Local Perturbations of the Steady States in the Population Dynamics

  • ID: 4226587
  • Book
  • 250 Pages
  • Elsevier Science and Technology
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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.
  • 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
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1. Transition to the steady state 2. The models with finitely many centers of generation of the particles 3. Phase transitions for the homopolypers

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Cranston, Michael
Michael Cranston is professor at the University of California since 2004. Between 1992 and 2004 he was a professor at the University of Rochester. He obtained his PhD in Math in 1980.
Molchanov, Stanislav
Stanislas Molchanov is a professor at University of North Carolina at Charlotte. He obtained his PhD in 1967 at Moscow State University.
Yarovaya, Elena
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