# zbMATH — the first resource for mathematics

## Klenke, Achim

Compute Distance To:
 Author ID: klenke.achim Published as: Klenke, Achim; Klenke, A. External Links: MGP · Wikidata · GND
 Documents Indexed: 36 Publications since 1996, including 6 Books Reviewing Activity: 46 Reviews
all top 5

#### Co-Authors

 15 single-authored 5 Mytnik, Leonid 3 Cox, J. Theodore 3 Fleischmann, Klaus 3 Greven, Andreas 3 Wakolbinger, Anton 2 Mörters, Peter 2 van der Hofstad, Remco W. 1 Bäuerle, Nicole 1 Dehling, Herold G. 1 Döring, Leif 1 Kersting, Götz-Dietrich 1 König, Wolfgang Dieter 1 Kreiss, Jens-Peter 1 Mattner, Lutz 1 Oeler, Mario 1 Perkins, Edwin A. 1 Xiong, Jie
all top 5

#### Serials

 7 The Annals of Probability 5 The Annals of Applied Probability 4 Stochastic Processes and their Applications 3 Probability Theory and Related Fields 3 Universitext 2 Journal of Statistical Physics 1 Advances in Applied Probability 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Metrika 1 Journal of Theoretical Probability 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Journal of Probability 1 Masterclass
all top 5

