Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process
DOI10.1214/19-AOP1381zbMath1457.60126arXiv1704.05394MaRDI QIDQ784160
Christophe Sabot, Xiao Lin Zeng
Publication date: 31 July 2020
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.05394
random Schrödinger operatorself-interacting processeshitting time of Brownian motioninverse Gaussian lawvertex reinforced jump process
Supersymmetric field theories in quantum mechanics (81T60) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Diffusion processes (60J60) Quantum field theory on lattices (81T25) Processes in random environments (60K37)
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Cites Work
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- Anderson localization for a supersymmetric sigma model
- Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
- 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
- Grossissements de filtrations: exemples et applications. Séminaire de Calcul Stochastique 1982/83, Université Paris VI
- Beta-gamma algebra identities and Lie-theoretic exponential functionals of Brownian motion
- Exponential functionals of Brownian motion. I: Probability laws at fixed time
- Exponential functionals of Brownian motion. II: Some related diffusion processes
- Fourier analysis on a hyperbolic supermanifold with constant curvature
- Multivariate reciprocal inverse Gaussian distributions from the Sabot-Tarrès-Zeng integral
- Transience of edge-reinforced random walk
- On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary
- Path Decomposition and Continuity of Local Time for One-Dimensional Diffusions, I
- One-dimensional Brownian motion and the three-dimensional Bessel process
- A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs
- SUSY Statistical Mechanics and Random Band Matrices
- A supersymmetric approach to martingales related to the vertex-reinforced jump process
- Matrix Dufresne Identities
- Brownian Motion
- A relationship between Brownian motions with opposite drifts via certain enlargements of the Brownian filtration
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