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Author ID: xiao.yimin Recent zbMATH articles by "Xiao, Yimin"
Published as: Xiao, Yimin; Xiao, Yi Min; Xiao, YiMin; Xiao, Y.; Xiao, Yi-Min; Xiao, Y. M.
Homepage: http://www.stt.msu.edu/~xiaoyimi
External Links: MGP · Math-Net.Ru · dblp · IdRef · theses.fr
Documents Indexed: 173 Publications since 1988, including 8 Additional arXiv Preprints
Reviewing Activity: 137 Reviews
Co-Authors: 85 Co-Authors with 135 Joint Publications
2,144 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 Xu, Lihu
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 Zeleke, Aklilu
2 Zhou, Yuzhen
1 Allouba, Hassan
1 Baraka, Driss
1 Becker-Kern, Peter
1 Beknazaryan, Aleksandr F.
1 Biermé, Hermine
1 Chen, Peng
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

Publications by Year

Citations contained in zbMATH Open

142 Publications have been cited 1,695 times in 755 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
81
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
49
2007
Random fractals and Markov processes. Zbl 1068.60092
Xiao, Yimin
45
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
38
2007
Properties of local-nondeterminism of Gaussian and stable random fields and their applications. Zbl 1128.60041
Xiao, Yimin
36
2006
Correlated continuous time random walks. Zbl 1179.60024
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
34
2009
Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Zbl 1322.60069
Meerschaert, Mark M.; Wang, Wensheng; Xiao, Yimin
33
2013
Joint continuity of the local times of fractional Brownian sheets. Zbl 1180.60032
Ayache, Antoine; Wu, Dongsheng; Xiao, Yimin
31
2008
Intermittency and multifractality: a case study via parabolic stochastic PDEs. Zbl 1418.60081
Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin
31
2017
Limsup random fractals. Zbl 0949.60025
Khoshnevisan, Davar; Peres, Yuval; Xiao, Yimin
30
2000
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
Lévy processes: capacity and Hausdorff dimension. Zbl 1072.60040
Khoshnevisan, Davar; Xiao, Yimin
28
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
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
26
2017
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
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
Regularity of intersection local times of fractional Brownian motions. Zbl 1217.60030
Wu, Dongsheng; Xiao, Yimin
22
2010
Dimension results for Gaussian vector fields and index-\(\alpha\) stable fields. Zbl 0834.60040
Xiao, Yimin
21
1995
Fractal and smoothness properties of space-time Gaussian models. Zbl 1271.62216
Xue, Yun; Xiao, Yimin
21
2011
Local times of additive Lévy processes. Zbl 1075.60520
Khoshnevisan, Davar; Xiao, Yimin; Zhong, Yuquan
21
2003
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
Hausdorff and packing dimensions of the images of random fields. Zbl 1227.60049
Shieh, Narn-Rueih; Xiao, Yimin
17
2010
Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
17
2008
Fractal dimension results for continuous time random walks. Zbl 1401.60080
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
17
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
Local times of multifractional Brownian sheets. Zbl 1186.60036
Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin
16
2008
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
Dimension results for sample paths of operator stable Lévy processes. Zbl 1074.60079
Meerschaert, Mark M.; Xiao, Yimin
16
2005
Sectorial local non-determinism and the geometry of the Brownian sheet. Zbl 1111.60020
Xiao, Yimin; Khoshnevisan, Davar; Wu, Dongsheng
15
2006
Hausdorff measure of the graph of fractional Brownian motion. Zbl 0897.60043
Xiao, Yimin
14
1997
The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments. Zbl 1339.60055
Cheng, Dan; Xiao, Yimin
14
2016
Hitting probabilities and polar sets for fractional Brownian motion. Zbl 0928.60027
Xiao, Yimin
14
1999
Polarity of points for Gaussian random fields. Zbl 1390.60135
Dalang, Robert C.; Mueller, Carl; Xiao, Yimin
14
2017
On the minimax optimality of block thresholded wavelet estimators with long memory data. Zbl 1331.62220
Li, Linyuan; Xiao, Yimin
14
2007
Fractional Brownian motion and packing dimension. Zbl 0860.60064
Talagrand, Michel; Xiao, Yimin
12
1996
Hausdorff measure of the sample paths of Gaussian random fields. Zbl 0872.60030
