7 citations · 13 across the 11 of their papers we have counts for
12 papers
Rare transitions in noisy heteroclinic networks
Yuri Bakhtin, Hong-Bin Chen, Zsolt Pajor-Gyulai
We study small white noise perturbations of planar dynamical systems with heteroclinic networks in the limit of vanishing noise. We show that the probabilities of transitions betwe…
Tails of exit times from unstable equilibria on the line
Yuri Bakhtin, Zsolt Pajor-Gyulai
For a one-dimensional smooth vector field in a neighborhood of an unstable equilibrium, we consider the associated dynamics perturbed by small noise. We give a revealing elementary…
Malliavin calculus approach to long exit times from an unstable equilibrium
Yuri Bakhtin, Zsolt Pajor-Gyulai
For a one-dimensional smooth vector field in a neighborhood of an unstable equilibrium, we consider the associated dynamics perturbed by small noise. Using Malliavin calculus tools…
Scaling limit for escapes from unstable equilibria in the vanishing noise limit: nontrivial Jordan block case
Yuri Bakhtin, Zsolt Pajor-Gyulai
We consider white noise perturbations of a nonlinear dynamical system in the neighborhood of an unstable critical point with linearization given by a Jordan block of full dimension…
A fractional kinetic process describing the intermediate time behaviour of cellular flows
Martin Hairer, Gautam Iyer, Leonid Koralov +2
This paper studies the intermediate time behaviour of a small random perturbation of a periodic cellular flow. Our main result shows that on time scales shorter than the diffusive…
On dynamical systems perturbed by a null-recurrent motion: The general case
Zsolt Pajor-Gyulai, Michael Salins
We consider a perturbed ordinary differential equation where the perturbation is only significant when a one-dimensional null recurrent diffusion is close to zero. We investigate t…