Event Type:

Number Theory Seminar

Date/Time:

Tuesday, February 1, 2022 - 10:00 to 10:50

Guest Speaker:

Institution:

Oklahoma State University

Abstract:

We consider the dynamics of stochastic families of rational maps on the projective line. As these families can be infinite and may not typically be defined over a single number field, we introduce the concept of generalized adelic measures and prove an equidistribution result for these generalized adelic measures. Using this result, we can prove an equidistribution result for random backwards orbits in stochastic arithmetic dynamics. This is joint work with John Doyle and Paul Fili.

Host: