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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. * Presents the latest information on the study of the correlation functions of steady states and the problem of their stability with respect to local perturbations * Provides an analysis of stability leads from the technical level, to the spectral theory of…mehr

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. * Presents the latest information on the study of the correlation functions of steady states and the problem of their stability with respect to local perturbations * Provides an analysis of stability leads from 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