Edit Profile (opens in new tab) Becker-Kern, Peter Co-Author Distance Author ID: becker-kern.peter Published as: Kern, Peter; Becker-Kern, Peter; Becker-Kern, P.; Kern, P. more...less Homepage: https://www.math.hhu.de/en/chairs-/-people-/-contact-persons/the-chairs-of-the-m... External Links: MGP · dblp Documents Indexed: 44 Publications since 2000, including 3 Additional arXiv Preprints Co-Authors: 19 Co-Authors with 33 Joint Publications 308 Co-Co-Authors all top 5 Co-Authors 11 single-authored 8 Scheffler, Hans-Peter 7 Barczy, Mátyás 7 Meerschaert, Mark Marvin 4 Wedrich, Lina 3 Lage, Svenja 3 Pap, Gyula 1 Barczyk, Adam 1 Bhatti, T. 1 Finner, Helmut 1 Hazod, Wilfried 1 Jurlewicz, Agnieszka 1 Krause, Vincent 1 Mitov, Kosto V. 1 Pleschberger, Leonard 1 Scheer, Marsel 1 Slavtchova-Bojkova, Maroussia Nikiforova 1 Sönmez, Ercan 1 Wedrich, Lisa 1 Xiao, Yimin all top 5 Serials 4 Journal of Theoretical Probability 3 Probability and Mathematical Statistics 3 Stochastic Processes and their Applications 2 The Annals of Probability 2 Monatshefte für Mathematik 2 Journal of Mathematical Sciences (New York) 1 Computers & Mathematics with Applications 1 Theory of Probability and its Applications 1 Journal of Applied Probability 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Studia Scientiarum Mathematicarum Hungarica 1 Yokohama Mathematical Journal 1 PLISKA. Studia Mathematica Bulgarica 1 Insurance Mathematics & Economics 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Aequationes Mathematicae 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Random Operators and Stochastic Equations 1 Journal of Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Fractional Calculus & Applied Analysis 1 Extremes 1 Brazilian Journal of Probability and Statistics 1 Journal of Applied Mathematics 1 Communications on Stochastic Analysis all top 5 Fields 43 Probability theory and stochastic processes (60-XX) 8 Measure and integration (28-XX) 4 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 214 times in 158 Documents Cited by ▼ Year ▼ Limit theorems for coupled continuous time random walks. Zbl 1054.60052 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 64 2004 Limit theorem for continuous-time random walks with two time scales. Zbl 1050.60038 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 34 2004 Fractional governing equations for coupled random walks. Zbl 1268.60057 Jurlewicz, A.; Kern, P.; Meerschaert, M. M.; Scheffler, H.-P. 26 2012 Hausdorff dimension of operator stable sample paths. Zbl 1038.60034 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 9 2003 Representations of multidimensional linear process bridges. Zbl 1391.60179 Barczy, Mátyás; Kern, Peter 7 2013 Random integral representation of operator-semi-self-similar processes with independent increments. Zbl 1075.60029 Becker-Kern, Peter 6 2004 Stable and semistable hemigroups: Domains of attraction and self-decomposability. Zbl 1029.60010 Becker-Kern, Peter 6 2003 Parameter estimation of selfsimilarity exponents. Zbl 1333.62149 Becker-Kern, Peter; Pap, Gyula 5 2008 A law of the iterated logarithm for randomly stopped sums of heavy tailed random vectors. Zbl 0964.60034 Scheffler, Hans-Peter; Becker-Kern, Peter 5 2000 Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030 Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin 4 2018 The Hausdorff dimension of operator semistable Lévy processes. Zbl 1301.60064 Kern, Peter; Wedrich, Lina 4 2014 Sample path deviations of the Wiener and the Ornstein-Uhlenbeck process from its bridges. Zbl 1306.60035 