Stability of stochastic semigroups and applications to Stein's neuronal model

Author:

PichÓr Katarzyna, ,Rudnicki Ryszard,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference19 articles.

1. Functional Analysis for Probability and Stochastic Processes. An Introduction,;A. Bobrowski;Cambridge University Press,2005

2. Convergence of One-Parameter Operator Semigroups: In Models of Mathematical Biology and Elsewhere,;A. Bobrowski;New Mathematical Monographs,2016

3. A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input,;A. N. Burkitt;Biol. Cybern.,2006

4. An Introduction to Continuous-Time Stochastic Processes. Theory, Models and Applications to Finance, Biology and Medicine,;V. Capasso;Birkhäuser,2005

5. Piecewise-deterministic Markov processes: A general class of nondiffusion stochastic models,;M. H. A. Davis;J. Roy. Statist. Soc. Ser. B,1984

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1. Uniform convergence of stochastic semigroups;Israel Journal of Mathematics;2021-11-25

2. Positive irreducible semigroups and their long-time behaviour;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2020-10-19

3. The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states;Nonlinearity;2020-10-19

4. Application of the Goodwin model to autoregulatory feedback for stochastic gene expression;Mathematical Biosciences;2020-09

5. Spectral gaps for hyperbounded operators;Advances in Mathematics;2020-03

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