Click here to flash read.
arXiv:2403.18532v1 Announce Type: new
Abstract: We study limit laws for simple random walks on supercritical long-range percolation clusters on the integer lattice. For the long range percolation model, the probability that two vertices are connected behaves asymptotically as a negative power of distance between them. We prove that the scaling limit of simple random walk on the infinite component converges to an isotropic alpha-stable Levy process. This complements the work of Crawford and Sly, who proved the corresponding result for alpha between 0 and 1. The convergence holds in both the quenched and annealed senses.
Click here to read this post out
ID: 806954; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: March 28, 2024, 7:32 a.m.
Changes:
Dictionaries:
Words:
Spaces:
Views: 10
CC:
No creative common's license
No creative common's license
Comments: