.60053
Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulalia; Wu, Dongsheng; Xiao, Yimin
2012
$$\alpha$$-time fractional Brownian motion: PDE connections and local times. Zbl 1278.60074
Nane, Erkan; Wu, Dongsheng; Xiao, Yimin
2012
Multivariate operator-self-similar random fields. Zbl 1217.60040
Li, Yuqiang; Xiao, Yimin
2011
Fractal and smoothness properties of space-time Gaussian models. Zbl 1271.62216
Xue, Yun; Xiao, Yimin
2011
Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times. Zbl 1268.60048
Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin
2011
Properties of strong local nondeterminism and local times of stable random fields. Zbl 1261.60048
Xiao, Yimin
2011
Packing dimension results for anisotropic Gaussian random fields. Zbl 1331.60057
Estrade, Anne; Wu, Dongsheng; Xiao, Yimin
2011
On local times of anisotropic Gaussian random fields. Zbl 1331.60060
Wu, Dongsheng; Xiao, Yimin
2011
Regularity of intersection local times of fractional Brownian motions. Zbl 1217.60030
Wu, Dongsheng; Xiao, Yimin
2010
Hausdorff and packing dimensions of the images of random fields. Zbl 1227.60049
Shieh, Narn-Rueih; Xiao, Yimin
2010
Uniform modulus of continuity of random fields. Zbl 1181.60074
Xiao, Yimin
2010
Chung’s law of the iterated logarithm for anisotropic Gaussian random fields. Zbl 1210.60037
Luan, Nana; Xiao, Yimin
2010
A strong law of large numbers with applications to self-similar stable processes. Zbl 1274.60098
Nane, Erkan; Xiao, Yimin; Zeleke, Aklilu
2010
Sample path properties of anisotrophic Gaussian random fields. Zbl 1167.60011
Xiao, Yimin
2009
Correlated continuous time random walks. Zbl 1179.60024
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2009
Harmonic analysis of additive Lévy processes. Zbl 1183.60019
Khoshnevisan, Davar; Xiao, Yimin
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
2009
Linear fractional stable sheets: Wavelet expansion and sample path properties. Zbl 1162.60324
Ayache, Antoine; Roueff, François; Xiao, Yimin
2009
Hölder properties of local times for fractional Brownian motions. Zbl 1433.60018
Baraka, D.; Mountford, T.; Xiao, Y.
2009
A packing dimension theorem for Gaussian random fields. Zbl 1158.60018
Xiao, Yimin
2009
Uniform dimension results for Gaussian random fields. Zbl 1205.60078
Wu, DongSheng; Xiao, YiMin
2009
A note on the bound of wavelet interpolation and approximation in a Besov space. Zbl 1169.42318
Li, Linyuan; Xiao, Yimin
2009
Continuity in the Hurst index of the local times of anisotropic Gaussian random fields. Zbl 1165.60320
Wu, Dongsheng; Xiao, Yimin
2009
Strong local nondeterminism and sample path properties of Gaussian random fields. Zbl 1269.60043
Xiao, Yimin
2008
Joint continuity of the local times of fractional Brownian sheets. Zbl 1180.60032
Ayache, Antoine; Wu, Dongsheng; Xiao, Yimin
2008
Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2008
Local times of multifractional Brownian sheets. Zbl 1186.60036
Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin
2008
Packing dimension of the range of a Lévy process. Zbl 1151.60022
Khoshnevisan, Davar; Xiao, Yimin
2008
Packing-dimension profiles and fractional Brownian motion. Zbl 1152.28009
Khoshnevisan, Davar; Xiao, Yimin
2008
Hausdorff dimension of the contours of symmetric additive Lévy processes. Zbl 1139.60010
Khoshnevisan, Davar; Shieh, Narn-Rueih; Xiao, Yimin
2008
Sample path properties of bifractional Brownian motion. Zbl 1132.60034
Tudor, Ciprian A.; Xiao, Yimin
2007
Geometric properties of fractional Brownian sheets. Zbl 1127.60032
Wu, Dongsheng; Xiao, Yimin
2007
Images of the Brownian sheet. Zbl 1124.60037
Khoshnevisan, Davar; Xiao, Yimin
2007
On the minimax optimality of block thresholded wavelet estimators with long memory data. Zbl 1331.62220
Li, Linyuan; Xiao, Yimin
2007
Local and asymptotic properties of linear fractional stable sheets. Zbl 1112.60038
Ayache, Antoine; Roueff, François; Xiao, Yimin
2007
Mean integrated squared error of nonlinear wavelet-based estimators with long memory data. Zbl 1332.62134
Li, Linyuan; Xiao, Yimin
2007