Barczy, Mátyás; Kern, Peter 4 2013 Dilatively stable stochastic processes and aggregate similarity. Zbl 1335.60055 Barczy, Mátyás; Kern, Peter; Pap, Gyula 4 2015 Max-semistable hemigroups: Structure, domains of attraction and limit theorems with random sample size. Zbl 1003.60054 Becker-Kern, Peter 4 2001 Limit theorems with random sample size for generalized domains of semistable attraction. Zbl 1016.60027 Becker-Kern, P. 3 2002 Almost sure limit theorems of mantissa type for semistable domains of attraction. Zbl 1127.60025 Becker-Kern, P. 3 2007 Dimension results related to the St. Petersburg game. Zbl 1301.60046 Kern, Peter; Wedrich, Lisa 3 2014 General alpha-Wiener bridges. Zbl 1331.60056 Barczy, Mátyás; Kern, Peter 3 2011 Semi-fractional diffusion equations. Zbl 1423.35400 Kern, Peter; Lage, Svenja; Meerschaert, Mark M. 3 2019 Mehler hemigroups and embedding of discrete skew convolution semigroups on simply connected nilpotent Lie groups. Zbl 1187.43006 Becker-Kern, P.; Hazod, W. 2 2009 Stochastic summability methods for domains of normal attraction of semistable laws. Zbl 1076.60018 Becker-Kern, P. 2 2004 On exact Hausdorff measure functions of operator semistable Lévy processes. Zbl 1387.60080 Kern, Peter; Wedrich, Lina 2 2017 On some compound distributions with Borel summands. Zbl 1320.60041 Finner, H.; Kern, P.; Scheer, M. 2 2015 Explicit representation of roots on \(p\)-adic solenoids and non-uniqueness of embeddability into rational one-parameter subgroups. Zbl 1136.43007 Becker-Kern, Peter 1 2007 Limit theorems for coupled continuous time random walks. Zbl 1244.60048 Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 1 2012 How to find stability in a purely semistable context. Zbl 1077.60035 Becker-Kern, Peter; Scheffler, Hans-Peter 1 2005 On multiple-particle continuous-time random walks. Zbl 1076.60019 Becker-Kern, Peter; Scheffler, Hans-Peter 1 2004 A general multiparameter version of Gnedenko’s transfer theorem. Zbl 1336.60044 Kern, P. 1 2016 Dilatively semistable stochastic processes. Zbl 1328.60099 Kern, Peter; Wedrich, Lina 1 2015 An almost sure limit theorem for mixtures of domains in random allocation. Zbl 1164.60013 Becker-Kern, Peter 1 2007 Space-time duality for semi-fractional diffusions. Zbl 1462.35441 Kern, Peter; Lage, Svenja 1 2021 Scaling limits of coupled continuous time random walks and residual order statistics through marked point processes. Zbl 1269.60048 Barczyk, A.; Kern, P. 1 2013 Space-time duality for semi-fractional diffusions. Zbl 1462.35441 Kern, Peter; Lage, Svenja 1 2021 Semi-fractional diffusion equations. Zbl 1423.35400 Kern, Peter; Lage, Svenja; Meerschaert, Mark M. 3 2019 Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030 Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin 4 2018 On exact Hausdorff measure functions of operator semistable Lévy processes. Zbl 1387.60080 Kern, Peter; Wedrich, Lina 2 2017 A general multiparameter version of Gnedenko’s transfer theorem. Zbl 1336.60044 Kern, P. 1 2016 Dilatively stable stochastic processes and aggregate similarity. Zbl 1335.60055 Barczy, Mátyás; Kern, Peter; Pap, Gyula 4 2015 On some compound distributions with Borel summands. Zbl 1320.60041 Finner, H.; Kern, P.; Scheer, M. 2 2015 Dilatively semistable stochastic processes. Zbl 1328.60099 Kern, Peter; Wedrich, Lina 1 2015 The Hausdorff dimension of operator semistable Lévy processes. Zbl 1301.60064 Kern, Peter; Wedrich, Lina 4 2014 Dimension results related to the St. Petersburg game. Zbl 1301.60046 Kern, Peter; Wedrich, Lisa 3 2014 Representations of multidimensional linear process bridges. Zbl 1391.60179 Barczy, Mátyás; Kern, Peter 7 2013 Sample path deviations of the Wiener and the Ornstein-Uhlenbeck process from its bridges. Zbl 1306.60035 Barczy, Mátyás; Kern, Peter 4 2013 Scaling limits of coupled continuous time random walks and residual order statistics through marked point processes. Zbl 1269.60048 Barczyk, A.; Kern, P. 1 2013 Fractional governing equations for coupled random walks. Zbl 1268.60057 Jurlewicz, A.; Kern, P.; Meerschaert, M. M.; Scheffler, H.