Cranston / Molchanov / Yarovaya

Local Perturbations of the Steady States in the Population Dynamics

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Buch. Hardcover

2017

250 S.

In englischer Sprache

Elsevier Science & Technology. ISBN 978-1-78548-240-3

Format (B x L): 15,2 x 22,9 cm

Produktbeschreibung

Local Perturbations of the Steady States in the Population Dynamics studies the connection between spectral theory of discrete operators on the integer lattice and particle dynamics of branching Markov chains associated to this operator. In a novel direction, a connection to phase transitions of pinned polymer models is examined.

- The monograph is dedicated to the study of the correlation functions of such states and to the problem of their stability with respect to local perturbations
- The analysis of stability leads at the technical level to the spectral theory of convolution operators perturbed by a compactly supported potential and to global limit theorems for the transition probabilities and their Green functions under different assumptions for random migration