69 citations · 85 across the 26 of their papers we have counts for
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math.PR2020
Analytic proof of multivariate stable local large deviations and application to deterministic dynamical systems
Ian Melbourne, Dalia Terhesiu
We give a short analytic proof of local large deviations for i.i.d. random variables in the domain of a multivariate -stable law, . Our method simultaneously…
math.PR2020
Strong renewal theorem and local limit theorem in the absence of regular variation
Peter Kevei, Dalia Terhesiu
We obtain a strong renewal theorem with infinite mean beyond regular variation, when the underlying distribution belongs to the domain of geometric partial attraction a semistable…
math.DS2020★ 15 cited
Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon
Francoise Pène, Dalia Terhesiu
We obtain sharp error rates in the local limit theorem for the Sinai billiard map (one and two dimensional) with infinite horizon. This result allows us to further obtain higher or…