-P. 26 2012 Limit theorems for coupled continuous time random walks. Zbl 1244.60048 Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 1 2012 General alpha-Wiener bridges. Zbl 1331.60056 Barczy, Mátyás; Kern, Peter 3 2011 Mehler hemigroups and embedding of discrete skew convolution semigroups on simply connected nilpotent Lie groups. Zbl 1187.43006 Becker-Kern, P.; Hazod, W. 2 2009 Parameter estimation of selfsimilarity exponents. Zbl 1333.62149 Becker-Kern, Peter; Pap, Gyula 5 2008 Almost sure limit theorems of mantissa type for semistable domains of attraction. Zbl 1127.60025 Becker-Kern, P. 3 2007 Explicit representation of roots on \(p\)-adic solenoids and non-uniqueness of embeddability into rational one-parameter subgroups. Zbl 1136.43007 Becker-Kern, Peter 1 2007 An almost sure limit theorem for mixtures of domains in random allocation. Zbl 1164.60013 Becker-Kern, Peter 1 2007 How to find stability in a purely semistable context. Zbl 1077.60035 Becker-Kern, Peter; Scheffler, Hans-Peter 1 2005 Limit theorems for coupled continuous time random walks. Zbl 1054.60052 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 64 2004 Limit theorem for continuous-time random walks with two time scales. Zbl 1050.60038 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 34 2004 Random integral representation of operator-semi-self-similar processes with independent increments. Zbl 1075.60029 Becker-Kern, Peter 6 2004 Stochastic summability methods for domains of normal attraction of semistable laws. Zbl 1076.60018 Becker-Kern, P. 2 2004 On multiple-particle continuous-time random walks. Zbl 1076.60019 Becker-Kern, Peter; Scheffler, Hans-Peter 1 2004 Hausdorff dimension of operator stable sample paths. Zbl 1038.60034 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 9 2003 Stable and semistable hemigroups: Domains of attraction and self-decomposability. Zbl 1029.60010 Becker-Kern, Peter 6 2003 Limit theorems with random sample size for generalized domains of semistable attraction. Zbl 1016.60027 Becker-Kern, P. 3 2002 Max-semistable hemigroups: Structure, domains of attraction and limit theorems with random sample size. Zbl 1003.60054 Becker-Kern, Peter 4 2001 A law of the iterated logarithm for randomly stopped sums of heavy tailed random vectors. Zbl 0964.60034 Scheffler, Hans-Peter; Becker-Kern, Peter 5 2000 all cited Publications top 5 cited Publications all top 5 Cited by 218 Authors 23 Meerschaert, Mark Marvin 15 Becker-Kern, Peter 9 Magdziarz, Marcin 8 Nane, Erkan 7 Straka, Peter 7 Xiao, Yimin 6 Bäumer, Boris 6 Scheffler, Hans-Peter 5 Barczy, Mátyás 5 Didier, Gustavo 5 Wang, Wensheng 4 Pap, Gyula 4 Scalas, Enrico 3 Abry, Patrice 3 Anh, Vo V. 3 Hazod, Wilfried 3 Huang, Jianfei 3 Kevei, Péter 3 Lv, Longjin 3 Ricciuti, Costantino 3 Ruiz-Medina, María Dolores 3 Schilling, René Leander 3 Teuerle, Marek A. 3 Żebrowski, Piotr 2 Angulo, José Miguel 2 Berkes, István 2 Burrage, Kevin 2 Cénac, Peggy 2 Chen, Zhenlong 2 de Loynes, Basile 2 Hou, Yanyan 2 Lage, Svenja 2 Leonenko, Nikolai N. 2 