报告题目：Boundary of branching random walks on hyperbolic groups
报 告 人：向开南教授（湘潭大学）
In p.275 of his classical book [T. M. