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Discrete Mathematics & Theoretical Computer Science
In this paper infinite systems of functional equations in finitely or infinitely many random variables arising in combinatorial enumeration problems are studied. We prove sufficient conditions under which the combinatorial random variables encoded in the generating function of the system tend to a finite or infinite dimensional limiting distribution.
Ergodic Theory and Dynamical Systems
Limit theorems for numbers of multiple returns in non-conventional arrays2021 •
For a $\psi $ -mixing process $\xi _0,\xi _1,\xi _2,\ldots $ we consider the number ${\mathcal N}_N$ of multiple returns $\{\xi _{q_{i,N}(n)}\in {\Gamma }_N,\, i=1,\ldots ,\ell \}$ to a set ${\Gamma }_N$ for n until either a fixed number N or until the moment $\tau _N$ when another multiple return $\{\xi _{q_{i,N}(n)}\in {\Delta }_N,\, i=1,\ldots ,\ell \}$ , takes place for the first time where ${\Gamma }_N\cap {\Delta }_N=\emptyset $ and $q_{i,N}$ , $i=1,\ldots ,\ell $ are certain functions of n taking on non-negative integer values when n runs from 0 to N. The dependence of $q_{i,N}(n)$ on both n and N is the main novelty of the paper. Under some restrictions on the functions $q_{i,N}$ we obtain Poisson distributions limits of ${\mathcal N}_N$ when counting is until N as $N\to \infty $ and geometric distributions limits when counting is until $\tau _N$ as $N\to \infty $ . We obtain also similar results in the dynamical systems setup considering a $\psi $ -mixing shift T on a seque...
Lithuanian Mathematical Journal
Infinitely Divisible Limit Processes for the Ewens Sampling Formula2002 •
The Ewens sampling formula in population genetics can be viewed as a probability measure on the group of permutations of a finite set of integers. Functional limit theory for processes defined through partial sums of dependent variables with respect to the Ewens sampling formula is developed. Using techniques from probabilistic number theory, it is shown that, under very general conditions,
arXiv: Dynamical Systems
Limit theorems for numbers of returns in arrays under $\phi$-mixing2019 •
We consider a $\phi$-mixing shift $T$ on a sequence space $\Om$ and study the number $\cN_N$ of returns $\{ T^{q_N(n)}\om\in A^a_n\}$ at times $q_N(n)$ to a cylinder $A^a_n$ constructed by a sequence $a\in\Om$ where $n$ runs either until a fixed integer $N$ or until a time $\tau_N$ of the first return $\{ T^{q_N(n)}\om\in A^b_m\}$ to another cylinder $A^b_m$ constructed by $b\in\Om$. Here $q_N(n)$ are certain functions of $n$ taking on nonnegative integer values when $n$ runs from 0 to $N$ and the dependence on $N$ is the main generalization here which requires certain conditions under which we obtain Poisson distributions limits of $\cN_N$ when counting is until $N$ as $N\to\infty$ and geometric distributions limits when counting is until $\tau_N$ as $N\to\infty$.
Statistics & Probability Letters
Functional central limit theorems for certain statistics in an infinite urn scheme2016 •
arXiv (Cornell University)
Limit theorems for forward and backward processes of numbers of non-empty urns in infinite urn schemes2022 •
Annales De L Institut Henri Poincare-probabilites Et Statistiques
Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case2008 •
OSAKA JOURNAL OF MATHEMATICS
An analytic method in probabilistic combinatoricsWe deal with the value distribution problem for the linear combinations of multiplicities of the cycle lengths of a random permutation. To examine the characteristic functions, we derive asymptotic formulas for ratios of the Taylor coefficients of the relevant generating series. The proposed version of analytic method does not require any analytic continuation of these series outside the convergence disk.
Journal of Statistical Physics
On a Generalization of the Binomial Distribution and Its Poisson-like Limit2012 •
Scandinavian Journal of the Old Testament
Foreign Yahwistic Singers in the Jerusalem Temple? Evidence from Psalm 922017 •
2024 •
2024 •
Strategy
FATAL DECISIONS BY PAKISTAN'S CIVILIAN PRIME MINISTERS WHICH DESTROYED PAKISTAN STRATEGICALLY2024 •
2024 •
Слово і Час, 2024, № 5, с. 101-105
Kурс риторики у студентських записах: проблема відтворення первісного текстуCiência e Agrotecnologia
Digestibilidade e retenção de nitrogênio de alimentos para papagaios verdadeiros (Amazona aestiva)2007 •
IEEE Transactions on Evolutionary Computation
A phylogenetic, ontogenetic, and epigenetic view of bio-inspired hardware systems1997 •
Water research
Design, analysis and validation of a simple dynamic model of a submerged membrane bioreactor2015 •
Cancer Biotherapy and Radiopharmaceuticals
Development of 177Lu-DOTA-Dendrimer and Determination of Its Effect on Metal and Ion Levels in Tumor Tissue2015 •
Sultan Qaboos University Medical Journal [SQUMJ]
First Report of a Derivative Chromosome 13 with a Duplicated 11p15 Locus Associated with Silver-Russell syndrome2024 •
International journal of advanced science and engineering
Synthesis of CuMoO4 Nanostructures Using Tridax Procumbens Leaf Extract: Enhanced Crystal Violet (CV) as Anionic Dye Degradation2024 •