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
A macroscopic multifractal analysis of parabolic stochastic PDEs. Zbl 1454.60095
Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin
12
2018
Properties of strong local nondeterminism and local times of stable random fields. Zbl 1261.60048
Xiao, Yimin
11
2011
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
Uniform modulus of continuity of random fields. Zbl 1181.60074
Xiao, Yimin
11
2010
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
Dimension properties of sample paths of self-similar processes. Zbl 0813.60042
Xiao, Yimin; Lin, Huonan
10
1994
Local and asymptotic properties of linear fractional stable sheets. Zbl 1112.60038
Ayache, Antoine; Roueff, François; Xiao, Yimin
9
2007
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
On local times of anisotropic Gaussian random fields. Zbl 1331.60060
Wu, Dongsheng; Xiao, Yimin
9
2011
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
9
2020
Packing dimension of the range of a Lévy process. Zbl 1151.60022
Khoshnevisan, Davar; Xiao, Yimin
9
2008
Packing dimension, Hausdorff dimension and Cartesian product sets. Zbl 0864.28001
Xiao, Yimin
8
1996
Occupation time fluctuations of weakly degenerate branching systems. Zbl 1263.60077
Li, Yuqiang; Xiao, Yimin
8
2012
Hölder properties of local times for fractional Brownian motions. Zbl 1433.60018
Baraka, D.; Mountford, T.; Xiao, Y.
8
2009
Chung’s law of the iterated logarithm for anisotropic Gaussian random fields. Zbl 1210.60037
Luan, Nana; Xiao, Yimin
8
2010
Additive Lévy processes: capacity and Hausdorff dimension. Zbl 1065.60101
Khoshnevisan, Davar; Xiao, Yimin
8
2004
Packing-dimension profiles and fractional Brownian motion. Zbl 1152.28009
Khoshnevisan, Davar; Xiao, Yimin
8
2008
Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. Zbl 1390.60185
Lan, Xiaohong; Marinucci, Domenico; Xiao, Yimin
8
2018
Fractal properties of the random string processes. Zbl 1120.60040
Wu, Dongsheng; Xiao, Yimin
8
2006
On the macroscopic fractal geometry of some random sets. Zbl 1409.60075
Khoshnevisan, Davar; Xiao, Yimin
8
2017
Packing measure of the sample paths of fractional Brownian motion. Zbl 0858.60039
Xiao, Yimin
8
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
Uniform dimension results for Gaussian random fields. Zbl 1205.60078
Wu, DongSheng; Xiao, YiMin
7
2009
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
Hausdorff-type measures of the sample paths of fractional Brownian motion. Zbl 0937.60076
Xiao, Yimin
6
1998
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
6
2017
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
Packing dimension results for anisotropic Gaussian random fields. Zbl 1331.60057
Estrade, Anne; Wu, Dongsheng; Xiao, Yimin
6
2011
Asymptotic results for self-similar Markov processes. Zbl 0936.60060
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
Cramér type moderate deviations for random fields. Zbl 1418.60018
Beknazaryan, Aleksandr; Sang, Hailin; Xiao, Yimin
6
2019
A packing dimension theorem for Gaussian random fields. Zbl 1158.60018
Xiao, Yimin
6
2009
Wavelet-based estimators of mean regression function with long memory data. Zbl 1099.62041
Li, Lin-Yuan; Xiao, Yi-Min
5
2006
Strong local nondeterminism of spherical fractional Brownian motion. Zbl 1392.60034
Lan, Xiaohong; Xiao, Yimin
5
2018
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
Brownian motion and thermal capacity. Zbl 1305.60077
Khoshnevisan, Davar; Xiao, Yimin
5
2015
Hausdorff dimension theorems for self-similar Markov processes. Zbl 0985.60075
Liu, Luqin; Xiao, Yimin
4
1998
Generalized dimensions of images of measures under Gaussian processes. Zbl 1292.60047
Falconer, Kenneth; Xiao, Yimin
4
2014
Tail asymptotics for the extremes of bivariate Gaussian random fields. Zbl 1392.60033
Zhou, Yuzhen; Xiao, Yimin
4
2017
Hausdorff dimension of the contours of symmetric additive Lévy processes. Zbl 1139.60010
Khoshnevisan, Davar; Shieh, Narn-Rueih; Xiao, Yimin
4
2008
Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030
Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin
4
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
Wavelet-based estimation of regression function with strong mixing errors under fixed design. Zbl 1369.62059
Li, Linyuan; Xiao, Yimin
4
2017
The packing measure of the trajectories of multiparameter fractional Brownian motion. Zbl 1041.60039
