Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

The hierarchy of exit times of Lévy-driven Langevin equations

P. Imkeller, I. Pavlyukevich and T. Wetzel
The European Physical Journal Special Topics 191 (1) 211 (2010)
DOI: 10.1140/epjst/e2010-01351-7
See this article

Abrupt Convergence for Stochastic Small Perturbations of One Dimensional Dynamical Systems

G. Barrera and M. Jara
Journal of Statistical Physics 163 (1) 113 (2016)
DOI: 10.1007/s10955-016-1468-1
See this article

Spectral Analysis for a Discrete Metastable System Driven by Lévy Flights

Toralf Burghoff and Ilya Pavlyukevich
Journal of Statistical Physics 161 (1) 171 (2015)
DOI: 10.1007/s10955-015-1313-y
See this article

Lévy ratchet in a weak noise limit: Theory and simulation

I. Pavlyukevich, B. Dybiec, A.V. Chechkin and I.M. Sokolov
The European Physical Journal Special Topics 191 (1) 223 (2010)
DOI: 10.1140/epjst/e2010-01352-6
See this article

Stochastic Resonance in Systems Driven by α-Stable Lévy Noise

Isabelle Kuhwald and Ilya Pavlyukevich
Procedia Engineering 144 1307 (2016)
DOI: 10.1016/j.proeng.2016.05.129
See this article

The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise

Arnaud Debussche, Michael Högele and Peter Imkeller
Lecture Notes in Mathematics, The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise 2085 1 (2013)
DOI: 10.1007/978-3-319-00828-8_1
See this article

Directed transport induced by spatially modulated Lévy flights

Ilya Pavlyukevich, Yongge Li, Yong Xu and Aleksei Chechkin
Journal of Physics A: Mathematical and Theoretical 48 (49) 495004 (2015)
DOI: 10.1088/1751-8113/48/49/495004
See this article

Transportation distances and noise sensitivity of multiplicative Lévy SDE with applications

Jan Gairing, Michael Högele and Tetiana Kosenkova
Stochastic Processes and their Applications 128 (7) 2153 (2018)
DOI: 10.1016/
See this article

Stochastic resonance with multiplicative heavy-tailed Lévy noise: Optimal tuning on an algebraic time scale

Isabelle Kuhwald and Ilya Pavlyukevich
Stochastics and Dynamics 17 (04) 1750027 (2017)
DOI: 10.1142/S0219493717500277
See this article

Coupling distances between Lévy measures and applications to noise sensitivity of SDE

Jan Gairing, Michael Högele, Tetiana Kosenkova and Alexei Kulik
Stochastics and Dynamics 15 (02) 1550009 (2015)
DOI: 10.1142/S0219493715500094
See this article

Bistable behaviour of a jump-diffusion driven by a periodic stable-like additive process

Ilya Pavlyukevich and Isabelle Kuhwald
Discrete and Continuous Dynamical Systems - Series B 21 (9) 3175 (2016)
DOI: 10.3934/dcdsb.2016092
See this article


Stochastics and Dynamics 11 (02n03) 495 (2011)
DOI: 10.1142/S0219493711003413
See this article

Metastability in a class of hyperbolic dynamical systems perturbed by heavy-tailed Lévy type noise

Michael Högele and Ilya Pavlyukevich
Stochastics and Dynamics 15 (03) 1550019 (2015)
DOI: 10.1142/S0219493715500197
See this article

Stochastic basins of attraction for metastable states

Larissa Serdukova, Yayun Zheng, Jinqiao Duan and Jürgen Kurths
Chaos: An Interdisciplinary Journal of Nonlinear Science 26 (7) 073117 (2016)
DOI: 10.1063/1.4959146
See this article

Space‐time fractional Dirichlet problems

Boris Baeumer, Tomasz Luks and Mark M. Meerschaert
Mathematische Nachrichten 291 (17-18) 2516 (2018)
DOI: 10.1002/mana.201700111
See this article

First Exit Times of Non-linear Dynamical Systems in ℝ d Perturbed by Multifractal Lévy Noise

Peter Imkeller, Ilya Pavlyukevich and Michael Stauch
Journal of Statistical Physics 141 (1) 94 (2010)
DOI: 10.1007/s10955-010-0041-6
See this article