Loop-erased random walk on a torus in dimensions 4 and above
Itai Benjamini, Gady Kozma
Abstract
Sharp estimates for the length of loop erased random walk between two vertices on the [n]d -torus, d > 4, are established. The mean length is order nd/2 . In dimension 4 we have only an upper bound.
Create a lesson
Related papers
Sublinear multi-type preferential attachment
Anna Ben-Hamou, Nicolas Broutin, Camille Cazaux
Uniform Central Limit Theorems for Degree Distributions of Sparse Graphon Models
Robert Lunde, Soumendra Lahiri
Matching Random Point Sets with Minimum Distortion
Itai Benjamini, Mark Braverman, Elad Tzalik et al.
Uniqueness and full coverage in k-neighbor graphs
David Coupier, Benoît Henry, Benedikt Jahnel et al.
Bass martingales need not stretch
Mathias Beiglböck, Manuel Hasenbichler, Gudmund Pammer
Universality of smallest singular values of random row submatrices and phase retrieval problems
Shu Wen, Christian E. Häggblom, Xiufan Yang