Scaling limit for random walk on the range of random walk in four dimensions
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Publication:2686607
DOI10.1214/22-AIHP1243MaRDI QIDQ2686607
Daisuke Shiraishi, David A. Croydon
Publication date: 28 February 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/2104.03459
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37) Random walks on graphs (05C81)
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Cites Work
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- Exact value of the resistance exponent for four dimensional random walk trace
- Heat kernel for random walk trace on \(\mathbb Z^{3}\) and \(\mathbb Z^{4}\)
- Random walk on the range of random walk
- Local limit theorems for sequences of simple random walks on graphs
- Heat kernel estimates for strongly recurrent random walk on random media
- Escape probabilities for slowly recurrent sets
- Cut times for simple random walk
- On Brownian motion, simple paths, and loops
- Scaling limits of stochastic processes associated with resistance forms
- Hausdorff measure of arcs and Brownian motion on Brownian spatial trees
- Time-changes of stochastic processes associated with resistance forms
- Invariance principle for variable speed random walks on trees
- Brownian motion on ℝ-trees
- Resistance forms, quasisymmetric maps and heat kernel estimates
- Random Walks and Heat Kernels on Graphs
- Random walk loop soup
- Random Walk: A Modern Introduction
- Scaling Limit for the Ant in High‐Dimensional Labyrinths
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