Itai Benjamini

Itai Benjamini (* in Israel ) is an Israeli mathematician and professor at the Weizmann Institute .

Benjamini received his PhD in 1992 under Benjamin Weiss at the Hebrew University in Jerusalem (Random Walks on Graphs and Manifolds).

Benjamini studied among other things random walks on graphs (and of circular packings ), among other things what kind of information results from the observation of the return time of a random walk of a "bat" on a graph over the graph, models for traffic flow with cellular automata , dealt with Percolation theory and differential geometry.

He has published with Oded Schramm (whose collected works he edited with Olle Häggström), Yuval Peres and Harry Kesten . The Benjamini-Schramm convergence is named after him and Oded Schramm .

In 2004 he received the Rollo Davidson Prize . In 2010 he was invited speaker at the International Congress of Mathematicians in Hyderabad ( Random planar metrics ).

Fonts (selection)

• with Jianguo Cao: A new isoperimetric comparison theorem for surfaces of variable curvature, Duke Mathematical Journal, Volume 85, 1996, pp. 359-396
• with Russell Lyons, Yuval Peres, Oded Schramm: Uniform spanning forests, Annals of Probability, Volume 29, 2001, pp. 1-65
• with Hugo Duminil-Copin , Gady Kozma , Ariel Yadin: Disorder, entropy and harmonic functions, Annals of Probability, Volume 43, 2015, pp. 2332-2372, Arxiv
• Coarse geometry and randomness, École d'Été de Probabilités de Saint-Flour XLI - 2011, pdf
• with Gady Kozma, Laszlo Lovasz , Dan Romik, Gábor Tardos : Waiting for a bat to fly by (in polynomial time), Combin. Prob. Comput., Vol. 15, 2006, pp. 673-683, Arxiv
• with Gady Kozma: Counting Bats, 2013, Arxiv

Web links

• Homepage

Individual evidence

1. ↑ Itai Benjamini in the Mathematics Genealogy Project (English)
2. ↑ Itai Benjamini, Ori Gurel-Gurevich, Roey Izkovsky, The Biham-Middleton-Levine traffic model for a single junction, 2007, Arxiv