Solutions of kinetic-type equations with perturbed collisions
DOI10.1016/j.spa.2023.01.014OpenAlexW4292958804MaRDI QIDQ2698481
Dariusz Buraczewski, Piotr Dyszewski, Alexander Marynych
Publication date: 24 April 2023
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.09498
kinetic equationrandom treesbranching random walkadditive martingaleKac modelinhomogeneous smoothing transform
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Applications of branching processes (60J85) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Cites Work
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- Quantitative propagation of chaos for generalized Kac particle systems
- Kac's program in kinetic theory
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- Uniform propagation of chaos for Kac's 1D particle system
- Asymptotics of self-similar growth-fragmentation processes
- Kinetic models with randomly perturbed binary collisions
- Self-similar solutions in one-dimensional kinetic models: a probabilistic view
- Asymptotic properties of the inelastic Kac model
- Central limit theorem for a class of one-dimensional kinetic equations
- Analysis of a model for wealth redistribution
- Probabilistic study of the speed of approach to equilibrium for an inelastic Kac model
- On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models
- Stochastic particle approximations for generalized Boltzmann models and convergence estimates
- Fixed points of the smoothing transform: two-sided solutions
- Biggins' martingale convergence for branching Lévy processes
- On a thermostated Kac model with rescaling
- Self-similar solutions to kinetic-type evolution equations: beyond the boundary case
- Self-similar solutions of kinetic-type equations: the boundary case
- Kinetic models of conservative economies with wealth redistribution
- On steady distributions of kinetic models of conservative economies
- Fixed points of inhomogeneous smoothing transforms
- A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
- Ergodic Properties of Continuous-Time Markov Processes and Their Discrete Skeletons
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