5 papers
Stochastic individual-based models with power law mutation rate on a general finite trait space
Loren Coquille, Anna Kraut, Charline Smadi
We consider a stochastic individual-based model for the evolution of a haploid, asexually reproducing population. The space of possible traits is given by the vertices of a (possib…
Parameter estimation and treatment optimization in a stochastic model for immunotherapy of cancer
Modibo Diabate, Loren Coquille, Adeline Samson
Adoptive Cell Transfer therapy of cancer is currently in full development and mathematical modeling is playing a critical role in this area. We study a stochastic model developed b…
Absence of Dobrushin states for long-range Ising models
Loren Coquille, Aernout C. D. van Enter, Arnaud Le Ny +1
We consider the two-dimensional Ising model with long-range pair interactions of the form with , mostly when . We show that Dobrushin sta…
Note on Bolthausen-Deuschel-Zeitouni's paper on the absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger
Loren Coquille, Piotr Miłoś
The article [Bolthausen et al., 2000] provides a proof of the absence of a wetting transition for the discrete Gaussian free field conditioned to stay positive, and undergoing a we…
A second note on the discrete Gaussian Free Field with disordered pinning on Z^d, d\geq 2
Loren Coquille, Piotr Miłoś
We study the discrete massless Gaussian Free Field on Z^d, d \geq 2, in the presence of a disordered square-well potential supported on a finite strip around zero. The disorder is…