#### Filter Results:

- Full text PDF available (22)

#### Publication Year

1998

2018

- This year (1)
- Last 5 years (5)
- Last 10 years (10)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- József Balogh, Gábor Pete
- Random Struct. Algorithms
- 1998

We introduce some generalizations of a nice combinatorial problem, the central notion of which is the so-called Disease Process. Let us color independently each square of an n×n chessboard black with… (More)

- Amos Lapidoth, Gábor Pete
- 2008 IEEE 25th Convention of Electrical and…
- 2008

We show that the entropy of the sum of independent random variables can greatly differ from the entropy of their difference. The gap between the two entropies can be arbitrarily large. This holds for… (More)

- József Balogh, Yuval Peres, Gábor Pete
- Combinatorics, Probability & Computing
- 2006

Bootstrap percolation on an arbitrary graph has a random Bernoulli(p) initial configuration of occupied sites and a deterministic spreading rule with a fixed parameter k: if a vacant site has at… (More)

Consider the indicator function f of a two-dimensional percolation crossing event. In this paper, the Fourier transform of f is studied and sharp bounds are obtained for its lower tail in several… (More)

- Gábor Pete
- 2007

We show that for all p > pc(Z) percolation parameters, the probability that the cluster of the origin is finite but has at least t vertices at distance one from the infinite cluster is exponentially… (More)

- Yuval Peres, Gábor Pete, Ariel Scolnicov
- 2006

An important conjecture in percolation theory is that almost surely no infinite cluster exists in critical percolation on any transitive graph for which the critical probability is less than 1.… (More)

- Alan Hammond, Gábor Pete, O. Schramm
- 2013

In dynamical critical site percolation on the triangular lattice or bond percolation on Z , we define and study a local time measure on the exceptional times at which the origin is in an infinite… (More)

Motivated by the renormalization method in statistical physics, Itai Benjamini defined a finitely generated infinite groupG to be scale-invariant if there is a nested sequence of finite index… (More)

- Gábor Pete
- 2009

This is a brief description of how the recent proof of the existence and conformal covari-ance of the scaling limits of dynamical and near-critical planar percolation implies the existence and… (More)

- Gábor Pete
- 2008

We consider a four-vertex model introduced by Bálint Tóth: a dependent bond percolation model on Z 2 in which every edge is present with probability 1/2 and each vertex has exactly two incident… (More)