# zbMATH — the first resource for mathematics

## Shieh, Narn-Rueih

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 Author ID: shieh.narn-rueih Published as: Shieh, N. R.; Shieh, N.-R.; Shieh, Narn Rueih; Shieh, Narn-Rueih
 Documents Indexed: 70 Publications since 1977, including 2 Books
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#### Co-Authors

 27 single-authored 6 Leonenko, Nikolai N. 6 Xiao, Yimin 5 Anh, Vo V. 5 Liu, Gi-Ren 5 Mörters, Peter 3 Kono, Norio 3 Matsui, Muneya 3 Taylor, Samuel James 2 Khoshnevisan, Davar 2 Li, Bing 2 Yu, Jinghu 1 Ayache, Antoine 1 Chen, Jau-D. 1 Chen, Lung-Chi 1 Fan, Ai Hua 1 Fang, Lulu 1 Kuo, Hui-Hsiung 1 Le Gall, Jean-François 1 Liu, Quansheng 1 Rosen, Jay S. 1 Taufer, Emanuele 1 Wu, Min 1 Yokoi, Yoshitaka 1 Yu, Jingming 1 Zhang, Xiongying
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#### Serials

 4 Proceedings of the American Mathematical Society 4 Statistics & Probability Letters 3 The Annals of Probability 3 Journal of Mathematics of Kyoto University 3 Probability Theory and Related Fields 3 Bulletin of the Institute of Mathematics. Academia Sinica 3 Electronic Journal of Probability 3 Taiwanese Journal of Mathematics 2 Journal of Applied Probability 2 Mathematics Reports 2 Stochastic Analysis and Applications 2 Fractals 2 Bernoulli 2 Journal of Pseudo-Differential Operators and Applications 1 Advances in Applied Probability 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Studia Mathematica 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Chinese Journal of Mathematics 1 Nagoya Mathematical Journal 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Theory of Probability and Mathematical Statistics 1 Mathematical Communications 1 The Asian Journal of Mathematics 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Stochastics and Dynamics 1 Stochastics 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 65 Probability theory and stochastic processes (60-XX) 11 Measure and integration (28-XX) 7 Statistics (62-XX) 6 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

46 Publications have been cited 207 times in 140 Documents Cited by Year
Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times. Zbl 1268.60048
Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin
2011
On the multifractal spectrum of the branching measure of a Galton-Watson tree. Zbl 1062.60090
Mörters, Peter; Shieh, Narn-Rueih
2004
Hausdorff and packing dimensions of the images of random fields. Zbl 1227.60049
Shieh, Narn-Rueih; Xiao, Yimin
2010
Multifractality of products of geometric Ornstein-Uhlenbeck-type processes. Zbl 1181.60061
Anh, V. V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2008
Multifractal spectra of branching measure on a Galton-Watson tree. Zbl 1017.60043
Shieh, Narn-Rueih; Taylor, S. James
2002
On the exponentials of fractional Ornstein-Uhlenbeck processes. Zbl 1191.60048
Matsui, Muneya; Shieh, Narn-Rueih
2009
Logarithmic multifractal spectrum of stable occupation measure. Zbl 0932.60041
Shieh, Narn-Rueih; Taylor, S. James
1998
Multiple points of Lévy processes. Zbl 0684.60057
Le Gall, Jean-François; Rosen, Jay S.; Shieh, Narn-Rueih
1989
Rényi function for multifractal random fields. Zbl 1278.28003
Leonenko, Nikolai N.; Shieh, Narn-Rueih
2013
Multifractal products of stationary diffusion processes. Zbl 1178.60038
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2009
