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 2006Show all

6 papers · 1 filter

math.MG2006★ 2 cited

On the hyperplane conjecture for random convex sets

Bo'az Klartag, Gady Kozma

Let N > n, and denote by K the convex hull of N independent standard gaussian random vectors in an n-dimensional Euclidean space. We prove that with high probability, the isotropic…

math.CA2006

One cannot hear the winding number

Jean Bourgain, Gady Kozma

We construct an example of two continuous maps f and g of the circle to itself with the same absolute value of the Fourier transform but with different winding numbers, answering a…

math.PR2006★ 61 cited

Anomalous heat-kernel decay for random walk among bounded random conductances

Noam Berger, Marek Biskup, Christopher E. Hoffman +1

We consider the nearest-neighbor simple random walk on , , driven by a field of bounded random conductances . The conductance law is i.i.d. subject to…

math.PR2006★ 19 cited

The mixing time of the giant component of a random graph

Itai Benjamini, Gady Kozma, Nicholas Wormald

We show that the total variation mixing time of the simple random walk on the giant component of supercritical Erdos-Renyi graphs is log^2 n. This statement was only recently prove…

math.PR2006

On the connectivity of the Poisson process on fractals

Gady Kozma, Zvi Lotker, Gideon Stupp

For a measure mu supported on a compact connected subset of a Euclidean space which satisfies a uniform d-dimensional decay of the volume of balls we show that the maximal edge in…

math.CA2006

On the gaps between zeros of trigonometric polynomials

Gady Kozma, Ferenc Oravecz

We show that for every finite symetric set S of integer vectors, every real trigonometric polynomial on the d dimensional torus with spectrum in S has a zero in every closed ball o…