The ferromagnetic Ising model without external field on an infinite Lorentzian triangulation sampled from the uniform distribution is considered. We prove uniqueness of the Gibbs measure in the high temperature region and coexistence of at least two Gibbs measures at low temperature. The proofs are based on the disagreement percolation method and on a variant of the Peierls contour method. The critical temperature is shown to be constant a.s
The theory of Gibbs measures belongs to the borderlandbetween statistical mechanics and probability ...
In this paper we analyze the equilibrium phase diagram of the two-dimensional ferromagnetic n.n. Isi...
We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field ...
The ferromagnetic Ising model without external field on an infinite Lorentzian triangulation sampled...
Physical phenomena commonly observed in nature such as phase transitions, critical phenomena and met...
International audienceIn (Commun. Math. Phys. 374(3):1577–1643, 2020), we have studied the Boltzmann...
The nonequilibrium-phase transition has been studied by Monte Carlo simulation in a ferromagneticall...
The critical behaviour of the Ising model in the absence of an external magnetic field can be specif...
We present a new procedure that can identify and measure the critical temperature. This method is ba...
Phase transitions of the two-finite temperature Ising model on a square lattice are invest...
We study the critical behavior of the three-dimensional +/- J Ising model [with random-exchange prob...
We prove rigorously that the ferromagnetic Ising model on any nonamenable Cayley graph undergoes a c...
The q-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges ass...
We consider the low temperature Ising model in a uniform magnetic field h ? 0 with minus boundary co...
International audienceWe prove the existence of the local weak limit of the measure obtained by samp...
The theory of Gibbs measures belongs to the borderlandbetween statistical mechanics and probability ...
In this paper we analyze the equilibrium phase diagram of the two-dimensional ferromagnetic n.n. Isi...
We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field ...
The ferromagnetic Ising model without external field on an infinite Lorentzian triangulation sampled...
Physical phenomena commonly observed in nature such as phase transitions, critical phenomena and met...
International audienceIn (Commun. Math. Phys. 374(3):1577–1643, 2020), we have studied the Boltzmann...
The nonequilibrium-phase transition has been studied by Monte Carlo simulation in a ferromagneticall...
The critical behaviour of the Ising model in the absence of an external magnetic field can be specif...
We present a new procedure that can identify and measure the critical temperature. This method is ba...
Phase transitions of the two-finite temperature Ising model on a square lattice are invest...
We study the critical behavior of the three-dimensional +/- J Ising model [with random-exchange prob...
We prove rigorously that the ferromagnetic Ising model on any nonamenable Cayley graph undergoes a c...
The q-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges ass...
We consider the low temperature Ising model in a uniform magnetic field h ? 0 with minus boundary co...
International audienceWe prove the existence of the local weak limit of the measure obtained by samp...
The theory of Gibbs measures belongs to the borderlandbetween statistical mechanics and probability ...
In this paper we analyze the equilibrium phase diagram of the two-dimensional ferromagnetic n.n. Isi...
We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field ...