4 papers
Rigidity of infinite exchangeable sequences with Gaussian marginals
Maximillian Newman
We study infinite exchangeable sequences with Gaussian one-dimensional marginals. We formulate the conjecture that joint Gaussianity of a single pair of coordinates forces the enti…
The quenched coalescent for structured diploid populations with large migrations and uneven offspring distributions
Maximillian Newman
In this work we describe a new model for the evolution of a diploid structured population backwards in time that allows for large migrations and uneven offspring distributions. The…
Quenched coalescent for diploid population models with selfing and overlapping generations
Louis Wai-Tong Fan, Maximillian Newman, John Wakeley
We introduce a general diploid population model with self-fertilization and possible overlapping generations, and study the genealogy of a sample of genes as the population siz…
Conditional gene genealogies given the population pedigree for a diploid Moran model with selfing
Maximillian Newman, John Wakeley, Wai-Tong Louis Fan
We introduce a stochastic model of a population with overlapping generations and arbitrary levels of self-fertilization versus outcrossing. We study how the global graph of reprodu…