Leonardo Nagami Coregliano
Published 2015-07-22Version 1
We propose a new stochastic model for biological neural nets which is a continuous time version of the model proposed by Galves and L\"ocherbach in [A. Galves and E. L\"ocherbach, "Infinite systems of interacting chains with memory of variable length - a stochastic model for biological neural nets", J. Stat. Phys. 151 (2013), no. 5, 896-921]. We also show how to computationally simulate such model for easy neuron potential decays and probability functions and characterize when the model has a finite time of death almost surely.
Infinite systems of interacting chains with memory of variable length - a stochastic model for biological neural nets
Infinite systems of interacting chains with memory of variable length beyond the Dobrushin condition
Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions
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