Poincaré-Type Inequalities for Compact Degenerate Pure Jump Markov Processes

Poincaré-Type Inequalities for Compact Degenerate Pure Jump Markov Processes

We aim to prove Poincaré inequalities for a class of pure jump Markov processes inspired by the model introduced by Galves and Löcherbach to describe the behavior of interacting brain neurons. In particular, we consider neurons with degenerate jumps, i.e., which lose their memory w...

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Bibliographic Details
Main Authors: Pierre Hodara, Ioannis Papageorgiou
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
Poincaré inequality
brain neuron networks
Galves-Löcherbach model
Online Access:https://www.mdpi.com/2227-7390/7/6/518

Internet

https://www.mdpi.com/2227-7390/7/6/518

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