Search Results - "Iksanov, Alexander"

On nested infinite occupancy scheme in random environment by Gnedin, Alexander, Iksanov, Alexander

“…We consider an infinite balls-in-boxes occupancy scheme with boxes organised in nested hierarchy, and random probabilities of boxes defined in terms of…”
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Precise Tail Behaviour of Some Dirichlet Series by Iksanov, Alexander, Wachtel, Vitali

“…Let η 1 , η 2 , … be independent copies of a random variable η with zero mean and finite variance which is bounded from the right, that is, η ≤ b almost surely…”
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A law of the iterated logarithm for small counts in Karlin’s occupancy scheme by Iksanov, Alexander, Kotelnikova, Valeriya

“…In the Karlin infinite occupancy scheme, balls are thrown independently into an infinite array of boxes $1,2,\dots $ , with probability ${p_{k}}$ of hitting…”
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On multidimensional locally perturbed standard random walks by Dong, Congzao, Iksanov, Alexander, Pilipenko, Andrey

“…Let d be a positive integer, and let A be a set in Z d that contains finitely many points with integer coordinates. We consider a standard random walk X…”
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Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree by Iksanov, Alexander, Marynych, Alexander, Rashytov, Bohdan

“…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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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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The Bernoulli Sieve Revisited by Gnedin, Alexander V., Iksanov, Alexander M., Negadajlov, Pavlo, Rösler, Uwe

“…We consider an occupancy scheme in which "balls" are identified with n points sampled from the standard exponential distribution, while the role of "boxes" is…”
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A Limit Theorem for a Nested Infinite Occupancy Scheme in Random Environment by Braganets, Oksana, Iksanov, Alexander

“…We investigate an infinite balls-in-boxes scheme, in which boxes are arranged in nested hierarchy and random probabilities of boxes are defined in terms of…”
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On a skew stable Lévy process by Iksanov, Alexander, Pilipenko, Andrey

“…The skew Brownian motion is a strong Markov process which behaves like a Brownian motion until hitting zero and exhibits an asymmetry at zero. We address the…”
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Small counts in nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions by Iksanov, Alexander, Kotelnikova, Valeriya

“…A nested Karlin’s occupancy scheme is a symbiosis of classical Karlin’s balls-in-boxes scheme and a weighted branching process. To define it, imagine a…”
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Functional limit theorems for discounted exponential functional of random walk and discounted convergent perpetuity by Iksanov, Alexander, Kondratenko, Oleh

“…Let (ξ1,η1), (ξ2,η2),… be independent and identically distributed R2-valued random vectors. Put S0≔0 and Sk≔ξ1+…+ξk for k∈N. We prove a functional central…”
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Functional limit theorems for renewal shot noise processes with increasing response functions by Iksanov, Alexander

“…We consider renewal shot noise processes with response functions which are eventually nondecreasing and regularly varying at infinity. We prove weak…”
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A FUNCTIONAL LIMIT THEOREM FOR GENERAL SHOT NOISE PROCESSES by IKSANOV, ALEXANDER, RASHYTOV, BOHDAN

“…By a general shot noise process we mean a shot noise process in which the counting process of shots is arbitrary locally finite. Assuming that the counting…”
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Late levels of nested occupancy scheme in random environment by Iksanov, Alexander, Mallein, Bastien

“…Consider a weighted branching process generated by a point process on whose atoms sum up to one. Then the weights of all individuals in any given generation…”
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WEAK CONVERGENCE OF RANDOM PROCESSES WITH IMMIGRATION AT RANDOM TIMES by DONG, CONGZAO, IKSANOV, ALEXANDER

“…By a random process with immigration at random times we mean a shot noise process with a random response function (response process) in which shots occur at…”
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A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions by Iksanov, Alexander, Kabluchko, Zakhar, Kotelnikova, Valeriya

“…Let (pk)k∈N be a discrete probability distribution for which the counting function x↦#{k∈N:pk≥1/x} belongs to the de Haan class Π. Consider a deterministic…”
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A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk by Iksanov, Alexander, Kabluchko, Zakhar

“…Let (W n (θ)) n∈ℕ0 be the Biggins martingale associated with a supercritical branching random walk, and denote by W_∞(θ) its limit. Assuming essentially that…”
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Weak convergence of the number of vertices at intermediate levels of random recursive trees by Iksanov, Alexander, Kabluchko, Zakhar

“…Let Xn(k) be the number of vertices at level k in a random recursive tree with n+1 vertices. We are interested in the asymptotic behavior of Xn(k) for…”
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Functional limit theorems for Galton–Watson processes with very active immigration by Iksanov, Alexander, Kabluchko, Zakhar

“…We prove weak convergence on the Skorokhod space of Galton–Watson processes with immigration, properly normalized, under the assumption that the tail of the…”
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On the number of empty boxes in the Bernoulli sieve II by Iksanov, Alexander

“…The Bernoulli sieve is the infinite “balls-in-boxes” occupancy scheme with random frequencies Pk=W1⋯Wk−1(1−Wk), where (Wk)k∈N are independent copies of a…”
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