Branching Random Walks in Nonhomogenous Environments
ISBN: 9781848212084 | 1848212089
Edition: 1stFormat: Hardcover
Publisher: Wiley-ISTE
Pub. Date: 3/5/2013
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The book is devoted to a modern section of the probability theory, the so-called theory of branching random walks. Chapter 1 describes the random walk model in the finite branching one-source environment. Chapter 2 is devoted to a model of homogeneous, symmetrical, irreducible random walk (without branching) with finite variance of the jumps on the multidimensional integer continuous-time lattice where transition is possible to an arbitrary point of the lattice and not only to the neighbor state. This model is a generalization of the simple sym... MORE
1. Model Description and Basic Equations.
2. Random Walk without branching.
3. Spectral Classification of the First Moments.
4. Limit Theorem for the Supercritical Case.
5. Moments in the Critical and Subcritical Cases.
6. Limit Theorems for the Critical Case.
7. Limit Theorems for the Subcritical Case.
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