Evan Randles
Associate Professor of Mathematics
Department of Mathematics
Colby College
5834 Mayflower Hill
Waterville ME 04901
News
•(2/26) My new manuscript ``Generalized Gaussian Estimates and Local Limit Theorems for Discrete Convolution Powers of Complex Functions: The d-dimensional case" (coauthored by Pedro H. Alves `26) has appeared on the ArXiV. This paper establishes generalized Gaussian estimates and local (central) limit theorems with Gaussian-type error for the convolution powers of a large class of complex-valued functions on the d-dimensional integer lattice. Check out our preprint here.
•(7/25) My new article ``The predictable dance of random walk" (coauthored by Yutong (Tony) Yan `25) has been submitted. The paper extends the classical local limit theorem on the d-dimensional lattice to the setting of finitely-generated abelian groups and completely removes any and all assumptions concerning aperiodicity and irreducibility. Check out our preprint here.
•(4/25) Abigail Curtis did a wonderful job describing my collaboration and current work with Yutong (Tony) Yan `25 on random walk theory. Check out her article A better understanding of the dance in Colby News.
•(4/25) I will present in the Special Session on Orthogonal Polynomials and Related Topics in Analysis at the AMS Eastern Sectional Meetings in Hartford, CT.
•(1/25) My honors student Yutong (Tony) Yan `25 will be speaking on our recent joint work at the Joint Mathematics Meetings in Seattle. The title of Tony's talk is ``A Predictable Dance: Local Limit Theorems for Finitely Generated Abelian Groups"; more information can be found here.
•(12/24) I was granted tenure, promoted to the rank of associate professor, and awarded the Haynesville Fellowship.
