P. Hitczenko

activity

19942025

most citedThe Poincare map of randomly perturbed periodic motion

22 citations · 114 across the 29 of their papers we have counts for

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Showing math.PRShow all

9 papers · 1 filter

math.PR2025

Expected number of jumps and the number of active particles in TASEP

Paweł Hitczenko, Jacek Wesołowski

For a TASEP on $Z$ with the step initial condition we identify limits as $t \to \infty$ of the expected total number of jumps until time $t > 0$ and the expected number of acti…

math.PR2023★ 1 cited

Multivariate asymptotic normality determined by high moments

Pawel HItczenko, Nick Wormald

We extend a general result showing that the asymptotic behavior of high moments, factorial or standard, of random variables, determines the asymptotically normality, from the one d…

math.PR2019

Asymptotics of the overflow in urn models

Raul Gouet, Paweł Hitczenko, Jacek Wesołowski

Consider a number, finite or not, of urns each with fixed capacity $r$ and balls randomly distributed among them. An overflow is the number of balls that are assigned to urns that…

math.PR2012

Perpetuity property of the Dirichlet distribution

Pawel Hitczenko, Gerard Letac

Let $X$ , $B$ and $Y$ be three Dirichlet, Bernoulli and beta independent random variables such that $X \sim D (a_{0}, ..., a_{d}),$ such that $Pr (B = (0, ..., 0, 1, 0, ..., 0)) = a_{i} / a$ wi…

math.PR2011★ 2 cited

Convergence to type I distribution of the extremes of sequences defined by random difference equation

Pawel Hitczenko

We study the extremes of a sequence of random variables $(R_{n})$ defined by the recurrence $R_{n} = M_{n} R_{n - 1} + q$ , $n \geq 1$ , where $R_{0}$ is arbitrary, $(M_{n})$ are iid copies of a non--de…

math.PR2009★ 21 cited

Perpetuities with thin tails revisited

Paweł Hitczenko, Jacek Wesołowski

We consider the tail behavior of random variables $R$ which are solutions of the distributional equation $R = d Q + M R$ , where $(Q, M)$ is independent of $R$ and $∣ M ∣ \leq 1$ .…