Linglong Yuan

collaborators

3 papers

math.PR2020

Kingman's model with random mutation probabilities: convergence and condensation II

Linglong Yuan

Kingman's model describes the evolution of a one-locus haploid population of infinite size and discrete generations under the competition of selection and mutation. A random genera…

math.PR2019

Does the ratio of Laplace transforms of powers of a function identify the function?

Takis Konstantopoulos, Linglong Yuan

We study the following question: if $f$ is a nonzero measurable function on $[0, \infty)$ and $m$ and $n$ distinct nonnegative integers, does the ratio $f^{n} / f^{m}$ …

math.PR2019

Kingman's House-of-Cards model: random mutation probabilities and random matrices

Linglong Yuan

Kingman's House-of-Cards model is a simple and celebrated model to describe the evolution of population under the competition of selection and mutation. Letting mutation probabilit…