Mengütürk, Levent Ali 2 Milewski, Slawomir 2 Offret, Yoann 2 Pipiras, Vladas 2 Szczotka, Władysław 2 Toaldo, Bruno 2 Toniazzi, Lorenzo 2 Vellaisamy, Palaniappan 2 Viles, Noèlia 2 Wang, Luna 2 Wedrich, Lina 2 Yang, Dandan 2 Zorawik, Tomasz 1 Abbas, Muhammad Mohsin 1 Aït-Sahalia, Yacine 1 Băleanu, Dumitru I. 1 Barkai, Eli 1 Basrak, Bojan 1 Beghin, Luisa 1 Bhatti, T. 1 Boniece, B. Cooper 1 Bouzar, Nadjib 1 Brück, Florian 1 Brugnano, Luigi 1 Bueno-Orovio, Alfonso 1 Busani, Ofer 1 Cao, Xianxian 1 Cao, Xuenian 1 Carnaffan, Sean 1 Cen, Zhongdi 1 Chi, Zhiyi 1 Choquet, Catherine 1 Cohen, Serge 1 Cushman, John H. 1 Deng, Changsong 1 Deng, Weihua 1 Divanji, Gooty 1 Du, Qiang 1 Duan, Jinqiao 1 Dupret, Jean-Loup 1 Fan, Liangzhong 1 Fjellström, Carmina 1 Floriani, Elena 1 Foss, Sergey G. 1 Franzke, Christian L. E. 1 Freitas, Adelaide Valente 1 Gan, Wenzhen 1 Ghosh, Arka Prasanna 1 Gong, Qi 1 Gozlan, Nathael 1 Guan, Zhen 1 Györfi, László 1 Hainaut, Donatien 1 Hänggi, Peter 1 Hees, Katharina 1 Henry, Bruce I. 1 Hildebrandt, Florian 1 Hörmann, Siegfried 1 Huang, Qiao 1 Huang, Yuanfei 1 Hüsler, Jürg 1 Hwang, Kyo-Shin 1 Jacod, Jean 1 Jacquier, Antoine 1 Jara, Milton D. 1 Jay, Laurent-Olivier 1 Jia, Jinhong ...and 118 more Authors all top 5 Cited in 71 Serials 16 Stochastic Processes and their Applications 12 Statistics & Probability Letters 12 Journal of Theoretical Probability 6 Computers & Mathematics with Applications 6 Fractional Calculus & Applied Analysis 5 Stochastic Analysis and Applications 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 4 The Annals of Probability 4 Proceedings of the American Mathematical Society 3 Journal of Applied Probability 3 Probability and Mathematical Statistics 3 Numerical Algorithms 3 Extremes 3 Journal of Physics A: Mathematical and Theoretical 2 Advances in Applied Probability 2 Journal of Mathematical Physics 2 Lithuanian Mathematical Journal 2 Physica A 2 Journal of Multivariate Analysis 2 Transactions of the American Mathematical Society 2 The Annals of Applied Probability 2 Bernoulli 2 Statistical Inference for Stochastic Processes 2 Brazilian Journal of Probability and Statistics 2 Stochastics and Dynamics 2 Journal of Applied Mathematics and Computing 2 Mathematical Modelling of Natural Phenomena 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Theory of Probability and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Computation 1 BIT 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Semigroup Forum 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Computational Statistics and Data Analysis 1 Potential Analysis 1 Test 1 Theory of Probability and Mathematical Statistics 1 Applicationes Mathematicae 1 Electronic Journal of Probability 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Probability in the Engineering and Informational Sciences 1 Methodology and Computing in Applied Probability 1 Quantitative Finance 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Frontiers of Mathematics in China 1 SIAM Journal on Financial Mathematics 1 Advances in Mathematical Physics 1 International Journal of Stochastic Analysis 1 Journal of Mathematics all top 5 Cited in 25 Fields 136 Probability theory and stochastic processes (60-XX) 34 Partial differential equations (35-XX) 21 Real functions (26-XX) 20 Numerical analysis (65-XX) 17 Statistical mechanics, structure of matter (82-XX) 11 Statistics (62-XX) 7 Measure and integration (28-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Abstract harmonic analysis (43-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year