Quenched Exit Times for Random Walk on Dynamical Percolation

• We consider random walk on dynamical percolation on the discrete torus Z(n)(d). In previous work, mixing times of this process for p < p(c)(Z(d)) were obtained in the annealed setting where one averages over the dynamical percolation environment. Here we study exit times in the quenched setting, where we condition on a typical dynamical percolation environment. We obtain an upper bound for all p which for p < p(c) matches the known upper bound.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Nyckelord

dynamical percolation

random walk

hitting times

mixing times

Mathematics

hitting times

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)