Quantitative control of Wasserstein distance between Brownian motion and the Goldstein-Kac telegraph process
DOI10.1214/22-aihp1288arXiv2201.00422MaRDI QIDQ6100164
Jani Lukkarinen, Gerardo Barrera
Publication date: 21 June 2023
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00422
Brownian motiondecouplingtelegraph processWasserstein distancesynchronous couplingrandom evolutionscoin-flip couplingfree velocity flip modelKomlós-Major-Tusnády coupling
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Special processes (60K99) Other physical applications of random processes (60K40) Jump processes on general state spaces (60J76)
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Cites Work
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- Telegraph processes and option pricing
- Harmonic chain with velocity flips: thermalization and kinetic theory
- Occupation time distributions for the telegraph process
- Transport properties of a chain of anharmonic oscillators with random flip of velocities
- A link between wave governed random motions and ruin processes
- Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchhoff's laws
- The distance between the Kac process and the Wiener process with applications to generalized telegraph equations
- Non-life insurance mathematics. An introduction with the Poisson process
- A stochastic model related to the telegrapher's equation
- Properties of the telegrapher's random process with or without a trap
- Telegraph process with elastic boundary at the origin
- Evolution of the Wasserstein distance between the marginals of two Markov processes
- The equation of symmetric Markovian random evolution in a plane
- Donsker-type theorem for BSDEs: rate of convergence
- Donsker's theorem in Wasserstein-1 distance
- Estimation of local microcanonical averages in two lattice mean-field models using coupling techniques
- The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line
- Telegraph random evolutions on a circle
- On the exact distributions of the maximum of the asymmetric telegraph process
- Multi-state condensation in Berlin-Kac spherical models
- Sticky couplings of multidimensional diffusions with different drifts
- Ergodicity of the zigzag process
- On a Wasserstein-type distance between solutions to stochastic differential equations
- Hydrodynamic limit for the velocity-flip model
- Thermalization in harmonic particle chains with velocity flips
- Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations
- On a directionally reinforced random walk
- A Remark on Stirling's Formula
- Point Process Calculus in Time and Space
- An approximation of partial sums of independent RV's, and the sample DF. II
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- The Equations of Markovian Random Evolution on the Line
- Linear combinations of the telegraph random processes driven by partial differential equations
- Telegraph processes with random velocities
- Certain functionals of squared telegraph processes
- An Invitation to Statistics in Wasserstein Space
- The explicit probability distribution of the sum of two telegraph processes
- Generalized Telegraph Process with Random Jumps
- Estimation for the discretely observed telegraph process
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
- Probability theory. A comprehensive course
- Optimal Transport
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