Images of Gaussian random fields: Salem sets and interior points. Zbl 1105.60023
Shieh, Narn-Rueih; Xiao, Yimin
2006
Multiple points of dilation-stable Lévy processes. Zbl 0948.60025
Shieh, Narn-Rueih
1998
Local times and related sample path properties of certain self-similar processes. Zbl 0776.60054
Kôno, Norio; Shieh, Narn-Rueih
1993
Thin and thick points for branching measure on a Galton-Watson tree. Zbl 1005.60090
Mörters, Peter; Shieh, Narn-Rueih
2002
Hitting probabilities of the random covering sets. Zbl 1321.60015
Li, Bing; Shieh, Narn-Rueih; Xiao, Yimin
2013
Multifractal scaling of products of birth-death processes. Zbl 1215.60048
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2009
Simulation of multifractal products of Ornstein-Uhlenbeck type processes. Zbl 1206.60048
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih; Taufer, Emanuele
2010
The exact packing measure of Brownian double points. Zbl 1160.60025
Mörters, Peter; Shieh, Narn-Rueih
2009
Hausdorff dimension of the contours of symmetric additive Lévy processes. Zbl 1139.60010
Khoshnevisan, Davar; Shieh, Narn-Rueih; Xiao, Yimin
2008
Limit theorems for local times of fractional Brownian motions and some other self-similar processes. Zbl 0882.60037
Shieh, Narn-Rueih
1996
Multiple points of fractional stable processes. Zbl 0796.60047
Shieh, Narn-Rueih
1993
White noise analysis and Tanaka formula for intersections of planar Brownian motion. Zbl 0759.60041
Shieh, Narn-Rueih
1991
On time-fractional relativistic diffusion equations. Zbl 1253.35235
Shieh, Narn-Rueih
2012
Scaling limits for time-fractional diffusion-wave systems with random initial data. Zbl 1247.60070
Liu, Gi-Ren; Shieh, Narn-Rueih
2010
Multifractal analysis of branching measure on a Galton-Watson tree. Zbl 1172.60024
Mörters, Peter; Shieh, Narn-Rueih
2008
Multifractal spectra of certain random Gibbs measures. Zbl 0989.60098
Fan, Aihua; Shieh, Narn-Rueih
2000
Homogenization of fractional kinetic equations with random initial data. Zbl 1231.60046
Liu, Gi-Ren; Shieh, Narn-Rueih
2011
A uniform limit law for the branching measure on a Galton-Watson tree. Zbl 0977.60078
Liu, Quansheng; Shieh, Narn-Rueih
1999
Some self-similar processes related to local times. Zbl 0833.60045
Shieh, Narn-Rueih
1995
Multiple points of sample paths of Markov processes. Zbl 0753.60036
Shieh, Narn-Rueih
1992
Multi-scaling limits for relativistic diffusion equations with random initial data. Zbl 1316.60076
Liu, Gi-Ren; Shieh, Narn-Rueih
2015
On the exponential process associated with a CARMA-type process. Zbl 1303.60028
Matsui, Muneya; Shieh, Narn-Rueih
2013
Free fields associated with the relativistic operator $${-(m-\sqrt{m^{2}-\delta})}$$. Zbl 1270.81082
Shieh, Narn-Rueih
2012
Scaling limits for some P.D.E. Systems with random initial conditions. Zbl 1207.35285
Liu, Gi-Ren; Shieh, Narn-Rueih
2010
Fractal geometry of Lévy-based spatial-temporal random fields. Zbl 1386.60183
Shieh, Narn-Rueih
2009
Random $$p$$-adic Riesz products: continuity, singularity, and dimension. Zbl 1179.60030
Shieh, Narn-Rueih; Zhang, Xiong-Ying
2009
Log-Euler’s gamma multifractal scenario for products of Ornstein-Uhlenbeck type processes. Zbl 1168.60013
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2008
Iterated function system and Galton-Watson tree. Zbl 1150.60025
Yu, Jingming; Shieh, Narn-Rueih
2007