Xiao, Yimin
4
2003
Multiple points of Gaussian random fields. Zbl 1480.60089
Dalang, Robert C.; Lee, Cheuk Yin; Mueller, Carl; Xiao, Yimin
4
2021
The Hausdorff dimension of the level sets of stable processes in random scenery. Zbl 0937.60030
Xiao, Yimin
3
1999
Smoothness of local times and self-intersection local times of Gaussian random fields. Zbl 1319.60155
Chen, Zhenlong; Wu, Dongsheng; Xiao, Yimin
3
2015
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
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
Lower functions and Chung’s LILs of the generalized fractional Brownian motion. Zbl 1489.60062
Wang, Ran; Xiao, Yimin
1
2022
Multiple points of Gaussian random fields. Zbl 1480.60089
Dalang, Robert C.; Lee, Cheuk Yin; Mueller, Carl; Xiao, Yimin
4
2021
On collision of multiple eigenvalues for matrix-valued Gaussian processes. Zbl 1510.60005
Song, Jian; Xiao, Yimin; Yuan, Wangjun
3
2021
Maximal moments and uniform modulus of continuity for stable random fields. Zbl 1469.60166
Panigrahi, Snigdha; Roy, Parthanil; Xiao, Yimin
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
9
2020
Uniform dimension results for the inverse images of symmetric Lévy processes. Zbl 1459.60180
Park, Hyunchul; Xiao, Yimin; Yang, Xiaochuan
2
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
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
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
Local times and Hausdorff dimensions of inverse images of Gaussian vector fields with space-anisotropy. Zbl 1499.60267
Chen, Zhenlong; Xiao, Yimin
2
2019
Sample paths properties of the set-indexed fractional Brownian motion. Zbl 1458.60046
Herbin, Erick; Xiao, Yimin
1
2019
The Csörgő-Révész moduli of non-differentiability of fractional Brownian motion. Zbl 1458.60047
Wang, Wensheng; Xiao, Yimin
1
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
A macroscopic multifractal analysis of parabolic stochastic PDEs. Zbl 1454.60095
Khoshnevisan, Davar; Kim, Kunwoo; Xiao, Yimin
12
2018
Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. Zbl 1390.60185
Lan, Xiaohong; Marinucci, Domenico; Xiao, Yimin
8
2018
Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405
Xiao, Y.; Shi, J. N.; Yang, Z. W.
6
2018
Strong local nondeterminism of spherical fractional Brownian motion. Zbl 1392.60034
Lan, Xiaohong; Xiao, Yimin
5
2018
Exact moderate and large deviations for linear random fields. Zbl 1401.60047
Sang, Hailin; 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
31
2017
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
26
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
6
2017
Tail asymptotics for the extremes of bivariate Gaussian random fields. Zbl 1392.60033
Zhou, Yuzhen; Xiao, Yimin
4
2017
Wavelet-based estimation of regression function with strong mixing errors under fixed design. Zbl 1369.62059
Li, Linyuan; 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
17
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
A class of fractional Brownian fields from branching systems and their regularity properties. Zbl 1281.60038
Li, Yuqiang; Xiao, Yimin
2
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
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
Critical Brownian sheet does not have double points. Zbl 1269.60053
Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulalia; Wu, Dongsheng; Xiao, Yimin
7
2012
Packing dimension profiles and Lévy processes. Zbl 1266.60071
Khoshnevisan, D.; Schilling, R. L.; Xiao, Y.
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
21
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
9
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
22
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
81
2009
Correlated continuous time random walks. Zbl 1179.60024
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
34
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
Uniform dimension results for Gaussian random fields. Zbl 1205.60078
Wu, DongSheng; Xiao, YiMin
7
2009
Continuity in the Hurst index of the local times of anisotropic Gaussian random fields. Zbl 1165.60320
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
31
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
49
2007
Geometric properties of fractional Brownian sheets. Zbl 1127.60032
Wu, Dongsheng; Xiao, Yimin
38
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 42 more Documents
all top 5

