By Tianyi Zheng
We consider a natural class of long range random walks on nilpotent groups and develop limit theorems for these walks. The limiting process lives on a nilpotent Lie group which carries an adapted dilation structure and a stable-like process which appears as the limit of a rescaled version of the random walk. Both the limit group and the limit process on that group depend on the random walk. In addition, the Donsker-type functional limit theorem is complemented by a local limit theorem.
Joint with Z.Q. Chen, T. Kumagai, L. Saloff-Coste and J. Wang.
By Jeremie Brieussel
By Ivan Mitrofanov
By Rostislav Grigorchuk
By Alejandra Garrido
By Dominik Francoeur
By Yair Hartman
By Mikhail Lyubich
By Vadim Kaimanovich
By Anitha Thillaisundaram
By Mikael de la Salle
By Josh Frisch
By Marialaura Noce
By Yves de Cornulier
By Clément Delcamp
By Ronnie Pavlov
By Tamara Kucherenko