Critical behavior for an oriented percolation with long-range interactions in dimension $$d>2$$. Zbl 1113.82065
Chen, Lung-Chi; Shieh, Narn-Rueih
2006
Dimensions of supercritical branching processes in varying environments. Zbl 1067.60088
Shieh, Narn-Rueih; Yu, Jinghu
2005
Small scale limit theorems for the intersection local times of Brownian motion. Zbl 0937.60032
Mörters, Peter; Shieh, Narn-Rueih
1999
Sample functions of Lévy-Chentsov random fields. Zbl 0967.60044
Shieh, Narn-Rueih
1996
Positivity of Donsker’s delta function. Zbl 0817.60044
Shieh, Narn-Rueih; Yokoi, Yoshitaka
1990
Collisions of Lévy processes. Zbl 0677.60081
Shieh, Narn-Rueih
1989
A generalized Ito’s formula for multidimensional Brownian motions and its applications. Zbl 0636.60052
Kuo, Hui-Hsiung; Shieh, Narn-Rueih
1987
Multiple points of a random field. Zbl 0548.60041
Shieh, Narn Rueih
1984
Multi-scaling limits for relativistic diffusion equations with random initial data. Zbl 1316.60076
Liu, Gi-Ren; Shieh, Narn-Rueih
2015
Rényi function for multifractal random fields. Zbl 1278.28003
Leonenko, Nikolai N.; Shieh, Narn-Rueih
2013
Hitting probabilities of the random covering sets. Zbl 1321.60015
Li, Bing; Shieh, Narn-Rueih; Xiao, Yimin
2013
On the exponential process associated with a CARMA-type process. Zbl 1303.60028
Matsui, Muneya; Shieh, Narn-Rueih
2013
On time-fractional relativistic diffusion equations. Zbl 1253.35235
Shieh, Narn-Rueih
2012
Free fields associated with the relativistic operator $${-(m-\sqrt{m^{2}-\delta})}$$. Zbl 1270.81082
Shieh, Narn-Rueih
2012
Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times. Zbl 1268.60048
Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin
2011
Homogenization of fractional kinetic equations with random initial data. Zbl 1231.60046
Liu, Gi-Ren; Shieh, Narn-Rueih
2011
Hausdorff and packing dimensions of the images of random fields. Zbl 1227.60049
Shieh, Narn-Rueih; Xiao, Yimin
2010
Simulation of multifractal products of Ornstein-Uhlenbeck type processes. Zbl 1206.60048
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih; Taufer, Emanuele
2010
Scaling limits for time-fractional diffusion-wave systems with random initial data. Zbl 1247.60070
Liu, Gi-Ren; Shieh, Narn-Rueih
2010
Scaling limits for some P.D.E. Systems with random initial conditions. Zbl 1207.35285
Liu, Gi-Ren; Shieh, Narn-Rueih
2010
On the exponentials of fractional Ornstein-Uhlenbeck processes. Zbl 1191.60048
Matsui, Muneya; Shieh, Narn-Rueih
2009
Multifractal products of stationary diffusion processes. Zbl 1178.60038
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2009
Multifractal scaling of products of birth-death processes. Zbl 1215.60048
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2009
The exact packing measure of Brownian double points. Zbl 1160.60025
Mörters, Peter; Shieh, Narn-Rueih
2009
Fractal geometry of Lévy-based spatial-temporal random fields. Zbl 1386.60183
Shieh, Narn-Rueih
2009
Random $$p$$-adic Riesz products: continuity, singularity, and dimension. Zbl 1179.60030
Shieh, Narn-Rueih; Zhang, Xiong-Ying
2009
Multifractality of products of geometric Ornstein-Uhlenbeck-type processes. Zbl 1181.60061
Anh, V. V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2008
Hausdorff dimension of the contours of symmetric additive Lévy processes. Zbl 1139.60010
Khoshnevisan, Davar; Shieh, Narn-Rueih; Xiao, Yimin
2008
