655 citations
- California Institute of TechnologyUS6 papers
- University of WashingtonUS6 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Fermi National Accelerator LaboratoryUS5 papers
- Pennsylvania State UniversityUS5 papers
- Space Telescope Science InstituteUS5 papers
- Carnegie Mellon UniversityUS4 papers
- Drexel UniversityUS4 papers
- New York UniversityUS4 papers
- Princeton UniversityUS4 papers
- Université Paris CitéFR4 papers
- University of ChicagoUS4 papers
5 papers · 1 filter
Martingales and character ratios
Jason Fulman
Some general connections between martingales and character ratios of finite groups are developed. As an application we sharpen the convergence rate in a central limit theorem for t…
Good orbital integrals
Clifton Cunningham, Thomas C. Hales
This paper concerns a class of orbital integrals in Lie algebras over p-adic fields. The values of these orbital integrals at the unit element in the Hecke algebra count points on…
Stein's Method and Plancherel Measure of the Symmetric Group
Jason Fulman
We initiate a Stein's method approach to the study of the Plancherel measure of the symmetric group. A new proof of Kerov's central limit theorem for character ratios of random rep…
Orbital Integrals are Motivic
Thomas C. Hales
This article shows that under general conditions, p-adic orbital integrals of definable functions are represented by virtual Chow motives. This gives an explicit example of the phi…
Virtual Transfer Factors
Julia Gordon, Thomas C. Hales
The Langlands-Shelstad transfer factor is a function defined on some reductive groups over a p-adic field. Near the origin of the group, it may be viewed as a function on the Lie a…