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math.PR2018
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…
math.PR2018
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…