Multifractal analysis of branching measure on a Galton-Watson tree. Zbl 1172.60024
Mörters, Peter; Shieh, Narn-Rueih
2008
Log-Euler’s gamma multifractal scenario for products of Ornstein-Uhlenbeck type processes. Zbl 1168.60013
Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih
2008
Iterated function system and Galton-Watson tree. Zbl 1150.60025
Yu, Jingming; Shieh, Narn-Rueih
2007
Images of Gaussian random fields: Salem sets and interior points. Zbl 1105.60023
Shieh, Narn-Rueih; Xiao, Yimin
2006
Critical behavior for an oriented percolation with long-range interactions in dimension $$d>2$$. Zbl 1113.82065
Chen, Lung-Chi; Shieh, Narn-Rueih
2006
Dimensions of supercritical branching processes in varying environments. Zbl 1067.60088
Shieh, Narn-Rueih; Yu, Jinghu
2005
On the multifractal spectrum of the branching measure of a Galton-Watson tree. Zbl 1062.60090
Mörters, Peter; Shieh, Narn-Rueih
2004
Multifractal spectra of branching measure on a Galton-Watson tree. Zbl 1017.60043
Shieh, Narn-Rueih; Taylor, S. James
2002
Thin and thick points for branching measure on a Galton-Watson tree. Zbl 1005.60090
Mörters, Peter; Shieh, Narn-Rueih
2002
Multifractal spectra of certain random Gibbs measures. Zbl 0989.60098
Fan, Aihua; Shieh, Narn-Rueih
2000
A uniform limit law for the branching measure on a Galton-Watson tree. Zbl 0977.60078
Liu, Quansheng; Shieh, Narn-Rueih
1999
Small scale limit theorems for the intersection local times of Brownian motion. Zbl 0937.60032
Mörters, Peter; Shieh, Narn-Rueih
1999
Logarithmic multifractal spectrum of stable occupation measure. Zbl 0932.60041
Shieh, Narn-Rueih; Taylor, S. James
1998
Multiple points of dilation-stable Lévy processes. Zbl 0948.60025
Shieh, Narn-Rueih
1998
Limit theorems for local times of fractional Brownian motions and some other self-similar processes. Zbl 0882.60037
Shieh, Narn-Rueih
1996
Sample functions of Lévy-Chentsov random fields. Zbl 0967.60044
Shieh, Narn-Rueih
1996
Some self-similar processes related to local times. Zbl 0833.60045
Shieh, Narn-Rueih
1995
Local times and related sample path properties of certain self-similar processes. Zbl 0776.60054
Kôno, Norio; Shieh, Narn-Rueih
1993
Multiple points of fractional stable processes. Zbl 0796.60047
Shieh, Narn-Rueih
1993
Multiple points of sample paths of Markov processes. Zbl 0753.60036
Shieh, Narn-Rueih
1992
White noise analysis and Tanaka formula for intersections of planar Brownian motion. Zbl 0759.60041
Shieh, Narn-Rueih
1991
Positivity of Donsker’s delta function. Zbl 0817.60044
Shieh, Narn-Rueih; Yokoi, Yoshitaka
1990
Multiple points of Lévy processes. Zbl 0684.60057
Le Gall, Jean-François; Rosen, Jay S.; Shieh, Narn-Rueih
1989
Collisions of Lévy processes. Zbl 0677.60081
Shieh, Narn-Rueih
1989
A generalized Ito’s formula for multidimensional Brownian motions and its applications. Zbl 0636.60052
Kuo, Hui-Hsiung; Shieh, Narn-Rueih
1987
Multiple points of a random field. Zbl 0548.60041
Shieh, Narn Rueih
1984
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#### Cited by 151 Authors

