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math.AP2014★ 1 cited
Oscillatory Survival Probability: Analytical, Numerical Study for oscillatory narrow escape and applications to neural network dynamics
K. Dao Duc, Z. Schuss, D. Holcman
We study the escape of Brownian motion from the domain of attraction of a stable focus with a strong drift. The boundary of is an unstable limit cycle of the d…
math.AP2014
Oscillatory survival probability and eigenvalues of the non-self adjoint Fokker-Planck operator
David Holcman, Zeev Schuss
We demonstrate the oscillatory decay of the survival probability of the stochastic dynamics $d\x_\eps=\mb{a}(\x_\eps)\, dt +\sqrt{2\eps}\,\mb{b}(\x_\eps)\,d\w$, which is activated…