Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, September 17, 2009, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Luca Gugelmann

Random walks and electrical networks

The aim of this talk is to present the connections that exist between random walks on a graph G and the electrical network obtained by replacing each edge of G with a resistor. We will then use these connections together with well known facts about electrical networks (Ohm's law, Kirchhoff's laws, Rayleigh...) to prove Polya's famous theorem that the random walk in Z^d is recurrent for d=1,2 and transient otherwise.

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