 19 Shieh, Narn-Rueih 15 Xiao, Yimin 9 Leonenko, Nikolai N. 8 Mörters, Peter 7 Khoshnevisan, Davar 7 Ma, Chunsheng 6 Anh, Vo V. 6 Ayache, Antoine 4 Prakasa Rao, B. L. S. 4 Streit, Ludwig 3 Chen, Xia 3 Feng, De-Jun 3 Herbin, Erick 3 Hou, Yanyan 3 Hu, Xiaoyu 3 Järvenpää, Maarit 3 Liu, Gi-Ren 3 Meerschaert, Mark M. 3 Mishra, Mahendra Nath 3 Mukeru, Safari 3 Ruiz-Medina, María Dolores 3 Shen, Guangjun 2 Ait Ouahra, Mohamed 2 Angulo, José Miguel 2 Arras, Benjamin 2 Balança, Paul 2 Barral, Julien 2 Becker-Kern, Peter 2 Bock, Wolfgang 2 Chen, Zhenlong 2 da Silva, José Luís 2 Denisov, Denis E. 2 Franke, Brice 2 Grahovac, Danijel 2 Guerbaz, Raby 2 Hamonier, Julien 2 Järvenpää, Esa 2 Kinnison, Adam L. 2 Kong, LingTao 2 Luks, Tomasz 2 Matsui, Muneya 2 Mytnik, Leonid 2 Rosen, Jay S. 2 Saigo, Tatsuhiko 2 Shu, Lin 2 Suomala, Ville 2 Suryawan, Herry Pribawanto 2 Wachtel, Vitali I. 2 Ying, Jiangang 2 Yu, Jinghu 2 Yu, Qian 2 Zhu, Dongjin 1 Aman, Auguste 1 Attia, Najmeddine 1 Bai, Long 1 Bass, Richard F. 1 Berestycki, Julien 1 Berestycki, Nathanaël 1 Berlinkov, Artemi 1 Berman, Simeon M. 1 Blath, Jochen 1 Bugeaud, Yann 1 Chen, Lung-Chi 1 Chen, Xinxing 1 Dai, Chaoshou 1 de Faria, Margarida 1 Dembo, Amir 1 Ding, Yiming 1 Dorogovtsev, Andriĭ Anatoliĭovych 1 Drumond, Custódia 1 Durand, Arnaud 1 Espejo, Rosa M. 1 Esser, Céline 1 Falconer, Kenneth J. 1 Fan, Ai Hua 1 Fan, Xiliang 1 Fleischmann, Klaus 1 Fraser, Jonathan MacDonald 1 Frías, M. P. 1 Garcia, Ignacio 1 Hachaichi, Rached 1 Hashorva, Enkelejd 1 Hu, Zhang-nan 1 Imkeller, Peter 1 Izyumtseva, O. L. 1 Jenane, R. 1 Ji, Lanpeng 1 Jin, Sixian 1 Kallenberg, Olav 1 Kasahara, Yuji 1 Kiefer, Richard 1 Klenke, Achim 1 Koivusalo, Henna 1 König, Wolfgang Dieter 1 Kono, Norio 1 Levin, David A. 1 Li, Bing 1 Li, Bing 1 Li, Jinjun 1 Li, Yunmeng ...and 51 more Authors
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#### Cited in 54 Serials

 11 The Annals of Probability 11 Stochastic Analysis and Applications 11 Journal of Theoretical Probability 11 Stochastic Processes and their Applications 9 Statistics & Probability Letters 7 Bernoulli 6 Probability Theory and Related Fields 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Advances in Applied Probability 3 Journal of Mathematical Analysis and Applications 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Fractals 3 Acta Mathematica Sinica. English Series 3 Stochastics 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Probability and Mathematical Statistics 2 Theory of Probability and Mathematical Statistics 2 Random Operators and Stochastic Equations 2 Frontiers of Mathematics in China 2 Journal of Pseudo-Differential Operators and Applications 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Ukrainian Mathematical Journal 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Monatshefte für Mathematik 1 Ergodic Theory and Dynamical Systems 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Science in China. Series A 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Applied Mathematics. Series B (English Edition) 1 Annales Mathématiques Blaise Pascal 1 The Journal of Fourier Analysis and Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Statistical Inference for Stochastic Processes 1 Journal of the European Mathematical Society (JEMS) 1 Stochastic Models 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Mediterranean Journal of Mathematics 1 Analysis & PDE 1 Science China. Mathematics 1 Journal of Probability and Statistics
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#### Cited in 16 Fields

 130 Probability theory and stochastic processes (60-XX) 39 Measure and integration (28-XX) 18 Statistics (62-XX) 7 Partial differential equations (35-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)