activity
20022026
most citedThe Alexander-Orbach conjecture holds in high dimensions

123 citations · 651 across the 93 of their papers we have counts for

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Showing 2013Show all

7 papers · 1 filter

math.PR2013★ 5 cited

Lower bound for the escape probability in the Lorentz Mirror Model on the lattice

Gady Kozma, Vladas Sidoravicius

We show that in the Lorentz mirror model, at any density of mirrors, the probability of a particle starting at the origin to reach distance n is at least 1/(2n+1).

math.PR2013★ 6 cited

Excited random walk with periodic cookies

Gady Kozma, Tal Orenshtein, Igor Shinkar

In this paper we consider an excited random walk on in identically piled periodic environment. This is a discrete time process on defined by parameters $(…

math.PR2013

One-dimensional long-range Diffusion Limited Aggregation II: the transient case

Gideon Amir, Omer Angel, Gady Kozma

We examine diffusion-limited aggregation for a one-dimensional random walk with long jumps. We achieve upper and lower bounds on the growth rate of the aggregate as a function of t…

math.PR2013

Counting bats

Itai Benjamini, Gady Kozma

We demonstrate an algorithm that reconstructs the number of walkers in an unknown graph from observations of their returns to a fixed point.

math.PR2013★ 10 cited

Percolation of finite clusters and infinite surfaces

Geoffrey R. Grimmett, Alexander E. Holroyd, Gady Kozma

Two related issues are explored for bond percolation on the d-dimensional cubic lattice (with d > 2) and its dual plaquette process. Firstly, for what values of the parameter p doe…

math.PR2013★ 17 cited

Seven-dimensional forest fires

Daniel Ahlberg, Hugo Duminil-Copin, Gady Kozma +1

We show that in high dimensional Bernoulli percolation, removing from a thin infinite cluster a much thinner infinite cluster leaves an infinite component. This observation has imp…