We study the statistical mechanics of a model describing the coevolution of species interacting in a random way. We find that at high competition replica symmetry is broken. We solve the model in the approximation of one step replica symmetry breaking and we compare our findings with accurate numerical simulations
Abstract. The equilibrium low-temperature physics of disordered systems is governed by the statistic...
We solve the random energy model when the energies of the configurations take only integer values. I...
Replica-symmetry breaking is studied in fully connected neural networks with modified pseudo-inverse...
We study the statistical mechanics of a model describing the co-evolution of species interacting in ...
latex Replicas.tex, 1 file, 11 pages [SPhT-T00/111], submitted to Eur. Phys. J. BThe replicated fiel...
The first lecture contains an introduction to the replica method, along with a concrete application ...
The existence theorem for replica-symmetry breaking (RSB) in the transverse field Sherrington-Kirkpa...
We consider the field theory formulation for manifolds in random media using the replica method. We ...
We show that explicit replica symmetry breaking can be implemented by averaging over a small random ...
https://arxiv.org/abs/1410.1432We present a systematic and exact way of computing finite size correc...
The finite volume fluctuations of the free energy in disordered systems can be characterized by mean...
International audienceWe consider a novel model of stochastic replicator dynamics for potential game...
The random replicator model with interspecies coupling strengths prescribed by the competitive exclu...
In this letter we present supporting evidence for the replica symmetric approach to the random bond ...
A generating function is introduced to determine the probabilty P(q) of the overlap q in disordered ...
Abstract. The equilibrium low-temperature physics of disordered systems is governed by the statistic...
We solve the random energy model when the energies of the configurations take only integer values. I...
Replica-symmetry breaking is studied in fully connected neural networks with modified pseudo-inverse...
We study the statistical mechanics of a model describing the co-evolution of species interacting in ...
latex Replicas.tex, 1 file, 11 pages [SPhT-T00/111], submitted to Eur. Phys. J. BThe replicated fiel...
The first lecture contains an introduction to the replica method, along with a concrete application ...
The existence theorem for replica-symmetry breaking (RSB) in the transverse field Sherrington-Kirkpa...
We consider the field theory formulation for manifolds in random media using the replica method. We ...
We show that explicit replica symmetry breaking can be implemented by averaging over a small random ...
https://arxiv.org/abs/1410.1432We present a systematic and exact way of computing finite size correc...
The finite volume fluctuations of the free energy in disordered systems can be characterized by mean...
International audienceWe consider a novel model of stochastic replicator dynamics for potential game...
The random replicator model with interspecies coupling strengths prescribed by the competitive exclu...
In this letter we present supporting evidence for the replica symmetric approach to the random bond ...
A generating function is introduced to determine the probabilty P(q) of the overlap q in disordered ...
Abstract. The equilibrium low-temperature physics of disordered systems is governed by the statistic...
We solve the random energy model when the energies of the configurations take only integer values. I...
Replica-symmetry breaking is studied in fully connected neural networks with modified pseudo-inverse...