Ariel Rapaport

activity

20122021

most citedPoisson and Compound Poisson Approximations in a Nonconventional Setup

6 citations · 12 across the 6 of their papers we have counts for

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math.PR2018

Geometric Law for Multiple Returns until a Hazard

Yuri Kifer, Ariel Rapaport

For a $ψ$ -mixing stationary process $ξ_{0}, ξ_{1}, ξ_{2}, ...$ we consider the number $N_{N}$ of multiple recurrencies ${ξ_{q_{i} (n)} \in Γ_{N}, i = 1, ..., ℓ}$ to a set $Γ_{N}$ for $n$ u…

math.PR2012★ 6 cited

Poisson and Compound Poisson Approximations in a Nonconventional Setup

Yuri Kifer, Ariel Rapaport

We show that for all $ψ$ -mixing shifts distributions of the numbers of multiple recurrencies to shrinking cylindrical neighborhoods of all points are close either to Poisson or to…