E. Zhizhina

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math.AP2025

Periodic homogenization of convolution type operators with heavy tails

Andrey Piatnitski, Elena Zhizhina

The paper deals with periodic homogenization of nonlocal symmetric convolution type operators in $L^{2} (R^{d})$ , whose kernel is the product of a density that belongs to the do…

math.AP2024

Operator estimates in homogenization of Lévy-type operators with periodic coefficients

Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

The paper deals with homogenization of self-adjoint operators in $L_{2} (R^{d})$ of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps) \frac{\left( u(\x) -…