Exponential ergodicity of a degenerate age-size piecewise deterministic process

DOI10.1007/s10440-023-00597-zzbMath1522.60066arXiv2212.03163OpenAlexW4310806723MaRDI QIDQ6076433

Publication date: 21 September 2023

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.03163

zbMATH Keywords

exponential ergodicity Harris' ergodic theorem minorisation condition age-size structured equation degenerate PDMP non-conservative semigroups

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Eigenvalue problems for integral equations (45C05)

Cites Work

Unnamed Item
Unnamed Item
Spectral analysis of semigroups and growth-fragmentation equations
A piecewise deterministic model for a prey-predator community
Mutation, selection, and ancestry in branching models: a variational approach
Steady size distributions for cells in one-dimensional plant tissues
Piecewise deterministic Markov processes for continuous-time Monte Carlo
Large deviations asymptotics and the spectral theory of multiplicatively regular Markov proces\-ses
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Exponential and uniform ergodicity of Markov processes
Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process
On an irreducibility type condition for the ergodicity of nonconservative semigroups
Estimating the division rate from indirect measurements of single cells
Ergodic behavior of non-conservative semigroups via generalized Doeblin's conditions
On the long-time behaviour of age and trait structured population dynamics
Steady distribution of the incremental model for bacteria proliferation
Ergodicity of the zigzag process
Exponential ergodicity of the bouncy particle sampler
Analysis of a Population Model Structured by the Cells Molecular Content
Introduction to Smooth Manifolds
Yet Another Look at Harris’ Ergodic Theorem for Markov Chains
Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem
EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL
Markov Chains and Stochastic Stability
One-Parameter Semigroups for Linear Evolution Equations
Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation
Measure Solutions To The Conservative Renewal Equation
A multiple time renewal equation for neural assemblies with elapsed time model
Long Time Behavior of an Age- and Leaky Memory-Structured Neuronal Population Equation
A Probabilistic Look at Conservative Growth-Fragmentation Equations
Large population limit and time behaviour of a stochastic particle model describing an age-structured population
A non‐conservative Harris ergodic theorem
Ergodic Behaviour of a Multi-Type Growth-Fragmentation Process Modelling the Mycelial Network of a Filamentous Fungus

This page was built for publication: Exponential ergodicity of a degenerate age-size piecewise deterministic process