57 citations · 150 across the 16 of their papers we have counts for
17 papers
Extremal Ising Gibbs States on Lobachevsky lattices
Matteo D'Achille, Loren Coquille, Arnaud Le Ny
We exhibit an uncountable family of extremal inhomogeneous Gibbs measures of the low temperature Ising model on regular tilings of the hyperbolic plane. These states arise as low t…
Quantitative delocalisation for the Gaussian and -SOS long-range chains
Loren Coquille, Paul Dario, Arnaud Le Ny
The goal of this article is to study quantitatively the localisation/delocalisation properties of the discrete Gaussian chain with long-range interactions. Specifically, we conside…
Absence of shift-invariant Gibbs states (delocalisation) for one-dimensional -valued fields with Long-Range interactions
Loren Coquille, Aernout C. D. van Enter, Arnaud Le Ny +1
We show that a modification of the proof of our paper [CvELNR18], in the spirit of [FP81], shows delocalisation in the long-range Discrete Gaussian Chain, and generalisations there…
Continuity of the extremal decomposition of the free state for finite-spin models on Cayley trees
Loren Coquille, Christof Kuelske, Arnaud Le Ny
We prove the continuity of the extremal decomposition measure of the free state of low temperature Potts models, and more generally of ferromagnetic finite-spin models, on a regula…
Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees
Loren Coquille, Christof Kuelske, Arnaud Le Ny
We consider -valued -SOS-models with nearest neighbor interactions of the form , and finite-spin ferromagnetic models on regular trees. This includes the…
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…
Crossing a fitness valley as a metastable transition in a stochastic population model
Anton Bovier, Loren Coquille, Charline Smadi
We consider a stochastic model of population dynamics where each individual is characterised by a trait in {0,1,...,L} and has a natural reproduction rate, a logistic death rate du…
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…
The recovery of a recessive allele in a Mendelian diploid model
Anton Bovier, Loren Coquille, Rebecca Neukirch
We study the large population limit of a stochastic individual-based model which describes the time evolution of a diploid hermaphroditic population reproducing according to Mendel…
A stochastic individual-based model for immunotherapy of cancer
Martina Baar, Loren Coquille, Hannah Mayer +4
We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modell…
Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions
Loren Coquille
We review what is known about the structure of the set of weak limiting states of the Ising and Potts models at low enough temperature, and in particular we prove that the mixture…
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…
A 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 , , in the presence of a disordered square-well potential supported on a finite strip around zero. The disorder…
On the Gibbs states of the noncritical Potts model on Z^2
Loren Coquille, Hugo Duminil-Copin, Dmitry Ioffe +1
We prove that all Gibbs states of the q-state nearest neighbor Potts model on Z^2 below the critical temperature are convex combinations of the q pure phases; in particular, they a…
A Finite-Volume Version of Aizenman-Higuchi Theorem for the 2d Ising Model
Loren Coquille, Yvan Velenik
In the late 1970s, in two celebrated papers, Aizenman and Higuchi independently established that all infinite-volume Gibbs measures of the two-dimensional ferromagnetic nearest-nei…