A Result of Metastability for an Infinite System of Spiking Neurons
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DOI: 10.1007/s10955-019-02402-4
Abstract: In 2018, Ferrari et al. wrote a paper called "Phase Transition for Infinite Systems of Spiking Neurons" in which they introduced a continuous time stochastic model of interacting neurons. This model has a parameter $\gamma$,… read more here.
Keywords: metastability infinite; system spiking; result metastability; infinite system ... See more keywords
Infinite system of random walkers: winners and losers
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abd8b3
Abstract: We study an infinite system of particles initially occupying a half-line y ⩽ 0 and undergoing random walks on the entire line. The right-most particle is called a leader. Surprisingly, every particle except the original… read more here.
Keywords: system; winners losers; system random; infinite system ... See more keywords
On a class of infinite system of third-order differential equations in lp via measure of noncompactness
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DOI: 10.2298/fil2011861p
Abstract: In this paper, with the help of measure of noncompactness together with Darbo-type fixed point theorem, we focus on the infinite system of third-order differential equations u′′′ i + au ′′ i + bu ′… read more here.
Keywords: infinite system; system; order differential; measure noncompactness ... See more keywords