Cited by 782 Authors

92 Xiao, Yimin
24 Chen, Zhenlong
23 Khoshnevisan, Davar
23 Nane, Erkan
19 Ayache, Antoine
17 Wu, Dongsheng
17 Yan, Litan
16 Ma, Chunsheng
16 Meerschaert, Mark Marvin
13 Wang, Wensheng
12 Lin, Zhengyan
12 Tudor, Ciprian A.
11 Shen, Guangjun
10 Nualart, David
10 Shieh, Narn-Rueih
9 Falconer, Kenneth J.
9 Kim, Kunwoo
8 Dalang, Robert C.
8 Hashorva, Enkelejd
8 Li, Yuqiang
8 Magdziarz, Marcin
8 Song, Jian
8 Yu, Qian
7 Balan, Raluca M.
7 Didier, Gustavo
7 Herbin, Erick
7 Lee, Cheuk-Yin
7 Leonenko, Nikolai N.
7 Li, Ming
7 Wang, Yizao
7 Yang, Xiaochuan
6 Biermé, Hermine
6 Chen, Xia
6 Dębicki, Krzysztof
6 Guerbaz, Raby
6 Hu, Yaozhong
6 Järvenpää, Maarit
6 Marinucci, Domenico
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 Mijena, Jebessa B.
5 Mountford, Thomas S.
5 Müller, Carl E.
5 Seuret, Stéphane
5 Sun, Xichao
5 Zhou, Xingcai
4 Abry, Patrice
4 Boufoussi, Brahim
4 Chen, Chao
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 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 Szczotka, Władysław
4 Wyłomańska, Agnieszka
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 Chong, Carsten
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
...and 682 more Authors
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Cited in 178 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
13 Acta Mathematica Sinica. English Series
11 Transactions of the American Mathematical Society
10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Communications in Statistics. Theory and Methods
8 Journal of Multivariate Analysis
8 The Journal of Fourier Analysis and Applications
8 Stochastics and Dynamics
8 Journal of Statistical Mechanics: Theory and Experiment
7 Journal of Applied Probability
7 Proceedings of the American Mathematical Society
7 Acta Mathematicae Applicatae Sinica. English Series
7 Probability Theory and Related Fields
7 Science in China. Series A
7 Potential Analysis
7 Journal of Inequalities and Applications
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Frontiers of Mathematics in China
6 Physica A
6 The Annals of Applied Probability
6 Electronic Communications in Probability
6 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 Science China. Mathematics
6 Stochastic and Partial Differential Equations. Analysis and Computations
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
5 Advances in Mathematics
5 Journal of Functional Analysis
5 Probability and Mathematical Statistics
5 Random Operators and Stochastic Equations
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Extremes
5 Communications in Nonlinear Science and Numerical Simulation
5 Stochastic Models
4 Communications in Mathematical Physics
4 Chaos, Solitons and Fractals
4 Journal of Statistical Planning and Inference
4 Theory of Probability and Mathematical Statistics
4 Fractals
4 Wuhan University Journal of Natural Sciences (WUJNS)
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of the Korean Statistical Society
3 Lithuanian Mathematical Journal
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Theory of Probability and its Applications
3 Journal of Computational and Applied Mathematics
3 Journal of Time Series Analysis
3 Applied Mathematics and Mechanics. (English Edition)
3 Statistical Science
3 Revista Matemática Iberoamericana
3 Applied and Computational Harmonic Analysis
3 Abstract and Applied Analysis
3 Fractional Calculus & Applied Analysis
3 Statistical Inference for Stochastic Processes
3 Electronic Journal of Statistics
3 Journal of Fractal Geometry
3 Modern Stochastics. Theory and Applications
2 Advances in Applied Probability
2 Applicable Analysis
2 Computers & Mathematics with Applications
2 Metrika
2 Journal of Differential Equations
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Chinese Annals of Mathematics. Series B
2 Journal of Complexity
2 Constructive Approximation
2 Applied Mathematics Letters
2 Queueing Systems
2 Journal of Applied Mathematics and Stochastic Analysis
2 Computational Statistics and Data Analysis
2 Applied Mathematics. Series B (English Edition)
2 Annales Mathématiques Blaise Pascal
2 Bulletin des Sciences Mathématiques
2 Journal of Nonparametric Statistics
2 Mathematical Problems in Engineering
2 Chaos
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Advances in Difference Equations
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 Israel Journal of Mathematics
1 Periodica Mathematica Hungarica
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Acta Mathematica Vietnamica
...and 78 more Serials
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Cited in 42 Fields

651 Probability theory and stochastic processes (60-XX)
124 Measure and integration (28-XX)
86 Statistics (62-XX)
76 Partial differential equations (35-XX)
40 Harmonic analysis on Euclidean spaces (42-XX)
29 Statistical mechanics, structure of matter (82-XX)
23 Real functions (26-XX)
21 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 Functional analysis (46-XX)
5 Operator theory (47-XX)
5 General topology (54-XX)
5 Fluid mechanics (76-XX)
4 Combinatorics (05-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Quantum theory (81-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Biology and other natural sciences (92-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)
2 Approximations and expansions (41-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-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 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

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