Modified log-Sobolev inequality for a compact pure jump Markov process with degenerate jumps
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Publication:1986088
DOI10.1007/s10955-020-02506-2zbMath1434.60300arXiv1906.04855OpenAlexW2953373081WikidataQ98799546 ScholiaQ98799546MaRDI QIDQ1986088
Publication date: 7 April 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.04855
concentrationpure jump Markov processesempirical approximationsbrain neuron networksmodified log-Sobolev inequality
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
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- Infinite systems of interacting chains with memory of variable length -- a stochastic model for biological neural nets
- Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution
- Convergence of stochastic gene networks to hybrid piecewise deterministic processes
- Quantitative concentration inequalities for empirical measures on non-compact spaces
- On logarithmic Sobolev inequalities for continuous time random walks on graphs
- Mean-field limit of generalized Hawkes processes
- Non-parametric estimation of the spiking rate in systems of interacting neurons
- Logarithmic Sobolev inequalities for some nonlinear PDE's.
- Concentration of measure and isoperimetric inequalities in product spaces
- Poincaré inequality on the path space of Poisson point processes
- A result of metastability for an infinite system of spiking neurons
- Lasso and probabilistic inequalities for multivariate point processes
- Logarithmic Sobolev inequalities for finite Markov chains
- Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
- Fluid limit theorems for stochastic hybrid systems with application to neuron models
- Piecewise deterministic Markov process — recent results
- Markov Chains
- Séminaire de Probabilités XXXVI
- Hawkes processes with variable length memory and an infinite number of components
- A model for neural activity in the absence of external stimuli
- Stability, convergence to equilibrium and simulation of non-linear Hawkes processes with memory kernels given by the sum of Erlang kernels
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