Fine mesh limit of the VRJP in dimension one and Bass-Burdzy flow
From MaRDI portal
Publication:2182118
DOI10.1007/s00440-019-00944-yzbMath1434.60215arXiv1803.10626OpenAlexW2975973816MaRDI QIDQ2182118
Christophe Sabot, Titus Lupu, Pierre Tarrès
Publication date: 21 May 2020
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10626
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Processes in random environments (60K37) Local time and additive functionals (60J55)
Related Items
MATRIX-MFO tandem workshop: Stochastic reinforcement processes and graphs. Abstracts from the MATRIX-MFO tandem workshop held March 5--10, 2023, Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees, Almost sure behavior of linearly edge-reinforced random walks on the half-line, Invariance principles for random walks in random environment on trees, Inverting the ray-knight identity on the line, Strongly vertex-reinforced jump process on a complete graph
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuous-time vertex reinforced jump processes on Galton-Watson trees
- Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
- Stochastic flows of diffeomorphisms for one-dimensional SDE with discontinuous drift
- Weak limits of perturbed random walks and the equation \(Y_ t = B_ t+\alpha\sup\{Y_ s:s \leq t\} + \beta\inf\{Y_ s:s\leq t\}\)
- The vertex reinforced jump process and a random Schrödinger operator on finite graphs
- Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
- A one-dimensional diffusion process in a Wiener medium
- Ray-Knight theorems related to a stochastic flow
- On uniform laws of large numbers for ergodic diffusions and consistency of estimators
- Vertex-reinforced jump processes on trees and finite graphs
- Discrete schemes for processes in random media
- Stochastic bifurcation models
- Continuous time vertex-reinforced jump processes
- Recurrence and transience preservation for vertex reinforced jump processes in one dimension
- A random environment for linearly edge-reinforced random walks on infinite graphs
- Localization for linearly edge reinforced random walks
- On the recurrence of edge-reinforced random walk on \(\mathbb Z \times G\)
- Bayesian analysis for reversible Markov chains
- A stochastic flow arising in the study of local times
- Beta Variables as Times Spent in [0, ∞[ By Certain Perturbed Brownian Motions
- The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium