On Comb(Z^2, f_gamma) with f_gamma(z) = floor(log^gamma ||z||_inf), two independent random walks collide finitely often a.s. if gamma > 1 and infinitely often if gamma <= 1; analogous thresholds are proved for fractal and percolation bases.
Random walks and heat kernels on graphs, volume438of London Mathematical Society Lecture Note Series
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.PR 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Collisions of random walks on comb graphs with a planar base
On Comb(Z^2, f_gamma) with f_gamma(z) = floor(log^gamma ||z||_inf), two independent random walks collide finitely often a.s. if gamma > 1 and infinitely often if gamma <= 1; analogous thresholds are proved for fractal and percolation bases.