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5 papers · 2 filters
Persistence in the Moran model with random switching
Arnaud Guillin, Arnaud Personne, Edouard Strickler
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment, say random selection. In finite population, the Moran process may be degenerat…
Limit profile for random transpositions
Lucas Teyssier
We present an improved version of Diaconis' upper bound lemma, which is used to compute the limiting value of the distance to stationarity. We then apply it to random transposition…
Hamilton-Jacobi equations for finite-rank matrix inference
Jean-Christophe Mourrat
We compute the large-scale limit of the free energy associated with the problem of inference of a finite-rank matrix. The method follows the principle put forward in arXiv:1811.014…
Scale-free percolation in continuum space: quenched degree and clustering coefficient
Joseba Dalmau, Michele Salvi
Spatial random graphs capture several important properties of real-world networks. We prove quenched results for the continuum space version of scale-free percolation introduced in…
The localisation of low-temperature interfaces in dimensional Ising model
Wei Zhou
We study the Ising model in a box in (not necessarily parallel to the directions of the lattice) with Dobrushin boundary conditions at low temperature. We couple…