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Ilya Pavlyukevich
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Lévy flights, non-local search and simulated annealing
I Pavlyukevich
journal of computational physics 226 (2), 1830-1844, 2007
7412007
First exit times of SDEs driven by stable Lévy processes
P Imkeller, I Pavlyukevich
Stochastic Processes and their Applications 116 (4), 611-642, 2006
1492006
Lévy flights: transitions and meta-stability
P Imkeller, I Pavlyukevich
Journal of Physics A: Mathematical and General 39 (15), L237, 2006
1082006
Cooling down Lévy flights
I Pavlyukevich
Journal of Physics A: Mathematical and Theoretical 40 (41), 12299, 2007
1032007
Metastable behaviour of small noise Lévy-driven diffusions
P Imkeller, I Pavlyukevich
ESAIM: Probability and Statistics 12, 412-437, 2008
612008
First exit times for Lévy-driven diffusions with exponentially light jumps
P Imkeller, I Pavlyukevich, T Wetzel
542009
First-passage properties of asymmetric Lévy flights
A Padash, AV Chechkin, B Dybiec, I Pavlyukevich, B Shokri, R Metzler
Journal of Physics A: Mathematical and Theoretical 52 (45), 454004, 2019
522019
Marcus versus Stratonovich for systems with jump noise
A Chechkin, I Pavlyukevich
Journal of Physics A: Mathematical and Theoretical 47 (34), 342001, 2014
512014
Model reduction and stochastic resonance
P Imkeller, I Pavlyukevich
Stochastics and Dynamics 2 (04), 463-506, 2002
492002
Limit Theorems for p-Variations of Solutions of SDEs Driven by Additive Stable Lévy Noise and Model Selection for Paleo-Climatic Data
C Hein, P Imkeller, I Pavlyukevich
Recent Development in Stochastic Dynamics and Stochastic Analysis, 161-175, 2010
44*2010
First exit times of solutions of stochastic differential equations driven by multiplicative Lévy noise with heavy tails
I Pavlyukevich
Stochastics and Dynamics 11 (02n03), 495-519, 2011
362011
Stochastic Resonance
S Herrmann, P Imkeller, I Pavlyukevich, D Peithmann
American Mathematical Soc., 2013
312013
Stochastic resonance
I Pavlyukevich
Logos, 2002
312002
Stochastic resonance in two-state Markov chains
P Imkeller, I Pavlyukevich
Archiv der Mathematik 77, 107-115, 2001
302001
Lévy ratchet in a weak noise limit: Theory and simulation
I Pavlyukevich, B Dybiec, AV Chechkin, IM Sokolov
The European Physical Journal Special Topics 191 (1), 223-237, 2010
292010
First Exit Times of Non-linear Dynamical Systems in ℝ d Perturbed by Multifractal Lévy Noise
P Imkeller, I Pavlyukevich, M Stauch
Journal of Statistical Physics 141, 94-119, 2010
252010
Small noise asymptotics and first passage times of integrated Ornstein–Uhlenbeck processes driven by -stable Lévy processes
R Hintze, I Pavlyukevich
232014
The hierarchy of exit times of Lévy-driven Langevin equations
P Imkeller, I Pavlyukevich, T Wetzel
The European Physical Journal Special Topics 191 (1), 211-222, 2010
232010
The exit problem from a neighborhood of the global attractor for dynamical systems perturbed by heavy-tailed Lévy processes
M Hoegele, I Pavlyukevich
Stochastic Analysis and Applications 32 (1), 163-190, 2014
202014
Random perturbations of a periodically driven nonlinear oscillator: escape from a resonance zone
N Lingala, NS Namachchivaya, I Pavlyukevich
Nonlinearity 30 (4), 1376, 2017
192017
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