Dimensional properties of fractional Brownian motion. Zbl 1121.60039
Wu, Dong Sheng; Xiao, Yi Min
2007
Joint continuity of the local times of linear fractional stable sheets. Zbl 1117.60042
Ayache, Antoine; Roueff, François; Xiao, Yimin
2007
A note on absorption probabilities in one-dimensional random walk via complex-valued martingales. Zbl 1138.60036
Gilliland, Dennis; Levental, Shlomo; Xiao, Yimin
2007
Properties of local-nondeterminism of Gaussian and stable random fields and their applications. Zbl 1128.60041
Xiao, Yimin
2006
Sectorial local non-determinism and the geometry of the Brownian sheet. Zbl 1111.60020
Xiao, Yimin; Khoshnevisan, Davar; Wu, Dongsheng
2006
Fractal properties of the random string processes. Zbl 1120.60040
Wu, Dongsheng; Xiao, Yimin
2006
Images of Gaussian random fields: Salem sets and interior points. Zbl 1105.60023
Shieh, Narn-Rueih; Xiao, Yimin
2006
Wavelet-based estimators of mean regression function with long memory data. Zbl 1099.62041
Li, Lin-Yuan; Xiao, Yi-Min
2006
Natural boundary of random Dirichlet series. Zbl 1119.60032
Ding, Xiaoqing; Xiao, Yimin
2006
Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets. Zbl 1088.60033
Ayache, Antoine; Xiao, Yimin
2005
Lévy processes: capacity and Hausdorff dimension. Zbl 1072.60040
Khoshnevisan, Davar; Xiao, Yimin
2005
Dimension results for sample paths of operator stable Lévy processes. Zbl 1074.60079
Meerschaert, Mark M.; Xiao, Yimin
2005
Random fractals and Markov processes. Zbl 1068.60092
Xiao, Yimin
2004
Additive Lévy processes: capacity and Hausdorff dimension. Zbl 1065.60101
Khoshnevisan, Davar; Xiao, Yimin
2004
Measuring the range of an additive Lévy process. Zbl 1039.60048
Khoshnevisan, Davar; Xiao, Yimin; Zhong, Yuquan
2003
Local times of additive Lévy processes. Zbl 1075.60520
Khoshnevisan, Davar; Xiao, Yimin; Zhong, Yuquan
2003
Weak unimodality of finite measures, and an application to potential theory of additive Lévy processes. Zbl 1012.60053
Khoshnevisan, Davar; Xiao, Yimin
2003
The packing measure of the trajectories of multiparameter fractional Brownian motion. Zbl 1041.60039
Xiao, Yimin
2003
Local times of fractional Brownian sheets. Zbl 1009.60024
Xiao, Yimin; Zhang, Tusheng
2002
Level sets of additive Lévy processes. Zbl 1019.60049
Khoshnevisan, Davar; Xiao, Yimin
2002
Limsup random fractals. Zbl 0949.60025
Khoshnevisan, Davar; Peres, Yuval; Xiao, Yimin
2000
Images and level sets of additive random walks. Zbl 0969.60052
Khoshnevisan, Davar; Xiao, Yimin
2000
...and 21 more Documents
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#### Cited by 575 Authors

 76 Xiao, Yimin 22 Nane, Erkan 20 Khoshnevisan, Davar 19 Chen, Zhenlong 16 Meerschaert, Mark M. 15 Wu, Dongsheng 14 Ayache, Antoine 13 Ma, Chunsheng 13 Yan, Litan 12 Lin, Zhengyan 9 Nualart, David 9 Shen, Guangjun 9 Tudor, Ciprian A. 8 Li, Yuqiang 8 Magdziarz, Marcin 8 Shieh, Narn-Rueih 7 Didier, Gustavo 7 Hashorva, Enkelejd 7 Mörters, Peter 6 Biermé, Hermine 6 Chen, Xia 6 Cheng, Dan 6 Guerbaz, Raby 6 Herbin, Erick 6 Hu, Yaozhong 6 Leonenko, Nikolai N. 6 Wang, Yizao 6 Yang, Xiaochuan 5 Cheng, Zongmao 5 Dalang, Robert C. 5 Dębicki, Krzysztof 5 Falconer, Kenneth J. 5 Hu, Xiaoyu 5 Järvenpää, Maarit 5 Ji, Lanpeng 5 Liu, Peng 5 Scheffler, Hans-Peter 5 Wang, Wensheng 5 Wang, Wensheng 4 Ait Ouahra, Mohamed 4 Balan, Raluca M. 4 Chen, Chao 4 Järvenpää, Esa 4 Jin, Xiong 4 Jung, Paul H. 4 Kim, Kunwoo 4 Luan, Nana 4 Marinucci, Domenico 4 Mijena, Jebessa B. 4 Mountford, Thomas S. 4 Nualart, Eulalia 4 Roueff, François 4 Sikorskii, Alla 4 Xu, Fangjun 4 Yu, Qian 4 Zhang, Rongmao 4 Zhu, Dongjin 3 Abry, Patrice 3 Baudoin, Fabrice 3 Becker-Kern, Peter 3 Beran, Jan 3 Chesneau, Christophe 3 Clausel, Marianne 3 D’Ovidio, Mirko 3 Ekström, Fredrik 3 Foondun, Mohammud 3 Hamonier, Julien 3 Hinz, Michael 3 Hou, Yanyan 3 Jaffard, Stéphane 3 Kong, LingTao 3 Lacaux, Céline 3 Lan, Xiaohong 3 Li, Linyuan 3 Lin, Huonan 3 Lin, Jinguan 3 Liu, Junfeng 3 Liu, Luqin 3 Markowsky, Greg T. 3 Mukeru, Safari 3 Ni, Wenqing 3 Papić, I. 3 Peres, Yuval 3 Pipiras, Vladas 3 Richard, Alexandre 3 Sanz-Solé, Marta 3 Schilling, René Leander 3 Seuret, Stéphane 3 Suomala, Ville 3 Šuvak, Nenad 3 Talarczyk, Anna 3 Zhong, Yuquan 3 Zhou, Xingcai 2 Adler, Robert Joseph 2 Adu, N. 2 Allouba, Hassan 2 Altman, Eitan 2 Arras, Benjamin 2 Asogwa, Sunday A. 2 Bai, Long ...and 475 more Authors
