Large deviations for langevin spin glass dynamics. Probability Theory and Related Fields, vol.102, pp.455-509, 1995. ,
Functional analysis, Sobolev spaces and partial differential equations, 2010. ,
Large deviations and strong mixing, In Ann. Inst. H. Poincaré Probab. Statist, vol.32, pp.549-569, 1996. ,
Large deviation properties of weakly interacting processes via weak convergence methods, Annals of Probability, vol.40, issue.1, pp.74-102, 2012. ,
Rhythms of the Brain, 2006. ,
Dynamics of spin systems with randomly asymmetric bonds: Langevin dynamics and a spherical model, Physical Review A, vol.36, issue.10, pp.4922-4939, 1987. ,
Path integral approach to random neural networks, Physical Review E, vol.98, issue.6, p.62120, 2018. ,
Large deviations techniques, 1997. ,
Entropy, large deviations, and statistical mechanics, 1985. ,
Asymptotic description of stochastic neural networks. i. existence of a large deviation principle, Comptes rendus Mathématique, vol.352, issue.10, pp.841-846, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01074836
Stochastic processes: theory for applications, 2013. ,
Dynamique de Langevin d'un verre de spins, 1995. ,
Averaged and quenched propagation of chaos for spin glass dynamics. Probability Theory and Related Fields, vol.109, pp.183-215, 1997. ,
Neural networks and physical systems with emergent collective computational abilities, Proc. National Academy of Sciences, vol.79, pp.2554-2558, 1982. ,
Neurons with graded response have collective computational properties like those of two-state neurons, Proceedings of the National Academy of Sciences, vol.81, issue.10, pp.3088-3092, 1984. ,
Computing with neural circuits-a model, Science, vol.233, issue.4764, pp.625-633, 1986. ,
Stochastic differential equations and applications. Horwood, 2008. ,
Large deviations and mean-field theory for asymmetric random recurrent neural networks. Probability Theory and Related Fields, vol.123, pp.41-75, 2002. ,
Continuous Martingales and Brownian Motion, 1991. ,
, , 1996.
Chaos in Random Neural Networks, Physical Review Letters, vol.61, issue.3, pp.259-262, 1988. ,
Relaxational dynamics of the Edwards-Anderson model and the mean-field theory of spin-glasses, Physical Review B, vol.25, issue.11, pp.6860-6875, 1982. ,
Networks of the Brain, 2011. ,
Topics in propagation of chaos, Lecture Notes in Math, vol.1464, pp.165-251, 1991. ,
Topics in random matrix theory, vol.132, 2012. ,
, Integral Equations. Interscience, 1957.