Annecy, April 2012.

Ron Peled's Home Page

I am an associate professor in the School of Mathematical Sciences of Tel Aviv University. My research interests are in Probability Theory, Statistical Physics and related fields.

231 Schreiber Building, School of Mathematical Sciences, Tel Aviv University
Ramat Aviv, Tel Aviv 69978, Israel

Email: peledron (* the at symbol *)
Phone: (+972)3-6408034


Support from the Israeli Science Foundation grants 1048/11 and 861/15, the Marie Skłodowska-Curie Actions International Reintegration Grant SPTRF and the ERC Starting Grant LocalOrder is gratefully acknowledged.

Lecture Notes and Videos of Talks

Post-docs and Students supervised


A Mathematical Gallery

Below are pictures from some of the projects that I have worked on. Click on some of the pictures for more information and related pictures.

Uniformly sampled homomorphism and Lipschitz functions in 2 and 3 dimensions
Left column: homomorphism and Lipschitz functions on a 100 x 100 square with zero boundary values
Right column: middle slice of homomorphism and Lipschitz functions on a 100 x 100 x 100 cube with zero boundary values

Top: the outermost level sets separating zeros and ones of a uniformly sampled homomorphism on a 40 x 40 and 300 x 300 squares with zero boundary values (pictures produced with the help of Steven M. Heilman)
Bottom: The shift transformation applied to the level set of a homomorphism function. This transformation is a major tool in the analysis of homomorphism functions in high dimensions

Gradient Flow / Gravitational Allocation (pictures based on code by Manjunath Krishnapur)
First row: Allocation to the zeros of the planar, hyperbolic and spherical canonical Gaussian Analytic Functions (all cells have equal areas!)
Second row: The potential for the allocations to the planar and hyperbolic Gaussian Analytic Functions.

K-wise independent percolation

4 coloring of Poisson-Voronoi map.

Rough isometry of 1D percolations

Brownian motion on a geometric state space and on the Cantor set
(pictures courtesy of Peter Ralph)