Search Results - "Marynych, Alexander"

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  1. 1

    Random walks with sticky barriers by Bohun, Vladyslav, Marynych, Alexander

    “…A new class of multidimensional locally perturbed random walks called random walks with sticky barriers is introduced and analyzed. The laws of large numbers…”
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  2. 2

    Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree by Iksanov, Alexander, Marynych, Alexander, Rashytov, Bohdan

    Published in Lithuanian mathematical journal (01-10-2022)
    “…Consider a general branching process, a.k.a. Crump–Mode–Jagers process, generated by a perturbed random walk η 1 , ξ 1  +  η 2 , ξ 1  +  ξ 2  +  η 3 , …, where…”
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  3. 3

    Arithmetic properties of multiplicative integer-valued perturbed random walks by Bohdanskyi, Victor, Bohun, Vladyslav, Marynych, Alexander, Samoilenko, Igor

    “…Let $({\xi _{1}},{\eta _{1}})$, $({\xi _{2}},{\eta _{2}}),\dots $ be independent identically distributed ${\mathbb{N}^{2}}$-valued random vectors with…”
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  4. 4

    Critical branching processes in a sparse random environment by Buraczewski, Dariusz, Dong, Congzao, Iksanov, Alexander, Marynych, Alexander

    “…We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random…”
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  5. 5

    The laws of iterated and triple logarithms for extreme values of regenerative processes by Marynych, Alexander, Matsak, Ivan

    “…We analyze almost sure asymptotic behavior of extreme values of a regenerative process. We show that under certain conditions a properly centered and…”
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  6. 6

    A functional limit theorem for random processes with immigration in the case of heavy tails by Marynych, Alexander, Verovkin, Glib

    “…Let $(X_{k},\xi _{k})_{k\in \mathbb{N}}$ be a sequence of independent copies of a pair $(X,\xi )$ where X is a random process with paths in the Skorokhod space…”
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  7. 7

    Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks by Kabluchko, Zakhar, Marynych, Alexander

    Published in Probability theory and related fields (01-12-2022)
    “…Let ξ 1 , ξ 2 , … be a sequence of independent copies of a random vector in R d having an absolutely continuous distribution. Consider a random walk S i : = ξ…”
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  8. 8

    Facial structure of strongly convex sets generated by random samples by Marynych, Alexander, Molchanov, Ilya

    Published in Advances in mathematics (New York. 1965) (24-02-2022)
    “…The K-hull of a compact set A⊆Rd, where K⊆Rd is a fixed compact convex body, is the intersection of all translates of K that contain A. A set is called…”
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  9. 9

    Divisibility properties of polynomial expressions of random integers by Kabluchko, Zakhar, Marynych, Alexander

    Published in Journal of number theory (01-06-2024)
    “…We study divisibility properties of a set {f1(Un(s)),…,fm(Un(s))}, where f1,…,fm are polynomials in s variables over Z and Un(s) is a point picked uniformly at…”
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  10. 10

    Random Sieves and Generalized Leader-election Procedures by Dong, Congzao, Marynych, Alexander, Melnykov, Viacheslav

    “…A random sieve of the set of positive integers N is an infinite sequence of nested subsets N = S0 ⊃ S1 ⊃ S2 ⊃ · · · such that Sk is obtained from Sk−1 by…”
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  11. 11

    Mod-φ convergence of Stirling distributions and limit theorems for zeros of their generating functions by Kabluchko, Zakhar, Marynych, Alexander, Pitters, Helmut

    “…We study mod-φ convergence of several probability distributions on the set of positive integers that involve Stirling numbers of both kinds and, as a…”
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  12. 12

    Random walks in the high-dimensional limit II: The crinkled subordinator by Kabluchko, Zakhar, Marynych, Alexander, Raschel, Kilian

    “…A crinkled subordinator is an ℓ2-valued random process which can be thought of as a version of the usual one-dimensional subordinator with each out of…”
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  13. 13

    Cones generated by random points on half-spheres and convex hulls of Poisson point processes by Kabluchko, Zakhar, Marynych, Alexander, Temesvari, Daniel, Thäle, Christoph

    Published in Probability theory and related fields (01-12-2019)
    “…Let U 1 , U 2 , … be random points sampled uniformly and independently from the d -dimensional upper half-sphere. We show that, as n → ∞ , the f -vector of the…”
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  14. 14

    Solutions of kinetic-type equations with perturbed collisions by Buraczewski, Dariusz, Dyszewski, Piotr, Marynych, Alexander

    “…We study a class of kinetic-type differential equations ∂ϕt/∂t+ϕt=Q̂ϕt, where Q̂ is an inhomogeneous smoothing transform and, for every t≥0, ϕt is the…”
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  15. 15

    Moderate parts in regenerative compositions: The case of regular variation by Buraczewski, Dariusz, Dovgay, Bohdan, Marynych, Alexander

    “…A regenerative random composition of integer n is constructed by allocating n standard exponential points over a countable number of intervals, comprising the…”
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  16. 16

    Multivariate Multiplicative Functions of Uniform Random Vectors in Large Integer Domains by Kabluchko, Zakhar, Marynych, Alexander, Raschel, Kilian

    Published in Resultate der Mathematik (01-10-2023)
    “…For a wide class of sequences of integer domains D n ⊂ N d , n ∈ N , we prove distributional limit theorems for F ( X 1 ( n ) , … , X d ( n ) ) , where F is a…”
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  17. 17

    GENERAL EDGEWORTH EXPANSIONS WITH APPLICATIONS TO PROFILES OF RANDOM TREES by Kabluchko, Zakhar, Marynych, Alexander, Sulzbach, Henning

    Published in The Annals of applied probability (01-12-2017)
    “…We prove an asymptotic Edgeworth expansion for the profiles of certain random trees including binary search trees, random recursive trees and plane-oriented…”
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  18. 18

    Functional limit theorems for the number of occupied boxes in the Bernoulli sieve by Alsmeyer, Gerold, Iksanov, Alexander, Marynych, Alexander

    “…The Bernoulli sieve is the infinite Karlin “balls-in-boxes” scheme with random probabilities of stick-breaking type. Assuming that the number of placed balls…”
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  20. 20

    Central limit theorem for the least common multiple of a uniformly sampled m-tuple of integers by Buraczewski, Dariusz, Iksanov, Alexander, Marynych, Alexander

    Published in Journal of number theory (01-04-2022)
    “…Let Bn(m) be a set picked uniformly at random among all m-elements subsets of {1,2,…,n}. We provide a pathwise construction of the collection (Bn(m))1⩽m⩽n and…”
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