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math.PR2026
Persistence in perturbed contact models in continuum
S. Pirogov, E Zhizhina
Can a local disaster lead to extinction? We answer this question in this work. In the paper \cite{PZ-PPI} we considered contact processes on locally compact metric spaces with stat…
math.AP2026
Homogenization of Lévy-type operators: operator estimates with correctors
Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1
The goal of the paper is to study in a self-adjoint operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps) \…