Dear Colleagues,

We would like to invite you to the following Probability seminar 
that will take place on July 9 at 14.30 by the zoom platform.
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Speaker: Wioletta Ruszel (University of Utrecht)
Title:  Local central limit theorem and potential kernel estimates for a class of symmetric heavy-tailed random variables.
09 JULY (Friday) - 14:30  zoom link: TBA
available on the  webpage  https://www.math.unipd.it/~bianchi/seminari/ )

Abstract: In this talk we will discuss stable local limit theorems and potential kernel estimates. In particular we consider a class of heavy-tailed random variables on Z in the domain of attraction of an -stable random variable of index \alpha \in (0, 2) satisfying a certain expansion of their characteristic function expansion. Our results include sharp convergence rates for the local (stable) central limit theorem, a detailed expansion of the characteristic function of a long-range random walk with transition and detailed asymptotic estimates of the discrete potential kernel. This is joint work with Leandro Chiarini (UU) and Milton Jara (IMPA) and is based on arXiv.com/2101.01609.

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Alessandra Bianchi
Dip. di Matematica
Università di Padova

Via Trieste, 63 - 35121 Padova, Italy

phone:    +39 049 827 14 06
fax:        +39 049 827 14 28
e-mail:    bianchi@math.unipd.it
http://www.math.unipd.it/~bianchi/