Central limit theorem in uniform metrics for generalized Kac equations
From MaRDI portal
Publication:6144444
DOI10.1016/j.spa.2023.104226OpenAlexW4387167142MaRDI QIDQ6144444
Federico Bassetti, Lucia Ladelli
Publication date: 29 January 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2023.104226
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Speed of convergence to equilibrium in Wasserstein metrics for Kac-like kinetic equations
- Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- The functional equation of the smoothing transform
- 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
- The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation
- Reaching the best possible rate of convergence to equilibrium for solutions of Kac's equation via central limit theorem
- Probabilistic study of the speed of approach to equilibrium for an inelastic Kac model
- Functional analysis, Sobolev spaces and partial differential equations
- On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models
- Rates for the CLT via new ideal metrics
- On generalized multiplicative cascades
- A general limit theorem for recursive algorithms and combinatorial structures
- Asymptotic properties and absolute continuity of laws stable by random weighted mean.
- The contraction method for recursive algorithms
- Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
- Large deviations for the solution of a Kac-type kinetic equation
- Self-similar solutions to kinetic-type evolution equations: beyond the boundary case
- Fisher information and the central limit theorem
- Self-similar solutions of kinetic-type equations: the boundary case
- Central limit theorem for the solution of the Kac equation
- On a kinetic model for a simple market economy
- On steady distributions of kinetic models of conservative economies
- The Methods of Distances in the Theory of Probability and Statistics
- Integration by Parts for Stieltjes Integrals
- Martingale convergence in the branching random walk
- Central limit theorem for Maxwellian molecules and truncation of the wild expansion
- Extensions of Gronwall's inequality with quadratic growth terms and applications
- Fixed points of the smoothing transformation
- Rates of convergence for Quicksort
- An exponential formula for solving Boltzmann's equation for a Maxwellian gas
This page was built for publication: Central limit theorem in uniform metrics for generalized Kac equations