Hausdorff dimension of the scaling limit of loop-erased random walk in three dimensions
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Publication:2320384
DOI10.1214/18-AIHP899zbMath1447.82016arXiv1604.08091WikidataQ127870380 ScholiaQ127870380MaRDI QIDQ2320384
Publication date: 22 August 2019
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/1604.08091
Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
Related Items (4)
Loop-erased partitioning of a graph: mean-field analysis ⋮ Loop-erased random walk as a spin system observable ⋮ One-point function estimates for loop-erased random walk in three dimensions ⋮ The Hölder continuity of the scaling limit of three-dimensional loop-erased random walk
Cites Work
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- The probability that planar loop-erased random walk uses a given edge
- Exponential tail bounds for loop-erased random walk in two dimensions
- The dimension of the SLE curves
- The growth exponent for planar loop-erased random walk
- A self-avoiding random walk
- Cut times for simple random walk
- The Brownian loop soup
- Scaling limits of loop-erased random walks and uniform spanning trees
- On Brownian motion, simple paths, and loops
- Growth exponent for loop-erased random walk in three dimensions
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- Hausdorff dimension of cut points for Brownian motion
- The scaling limit of loop-erased random walk in three dimensions
- The asymptotic determinant of the discrete Laplacian
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