Zobrazeno 1 - 10
of 311
pro vyhledávání: '"IKSANOV, ALEXANDER"'
Autor:
Iksanov, Alexander
An alternative proof is given for the main result of the article referred to in the title and published in ECP (2024). The proof exploits the theory of regenerative composition structures due to Gnedin and Pitman. The present article is a slight revi
Externí odkaz:
http://arxiv.org/abs/2412.06826
Autor:
Braganets, Oksana, Iksanov, Alexander
We investigate a nested balls-in-boxes scheme in a random environment. The boxes follow a nested hierarchy, with infinitely many boxes in each level, and the hitting probabilities of boxes are random and obtained by iterated fragmentation of a unit m
Externí odkaz:
http://arxiv.org/abs/2412.03450
Autor:
Iksanov, Alexander, Kostohryz, Ruslan
Buraczewski et al (2023) proved a functional limit theorem (FLT) and a law of the iterated logarithm (LIL) for a random Dirichlet series $\sum_{k\geq 2}(\log k)^\alpha k^{-1/2-s}\eta_k$ as $s\to 0+$, where $\alpha>-1/2$ and $\eta_1$, $\eta_2,\ldots$
Externí odkaz:
http://arxiv.org/abs/2411.02362
Autor:
Iksanov, Alexander, Jedidi, Wissem
The points of the closed range of a drift-free subordinator with no killing are used for separating into blocks the elements of a sample of size $n$ from the standard exponential distribution. This gives rise to a random composition of $n$. Assuming
Externí odkaz:
http://arxiv.org/abs/2406.08370
For a right-continuous nondecreasing and unbounded function $V$ of at most exponential growth, which vanishes on the negative halfline, we investigate the asymptotic behavior of the Lebesgue-Stieltjes convolution powers $V^{\ast(j)}(t)$ as both $j$ a
Externí odkaz:
http://arxiv.org/abs/2404.04955
We introduce multinomial and $r$-variants of several classic objects of combinatorial probability, such as the random recursive and Hoppe trees, random set partitions and compositions, the Chinese restaurant process, Feller's coupling, and some other
Externí odkaz:
http://arxiv.org/abs/2403.16448
Let $S_{n}=\sum_{k=1}^{n}\xi_{k}$, $n\in\mathbb{N}$, be a standard random walk with i.i.d. nonnegative increments $\xi_{1},\xi_{2},\ldots$ and associated renewal counting process $N(t)=\sum_{n\ge 1}1_{\{S_{n}\le t\}}$, $t\ge 0$. A decoupling of $(S_{
Externí odkaz:
http://arxiv.org/abs/2402.05488
Let $d$ be a positive integer and $A$ a set in $\mathbb{Z}^d$, which contains finitely many points with integer coordinates. We consider $X$ a standard random walk perturbed on the set $A$, that is, a Markov chain whose transition probabilities from
Externí odkaz:
http://arxiv.org/abs/2312.15806
Autor:
Iksanov, Alexander, Wachtel, Vitali
Let $\eta_1$, $\eta_2,\ldots$ be independent copies of a random variable $\eta$ with zero mean and finite variance which is bounded from the right, that is, $\eta\leq b$ almost surely for some $b>0$. Considering different types of the asymptotic beha
Externí odkaz:
http://arxiv.org/abs/2310.10097
In the Karlin infinite occupancy scheme, balls are thrown independently into an infinite array of boxes $1$, $2,\ldots$, with probability $p_k$ of hitting the box $k$. For $j,n\in\mathbb{N}$, denote by $\mathcal{K}^*_j(n)$ the number of boxes contain
Externí odkaz:
http://arxiv.org/abs/2310.06087