Vladimir Vatutin's Books

Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that the conditions of reproduction may vary in a random fashion from one generation to the next. This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.

This book covers the mathematical idea of branching processes, and tailors it for a biological audience.

This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using a unique, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on ones that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived.This is an important book, describing many ideas not previously available in English; the author has taken the chance to update the text and references where appropriate.

This work explores the role of probabilistic methods for solving combinatorial problems. The subjects studied are nonnegative matrices, partitions and mappings of finite sets, with special emphasis on permutations and graphs, and equivalence classes specified on sequences of finite length consisting of elements of partially ordered sets; these define the probabilistic setting of Sachkov's general combinatorial scheme. The author pays special attention to using probabilistic methods to obtain asymptotic formulae that are difficult to derive using combinatorial methods. This important book describes many ideas not previously available in English and will be of interest to graduate students and professionals in mathematics and probability theory.

This book covers the mathematical idea of branching processes, and tailors it for a biological audience.

Exhibition 21 April - 20 June 2005 in The Benois Wing

Book's by Vladimir Vatutin

Discrete Time Branching Processes in Random Environment

Discrete Time Branching Processes in Random Environment

Branching Processes

Branching Processes

Combinatorial Methods in Discrete Mathematics

Combinatorial Methods in Discrete Mathematics

Probabilistic Methods in Combinatorial Analysis

Probabilistic Methods in Combinatorial Analysis

Discrete Time Branching Processes in Random Environment

Discrete Time Branching Processes in Random Environment

Branching Processes

Branching Processes

Probabilistic Methods in Combinatorial Analysis

Probabilistic Methods in Combinatorial Analysis

Vladimir Izdebsky

Vladimir Izdebsky

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