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All issues ESAIM: PS, 12 (2008) 412-437 Article references

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The hierarchy of exit times of Lévy-driven Langevin equations

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DOI: 10.1140/epjst/e2010-01351-7
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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
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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
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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
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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
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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
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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
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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/j.spa.2017.09.003
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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
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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
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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
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FIRST EXIT TIMES OF SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY MULTIPLICATIVE LÉVY NOISE WITH HEAVY TAILS

ILYA PAVLYUKEVICH
Stochastics and Dynamics 11 (02n03) 495 (2011)
DOI: 10.1142/S0219493711003413
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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
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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
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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
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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
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