Kingman’s Model with Random Mutation Probabilities: Convergence and Condensation II

[1]  Linglong Yuan Kingman’s Model with Random Mutation Probabilities: Convergence and Condensation II , 2020, Advances in Applied Probability.

[2]  O. Kallenberg Foundations of Modern Probability , 2021, Probability Theory and Stochastic Modelling.

[3]  S. Dereich,et al.  The Shape of the Emerging Condensate in Effective Models of Condensation , 2017, 1711.08355.

[4]  Linglong Yuan A generalization of Kingman's model of selection and mutation and the Lenski experiment. , 2015, Mathematical biosciences.

[5]  S. Dereich,et al.  Non-extensive condensation in reinforced branching processes , 2016, 1601.08128.

[6]  Peter Morters,et al.  Condensation and symmetry-breaking in the zero-range process with weak site disorder , 2015, 1509.07672.

[7]  S. Dereich Preferential attachment with fitness: unfolding the condensate , 2016 .

[8]  Steffen Dereich,et al.  Cycle length distributions in random permutations with diverging cycle weights , 2015, Random Struct. Algorithms.

[9]  S. Dereich,et al.  Emergence of Condensation in Kingman’s Model of Selection and Mutation , 2012, 1207.6203.

[10]  K. Wachter,et al.  A Mutation-Selection Model With Recombination for General Genotypes , 2013 .

[11]  L. Ferretti,et al.  Non-neutral theory of biodiversity , 2009, 0903.1753.

[12]  Joachim Krug,et al.  Evolution in random fitness landscapes: the infinite sites model , 2007, 0711.1989.

[13]  Steven N. Evans,et al.  A generalized model of mutation-selection balance with applications to aging , 2004, Adv. Appl. Math..

[14]  Reinhard Bürger,et al.  Mathematical properties of mutation-selection models , 1998, Genetica.

[15]  A. Barabasi,et al.  Bose-Einstein condensation in complex networks. , 2000, Physical review letters.

[16]  R. Buerger The Mathematical Theory of Selection, Recombination, and Mutation , 2000 .

[17]  Reinhard Bu¨rger,et al.  Mutation-selection balance and continuum-of-alleles models , 1988 .

[18]  R. Bürger On the maintenance of genetic variation: global analysis of Kimura's continuum-of-alleles model , 1986, Journal of mathematical biology.

[19]  J. Kingman A simple model for the balance between selection and mutation , 1978, Journal of Applied Probability.