#### Fields

 34 Probability theory and stochastic processes (60-XX) 5 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 318 times in 262 Documents Cited by Year
Probability theory. A comprehensive course. 2nd extended ed. Zbl 1295.60001
Klenke, Achim
2014
Probability theory. A comprehensive course. Zbl 1141.60001
Klenke, Achim
2008
A review on spatial catalytic branching. Zbl 0956.60096
Klenke, Achim
2000
Probability theory. (Wahrscheinlichkeitstheorie.) Zbl 1103.60001
Klenke, Achim
2006
Stochastic ordering of classical discrete distributions. Zbl 1197.60017
Klenke, Achim; Mattner, Lutz
2010
Convergence to equilibrium and linear systems duality. Zbl 0955.60098
Cox, J. Theodore; Klenke, Achim; Perkins, Edwin A.
2000
Probability theory. 2nd revised ed. (Wahrscheinlichkeitstheorie.) Zbl 1146.60001
Klenke, Achim
2008
Smooth density field of catalytic super-Brownian motion. Zbl 0942.60082
Fleischmann, Klaus; Klenke, Achim
1999
The multifractal spectrum of Brownian intersection local times. Zbl 1080.60078
Klenke, Achim; Mörters, Peter
2005
Different clustering regimes in systems of hierarchically interacting diffusions. Zbl 0862.60096
Klenke, Achim
1996
Recurrence and ergodicity of interacting particle systems. Zbl 0954.60095
Cox, J. Theodore; Klenke, Achim
2000
Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior. Zbl 1244.60088
Klenke, Achim; Mytnik, Leonid
2012
A Trotter-type approach to infinite rate mutually catalytic branching. Zbl 1191.60112
Klenke, Achim; Oeler, Mario
2010
Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence. Zbl 1266.60160
Klenke, Achim; Mytnik, Leonid
2012
Multiple scale analysis of clusters in spatial branching models. Zbl 0909.60078
Klenke, Achim
1997
Infinite rate mutually catalytic branching. Zbl 1204.60081
Klenke, Achim; Mytnik, Leonid
2010
The longtime behavior of branching random walk in a catalytic medium. Zbl 0930.60090
Greven, A.; Klenke, A.; Wakolbinger, A.
1999
Clustering and invariant measures for spatial branching models with infinite variance. Zbl 0938.60086
Klenke, Achim
1998
Interacting Fisher-Wright diffusions in a catalytic medium. Zbl 0987.92023
Greven, Andreas; Klenke, Achim; Wakolbinger, Anton
2001
The biodiversity of catalytic super-Brownian motion. Zbl 1073.60055
Fleischmann, Klaus; Klenke, Achim
2000
Probability theory. A comprehensive course. 3rd revised and expanded edition. Zbl 1451.60003
Klenke, Achim
2020
Pathwise convergence of a rescaled super-Brownian catalyst reactant process. Zbl 1119.60080
Fleischmann, Klaus; Klenke, Achim; Xiong, Jie
2006
The critical attractive random polymer in dimension one. Zbl 1001.82124
van der Hofstad, Remco; Klenke, Achim; König, Wolfgang
2002
Absolute continuity of catalytic measure-valued branching processes. Zbl 1045.60036
Klenke, Achim
2000
Interacting diffusions in a random medium: comparison and longtime behavior. Zbl 1058.60089
Greven, A.; Klenke, A.; Wakolbinger, A.
2002
Self-attractive random polymers. Zbl 1043.60016
van der Hofstad, Remco; Klenke, Achim
2001
Catalytic branching and the Brownian snake. Zbl 1075.60569
Klenke, Achim
2003
Rescaled interacting diffusions converge to super Brownian motion. Zbl 1030.60090
Cox, J. Theodore; Klenke, Achim
2003
Probability theory. A comprehensive course. 3rd revised and expanded edition. Zbl 1451.60003
Klenke, Achim
2020
Probability theory. A comprehensive course. 2nd extended ed. Zbl 1295.60001
Klenke, Achim
2014
Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior. Zbl 1244.60088
Klenke, Achim; Mytnik, Leonid
2012
Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence. Zbl 1266.60160
Klenke, Achim; Mytnik, Leonid
2012
Stochastic ordering of classical discrete distributions. Zbl 1197.60017
Klenke, Achim; Mattner, Lutz
2010
A Trotter-type approach to infinite rate mutually catalytic branching. Zbl 1191.60112
Klenke, Achim; Oeler, Mario
2010
Infinite rate mutually catalytic branching. Zbl 1204.60081
Klenke, Achim; Mytnik, Leonid
2010
Probability theory. A comprehensive course. Zbl 1141.60001
Klenke, Achim
2008
Probability theory. 2nd revised ed. (Wahrscheinlichkeitstheorie.) Zbl 1146.60001
Klenke, Achim
2008
Probability theory. (Wahrscheinlichkeitstheorie.) Zbl 1103.60001
Klenke, Achim
2006
Pathwise convergence of a rescaled super-Brownian catalyst reactant process. Zbl 1119.60080
Fleischmann, Klaus; Klenke, Achim; Xiong, Jie
2006
The multifractal spectrum of Brownian intersection local times. Zbl 1080.60078
Klenke, Achim; Mörters, Peter
2005
Catalytic branching and the Brownian snake. Zbl 1075.60569
Klenke, Achim
2003
Rescaled interacting diffusions converge to super Brownian motion. Zbl 1030.60090
Cox, J. Theodore; Klenke, Achim
2003
The critical attractive random polymer in dimension one. Zbl 1001.82124
van der Hofstad, Remco; Klenke, Achim; König, Wolfgang
2002
Interacting diffusions in a random medium: comparison and longtime behavior. Zbl 1058.60089
Greven, A.; Klenke, A.; Wakolbinger, A.
2002
Interacting Fisher-Wright diffusions in a catalytic medium. Zbl 0987.92023
Greven, Andreas; Klenke, Achim; Wakolbinger, Anton
2001
Self-attractive random polymers. Zbl 1043.60016
van der Hofstad, Remco; Klenke, Achim
2001
A review on spatial catalytic branching. Zbl 0956.60096
Klenke, Achim
2000
Convergence to equilibrium and linear systems duality. Zbl 0955.60098
Cox, J. Theodore; Klenke, Achim; Perkins, Edwin A.
2000
Recurrence and ergodicity of interacting particle systems. Zbl 0954.60095
Cox, J. Theodore; Klenke, Achim
2000
The biodiversity of catalytic super-Brownian motion. Zbl 1073.60055
Fleischmann, Klaus; Klenke, Achim
2000
Absolute continuity of catalytic measure-valued branching processes. Zbl 1045.60036
Klenke, Achim
2000
Smooth density field of catalytic super-Brownian motion. Zbl 0942.60082
Fleischmann, Klaus; Klenke, Achim
1999
The longtime behavior of branching random walk in a catalytic medium. Zbl 0930.60090
Greven, A.; Klenke, A.; Wakolbinger, A.
1999
Clustering and invariant measures for spatial branching models with infinite variance. Zbl 0938.60086
Klenke, Achim
1998
Multiple scale analysis of clusters in spatial branching models. Zbl 0909.60078
Klenke, Achim
1997
Different clustering regimes in systems of hierarchically interacting diffusions. Zbl 0862.60096
Klenke, Achim
1996
all top 5