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#### Cited in 140 Serials

 56 Statistics & Probability Letters 53 Stochastic Processes and their Applications 34 Journal of Theoretical Probability 25 The Annals of Probability 18 Bernoulli 17 Journal of Mathematical Analysis and Applications 10 Stochastic Analysis and Applications 10 Acta Mathematica Sinica. English Series 9 Transactions of the American Mathematical Society 8 Probability Theory and Related Fields 7 Proceedings of the American Mathematical Society 7 Acta Mathematicae Applicatae Sinica. English Series 7 Science in China. Series A 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 The Journal of Fourier Analysis and Applications 7 Stochastics 6 Journal of Applied Probability 6 Journal of Multivariate Analysis 6 Frontiers of Mathematics in China 5 Communications in Statistics. Theory and Methods 5 Potential Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Extremes 5 Stochastic Models 5 Stochastics and Dynamics 5 Science China. Mathematics 4 Journal of Mathematical Physics 4 Journal of Statistical Physics 4 Chaos, Solitons and Fractals 4 Journal of Functional Analysis 4 Journal of Statistical Planning and Inference 4 Probability and Mathematical Statistics 4 The Annals of Applied Probability 4 Electronic Communications in Probability 4 Wuhan University Journal of Natural Sciences (WUJNS) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Lithuanian Mathematical Journal 3 Advances in Mathematics 3 Journal of Computational and Applied Mathematics 3 Applied Mathematics and Mechanics. (English Edition) 3 Revista Matemática Iberoamericana 3 Theory of Probability and Mathematical Statistics 3 Random Operators and Stochastic Equations 3 Electronic Journal of Probability 3 Abstract and Applied Analysis 3 Fractional Calculus & Applied Analysis 3 Statistical Inference for Stochastic Processes 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of the Korean Statistical Society 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Journal of Fractal Geometry 2 Advances in Applied Probability 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Metrika 2 Journal of Differential Equations 2 Journal of Time Series Analysis 2 Chinese Annals of Mathematics. Series B 2 Journal of Applied Mathematics and Stochastic Analysis 2 Applied Mathematics. Series B (English Edition) 2 Applied and Computational Harmonic Analysis 2 Annales Mathématiques Blaise Pascal 2 Fractals 2 Journal of Nonparametric Statistics 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 Chaos 2 Journal of Statistical Mechanics: Theory and Experiment 2 Boundary Value Problems 2 Journal of Physics A: Mathematical and Theoretical 2 Advances in Mathematical Physics 1 International Journal of Modern Physics B 1 American Mathematical Monthly 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Czechoslovak Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Statistics 1 Journal of Complexity 1 Constructive Approximation ...and 40 more Serials
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#### Cited in 38 Fields

 483 Probability theory and stochastic processes (60-XX) 98 Measure and integration (28-XX) 63 Statistics (62-XX) 35 Partial differential equations (35-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 19 Numerical analysis (65-XX) 16 Real functions (26-XX) 16 Statistical mechanics, structure of matter (82-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Special functions (33-XX) 5 Operator theory (47-XX) 4 Number theory (11-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 4 Biology and other natural sciences (92-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-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 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)