# Graduate Student Pizza Seminar

*at the Department of Mathematics, Rutgers University*

*Coordinators: Brian Pinsky and Rashmika Goswami*

## Next Seminar:

Date: | October 25 |
---|---|

Speaker: | Forrest Thurman |

Time: | 1:40pm |

Place: | Graduate Student Lounge, 7th Floor, Hill Center |

Title: | Forrest-Emailed-Me-An-Abstract-But-Forgot-To-Include-A-Title-So-I-Asked-Him-About-It-In-Person-And-He-Told-Me-A-Title-But-I-Forgot-What-It-Was-So-You'll-Just-Have-To-Read-The-Abstract |

Abstract: | I will discuss a surprising correspondence between symmetric probability measures with infinite support on [-1,1] and random walks on the non-negative integers. The correspondence makes use of orthogonal polynomials and their recurrence relations. One can determine whether a random walk is recurrent or positive recurrent from knowing its corresponding measure. Time permitting, I will briefly discuss the analogous theory for probability measures supported on the unit circle and certain random walks on the non-negative integers given by CMV matrices. |