caa a22 4500 445330309 CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00285-010-0358-4 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0358-4 Cessac B. Equipe systèmes dynamiques, interactions en physique, biologie, chimie, Laboratoire Jean-Alexandre Dieudonné, Université de Nice, Parc Valrose, 06000, Nice, France aut A discrete time neural network model with spiking neurons: II: Dynamics with noise [Elektronische Daten] [B. Cessac] We provide rigorous and exact results characterizing the statistics of spike trains in a network of leaky Integrate-and-Fire neurons, where time is discrete and where neurons are submitted to noise, without restriction on the synaptic weights. We show the existence and uniqueness of an invariant measure of Gibbs type and discuss its properties. We also discuss Markovian approximations and relate them to the approaches currently used in computational neuroscience to analyse experimental spike trains statistics. Springer-Verlag, 2010 Neurons dynamics nationallicence Spike train statistics nationallicence Thermodynamic formalism nationallicence Gibbs distributions nationallicence Journal of Mathematical Biology Springer-Verlag 62/6(2011-06-01), 863-900 0303-6812 62:6<863 2011 62 285 https://doi.org/10.1007/s00285-010-0358-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0358-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cessac B. Equipe systèmes dynamiques, interactions en physique, biologie, chimie, Laboratoire Jean-Alexandre Dieudonné, Université de Nice, Parc Valrose, 06000, Nice, France aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/6(2011-06-01), 863-900 0303-6812 62:6<863 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 445330309 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer