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pro vyhledávání: '"Grazieschi, Paolo"'
We consider multiple stochastic integrals with respect to c\`adl\`ag martingales, which approximate a cylindrical Wiener process. We define a chaos expansion, analogous to the case of multiple Wiener stochastic integrals, for these integrals and use
Externí odkaz:
http://arxiv.org/abs/2303.10245
We consider the Glauber dynamics of a ferromagnetic Ising-Kac model on a three-dimensional periodic lattice of size $(2N + 1)3$, in which the flipping rate of each spin depends on an average field in a large neighborhood of radius $\frac1\gamma << N$
Externí odkaz:
http://arxiv.org/abs/2303.10242
Autor:
Grazieschi Paolo, Leocata Marta, Mascart Cyrille, Chevallier Julien, Delarue François, Tanré Etienne
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 65, Pp 445-475 (2019)
Since the pioneering works of Lapicque [17] and of Hodgkin and Huxley [16], several types of models have been addressed to describe the evolution in time of the potential of the membrane of a neuron. In this note, we investigate a connected version o
Externí odkaz:
https://doaj.org/article/fdc79f923eb54d88baf840ef7f0406a9