随机环境中分支过程的大偏差

IF 0.3 Q4 MATHEMATICS, APPLIED

Discrete Mathematics and Applications Pub Date : 2021-08-01 DOI:10.1515/dma-2021-0025

A. V. Shklyaev

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引用次数: 4

摘要

摘要本文第一部分给出了由随机差分方程Yn+1=AnYn + Bn定义的序列的大偏差概率的渐近公式，其中A1, A2，…是独立的同分布随机变量，对于任意n≥1,Bn可能依赖于{(Ak,Bk)，0≤k本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large deviations of branching process in a random environment

Abstract In this first part of the paper we find the asymptotic formulas for the probabilities of large deviations of the sequence defined by the random difference equation Yn+1=AnYn + Bn, where A1, A2, … are independent identically distributed random variables and Bn may depend on {(Ak,Bk),0⩽k

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来源期刊

Discrete Mathematics and Applications MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

20.00%

发文量

期刊介绍： The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.