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math.PR2026
On rigidity of infinite exchangeable sequences
Maximillian Newman
We ask when the law of an infinite exchangeable sequence is uniquely determined by a finite-dimensional marginal. For mixtures of a probability kernel, a weak localization conditio…
math.PR2026
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…
math.PR2026★ 1 cited
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…