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Probabilistic Structures in Evolution
 
Edited by: Ellen Baake Universität Bielefeld, Germany
Anton Wakolbinger Goethe-Universität, Frankfurt, Germany
A publication of European Mathematical Society
Probabilistic Structures in Evolution
Hardcover ISBN:  978-3-98547-005-1
Product Code:  EMSSCR/17
List Price: $99.00
AMS Member Price: $79.20
Please note AMS points can not be used for this product
Probabilistic Structures in Evolution
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Probabilistic Structures in Evolution
Edited by: Ellen Baake Universität Bielefeld, Germany
Anton Wakolbinger Goethe-Universität, Frankfurt, Germany
A publication of European Mathematical Society
Hardcover ISBN:  978-3-98547-005-1
Product Code:  EMSSCR/17
List Price: $99.00
AMS Member Price: $79.20
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Series of Congress Reports
    Volume: 172021; 502 pp
    MSC: Primary 92; 60

    This volume collects twenty-one survey articles about probabilistic aspects of biological evolution. They cover a large variety of topics from the research done within the German Priority Programme SPP 1590.

    Evolution is a complex phenomenon driven by various processes, such as mutation and recombination of genetic material, reproduction of individuals, and selection of favourable types. These processes all have intrinsically random elements, which give rise to a wealth of phenomena that cannot be explained by deterministic models. Examples of such effects are the loss of genetic variability due to random reproduction and the emergence of random genealogies.

    The collection is centered around the stochastic processes in population genetics and population dynamics. On the one hand, these are individual-based models of predator-prey and of coevolution type, of adaptive dynamics, or of experimental evolution, considered in the usual forward direction of time. They lead to processes describing the evolution of type frequencies, which may then be analyzed via suitable limit theorems. On the other hand, one traces the ancestral lines of individuals back into the past; this leads to random genealogies. Beyond the classical concept of Kingman's coalescent, emphasis is on genealogies with multiple mergers and on ancestral structures that take into account selection, recombination, or migration. The contributions in this volume will be valuable to researchers interested in stochastic processes and their biological applications or in mathematical population biology.

    A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

    Readership

    Graduate students and researchers interested in mathematical biology and stochastic processes.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 172021; 502 pp
MSC: Primary 92; 60

This volume collects twenty-one survey articles about probabilistic aspects of biological evolution. They cover a large variety of topics from the research done within the German Priority Programme SPP 1590.

Evolution is a complex phenomenon driven by various processes, such as mutation and recombination of genetic material, reproduction of individuals, and selection of favourable types. These processes all have intrinsically random elements, which give rise to a wealth of phenomena that cannot be explained by deterministic models. Examples of such effects are the loss of genetic variability due to random reproduction and the emergence of random genealogies.

The collection is centered around the stochastic processes in population genetics and population dynamics. On the one hand, these are individual-based models of predator-prey and of coevolution type, of adaptive dynamics, or of experimental evolution, considered in the usual forward direction of time. They lead to processes describing the evolution of type frequencies, which may then be analyzed via suitable limit theorems. On the other hand, one traces the ancestral lines of individuals back into the past; this leads to random genealogies. Beyond the classical concept of Kingman's coalescent, emphasis is on genealogies with multiple mergers and on ancestral structures that take into account selection, recombination, or migration. The contributions in this volume will be valuable to researchers interested in stochastic processes and their biological applications or in mathematical population biology.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and researchers interested in mathematical biology and stochastic processes.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.