#### Cited by 419 Authors

 16 Klenke, Achim 15 Fleischmann, Klaus 9 Hutzenthaler, Martin 9 Trutschnig, Wolfgang 8 Jentzen, Arnulf 7 Fernández-Sánchez, Juan 7 Mytnik, Leonid 6 Greven, Andreas 6 Mörters, Peter 5 Dawson, Donald Andrew 4 Van Brummelen, Harald 4 Xiong, Jie 3 Abdelmalik, M. R. A. 3 Anantharaman, Nalini 3 den Hollander, Frank 3 Evans, Steven Neil 3 Gloria, Antoine 3 Gorostiza, Luis G. 3 Latz, Jonas 3 Ortgiese, Marcel 3 Sabri, Mostafa 3 Talarczyk, Anna 3 Ullmann, Elisabeth 3 Wakolbinger, Anton 3 Zhou, Xiaowen 2 Allgower, Frank 2 Banerjee, Sayan 2 Bauerschmidt, Roland 2 Bayer, Florian A. 2 Bet, Gianmarco 2 Blath, Jochen 2 Bojdecki, Tomasz 2 Chandra, Tapas Kumar 2 Dai Pra, Paolo 2 Döring, Leif 2 Dufour, François 2 Engländer, János 2 Etheridge, Alison Mary 2 Fjordholm, Ulrik Skre 2 Guerra, Manuel 2 Hammer, Matthias 2 He, Hui 2 Ishiwata, Satoshi 2 Joos, Felix Claudius 2 Kabluchko, Zakhar A. 2 Kamnitui, Noppadon 2 Kawabi, Hiroshi 2 Kliem, Sandra M. 2 Kloeden, Peter Eris 2 Kruse, Raphael 2 Külske, Christof 2 Larsson, Martin 2 Liu, Jianguo 2 Lopushanski, Oleh V. 2 Minelli, Ida Germana 2 Mishra, Siddhartha 2 Müller, Matthias A. 2 Otto, Felix 2 Papaioannou, Iason 2 Perkins, Edwin A. 2 Prochno, Joscha 2 Shieh, Narn-Rueih 2 Slade, Gordon 2 Sousa, Rúben 2 Svaluto-Ferro, Sara 2 Swart, Jan M. 2 Thäle, Christoph 2 Vatutin, Vladimir Alekseevich 2 Vogt, Pascal 2 Wachtel, Vitali I. 2 Yakubovich, Semyon B. 2 Yang, Fengxia 2 Zähle, Henryk 1 Abareshi, Maryam 1 Aizenman, Michael 1 Albrecht, Peter 1 Aliev, Iskander M. 1 Amini, Hamed 1 Andersson, Adam 1 Aniello, Paolo 1 Askitis, Dimitris 1 Aslett, Louis J. M. 1 Atkinson, Michael P. 1 Attouchi, Amal 1 Aurzada, Frank 1 Ayadi, Slim 1 Azaïs, Romain 1 Bach, Francis R. 1 Barker, Adam 1 Becherer, Dirk 1 Bessac, Julie 1 Beutner, Eric 1 Biagini, Francesca 1 Bianchi, Alessandra 1 Bilarev, Todor 1 Boussaid, Nabile 1 Bru, Jean-Bernard 1 Bruner, Marie-Louise 1 Budhiraja, Amarjit S. 1 Bulté, Matthieu ...and 319 more Authors
all top 5

#### Cited in 116 Serials

 24 The Annals of Probability 19 Stochastic Processes and their Applications 13 The Annals of Applied Probability 9 Journal of Theoretical Probability 7 Journal of Mathematical Analysis and Applications 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Journal of Statistical Physics 6 Probability Theory and Related Fields 5 Journal of Mathematical Physics 5 Statistics & Probability Letters 5 Electronic Journal of Probability 5 Bernoulli 4 Journal of Applied Probability 4 Journal of Functional Analysis 4 Potential Analysis 3 Mathematics of Computation 3 Advances in Mathematics 3 Automatica 3 Journal of Statistical Planning and Inference 3 Acta Mathematica Sinica. English Series 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Electronic Journal of Statistics 2 Advances in Applied Probability 2 Journal of Computational Physics 2 Journal of Mathematical Biology 2 Applied Mathematics and Computation 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Insurance Mathematics & Economics 2 International Journal of Approximate Reasoning 2 Mathematical Programming. Series A. Series B 2 Mathematical Physics, Analysis and Geometry 2 Extremes 2 Foundations of Computational Mathematics 2 Frontiers of Mathematics in China 2 SIAM Journal on Financial Mathematics 2 Journal of Theoretical Biology 1 Acta Informatica 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Periodica Mathematica Hungarica 1 Physica A 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Fuzzy Sets and Systems 1 Information Sciences 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Journal of Mathematical Economics 1 Journal of Multivariate Analysis 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Ergodic Theory and Dynamical Systems 1 Mathematical Social Sciences 1 Stochastic Analysis and Applications 1 Journal of Complexity 1 Algorithmica 1 Queueing Systems 1 Neural Computation 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Annals of Physics 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Mathematical Analysis 1 Distributed Computing 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Theory of Probability and Mathematical Statistics 1 Combinatorics, Probability and Computing 1 Journal of Computational Neuroscience 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems 1 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Mathematical Methods of Operations Research 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Probability in the Engineering and Informational Sciences 1 Annales Henri Poincaré 1 Quantitative Finance 1 Computational Methods in Applied Mathematics 1 Stochastic Models ...and 16 more Serials
all top 5

#### Cited in 36 Fields

 172 Probability theory and stochastic processes (60-XX) 32 Statistics (62-XX) 30 Partial differential equations (35-XX) 26 Numerical analysis (65-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Biology and other natural sciences (92-XX) 15 Measure and integration (28-XX) 13 Computer science (68-XX) 13 Quantum theory (81-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Combinatorics (05-XX) 10 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 9 Operations research, mathematical programming (90-XX) 9 Systems theory; control (93-XX) 7 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 4 Number theory (11-XX) 4 Group theory and generalizations (20-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.