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Showing 1-8 of 8 results
  1. Genealogical Properties of Subsamples in Highly Fecund Populations

    We consider some genealogical properties of nested samples. The complete sample is assumed to have been drawn from a natural population characterised...

    Bjarki Eldon, Fabian Freund in Journal of Statistical Physics
    Article 20 March 2018
  2. Lines of Descent Under Selection

    We review recent progress on ancestral processes related to mutation-selection models, both in the deterministic and the stochastic setting. We...

    Ellen Baake, Anton Wakolbinger in Journal of Statistical Physics
    Article 21 November 2017
  3. Small-Particle Limits in a Regularized Laplacian Random Growth Model

    We study a regularized version of Hastings–Levitov planar random growth that models clusters formed by the aggregation of diffusing particles. In...

    Fredrik Johansson Viklund, Alan Sola, Amanda Turner in Communications in Mathematical Physics
    Article 03 September 2014
  4. Permanental Partition Models and Markovian Gibbs Structures

    We study both time-invariant and time-varying Gibbs distributions for configurations of particles into disjoint clusters. Specifically, we introduce...

    Article 27 September 2013
  5. On Time Dynamics of Coagulation-Fragmentation Processes

    We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of...

    Boris L. Granovsky, Michael M. Erlihson in Journal of Statistical Physics
    Article 15 January 2009
  6. Gibbs Distributions for Random Partitions Generated by a Fragmentation Process

    In this paper we study random partitions of {1,…, n } where every cluster of size j can be in any of w j possible internal states. The Gibbs ( n , k , w )...

    Nathanaël Berestycki, Jim Pitman in Journal of Statistical Physics
    Article 24 January 2007
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