5 papers
Range convergence and sharp one-arm asymptotics for the critical percolation cluster in high dimensions
M. Cabezas, D. Croydon, A. Fribergh +1
For critical Bernoulli bond percolation on in the high-dimensional regime, we prove that the rescaled empirical measure of the cluster of the origin converges, in a suitable…
Asymptotic expansion of the critical point for oriented percolation in high dimensions
Noe Kawamoto
We study an asymptotic expansion of the critical point for the nearest-neighbor oriented percolation on in powers of as . The proof reli…
Rate of convergence of the critical point of the memory- self-avoiding walk in dimensions
Noe Kawamoto
We consider spread-out models of the self-avoiding walk and its finite-memory version, known as the memory- walk, which prohibits loops whose length is at most , in dimension…
Mathematical aspects of the Digital Annealer's simulated annealing algorithm
Bruno Hideki Fukushima-Kimura, Noe Kawamoto, Eitaro Noda +1
The Digital Annealer is a CMOS hardware designed by Fujitsu Laboratories for high-speed solving of Quadratic Unconstrained Binary Optimization (QUBO) problems that could be difficu…
Spread-out limit of the critical points for lattice trees and lattice animals in dimensions d>8
Noe Kawamoto, Akira Sakai
A spread-out lattice animal is a finite connected set of edges in . A lattice tree is a lattice animal with no loops.The best est…