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Population dynamics constitutes a widespread branch of investigations which finds important applications within the realm of life science. The classical deterministic (macroscopic) approach aims at characterizing the time evolution of families of homologous entities, so to unravel the global mechanisms which drive their dynamics. As opposed to this formulation, a microscopic level of modeling can be invoked which instead focuses on the explicit rules governing the interactions among individuals. A viable tool that enables to bridge the gap between the two approaches is the van Kampen's system size expansion. In this thesis we use this method to show how the finite-size effects accounted by the microscopic level might significantly alter the dynamics of biological phenomena.
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Stochastic processes --- Processus stochastiques --- Stochastic processes.
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Stochastic processes --- Stochastic processes. --- Processus stochastiques
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Stochastic processes --- Processus stochastiques --- Stochastic processes.
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Stochastic processes --- Processus stochastiques --- Stochastic processes.
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Stochastic processes --- Random processes --- Probabilities --- Stochastic processes.
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The book collects papers on several topics in probability and stochastic processes. These papers have been presented at a conference organised in honour of Professor Rajeeva L. Karandikar who turned 65 in 2021. He has been an esteemed researcher, and a teacher at Indian Statistical Institute, Delhi Centre, for many years. He has been a multi-faceted academician, interacting with the Government of India and the industry. He has left an indelible mark in every endeavour of his and in his several different avatars—be it in ISI, in the industry or as Director of Chennai Mathematical Institute. This book will be useful to senior undergraduate and graduate students, as well as researchers in probability, statistics and related fields.
Probabilities. --- Stochastic processes. --- Probability Theory. --- Stochastic Processes.
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