Department of

February 2020 March 2020 April 2020 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 1 2 3 4 5 6 7 1 2 3 4 2 3 4 5 6 7 8 8 9 10 11 12 13 14 5 6 7 8 9 10 11 9 10 11 12 13 14 15 15 16 17 18 19 20 21 12 13 14 15 16 17 18 16 17 18 19 20 21 22 22 23 24 25 26 27 28 19 20 21 22 23 24 25 23 24 25 26 27 28 29 29 30 31 26 27 28 29 30

Wednesday, March 11, 2020

**Abstract:** To motivate Kesten's theorem and its version for IRS, we will discuss random walks on graphs, the associated Markov operators, and the spectral radius. We will prove that the spectral radius is equal to the norm of the Markov operator.