Minimum Kullback entropy approach to the Fokker-Planck equation, Physical Review E, vol.56, issue.4, pp.3927-3934, 1997. ,
DOI : 10.1103/PhysRevE.56.3927
On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems. Part 1: The Linear Fokker-Planck Equation, Communications in Pure and Applied Mathematics, p.54, 2001. ,
The Kullback-Leibler rate metric for comparing dynamical systems, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009. ,
DOI : 10.1109/CDC.2009.5399552
Kullback-Leibler approximation of spectral density functions, Proceedings of the 42nd IEEE Conference on Decision and Control, 2003. ,
The Minimal Entropy Martingale Measure and the Valuation Problem in Incomplete Markets, Mathematical Finance, vol.10, issue.1, pp.39-52, 2000. ,
DOI : 10.1111/1467-9965.00079
On the minimal entropy martingale measure. The Annals of Probability, 2002. ,
Minimal Relative Entropy Martingale Measure of Birth and Death Process. Discussion Papers in Economics, 2000. ,
On the Minimal Entropy Martingale Measures for Geometric Lévy Processes. Discussion Papers in Economics, p.299, 2001. ,
Entropy, invertibility and variational calculus of adapted shifts on Wiener space, Journal of Functional Analysis, vol.257, issue.11, pp.3655-3689, 2009. ,
DOI : 10.1016/j.jfa.2009.03.015
Invertibility of adapted perturbations of the identity on abstract Wiener space, Journal of Functional Analysis, vol.262, issue.6, pp.2734-2776 ,
DOI : 10.1016/j.jfa.2011.12.025
Likelihood of a model and information criteria, Journal of Econometrics, vol.16, issue.1, pp.3-14, 1981. ,
DOI : 10.1016/0304-4076(81)90071-3
Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance, IEEE Transactions on Image Processing, vol.11, issue.2, pp.146-158, 2002. ,
DOI : 10.1109/83.982822
Akaike's Information Criterion and Recent Developments in Information Complexity, Journal of Mathematical Psychology, vol.44, issue.1, pp.62-91, 2000. ,
DOI : 10.1006/jmps.1999.1277
Large deviations techniques, 1997. ,
Large deviations for Langevin spin glass dynamics. Probability Theory and Related Fields, pp.455-509, 1995. ,
Large deviations and mean-field theory for asymmetric random recurrent neural networks. Probability Theory and Related Fields, pp.41-75, 2002. ,
A large deviation principle for networks of rate neurons with correlated synaptic weights, BMC Neuroscience, vol.14, issue.Suppl 1 ,
DOI : 10.1007/s004400100182
URL : https://hal.archives-ouvertes.fr/hal-00842310
Large Deviations of an Ergodic Synchoronous Neural Network with Learning. Arxiv depot, 2014. ,
Large deviation properties of weakly interacting processes via weak convergence methods, The Annals of Probability, vol.40, issue.1, pp.74-102, 2012. ,
DOI : 10.1214/10-AOP616
On the form of the large deviation rate function for the empirical measures of weakly interacting systems, Bernoulli, vol.20, issue.4, pp.1765-1801, 2014. ,
DOI : 10.3150/13-BEJ540
Mean Field description of and propagation of chaos in recurrent multipopulation networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00846140
Large deviations from the mckean-vlasov limit for weakly interacting diffusions, 1987. ,
Brownian motion and stochastic calculus, Graduate Texts in Mathematics, vol.113, p.470, 1991. ,
Asymptotic Evaluation of Certain Markov Process Expectations for Large Time, IV. Communications on Pure and Applied Mathematics, pp.183-212, 1983. ,
Ergodic Theorems for Spatial Processes, Z. Wahfscheinlichkeitstheorie verw Gebiete, vol.48, pp.133-158, 1979. ,
A Weak Convergence Approach to the Theory of Large Deviations, 1997. ,
DOI : 10.1002/9781118165904
Continuous Martingales and Brownian Motion This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license, 1991. ,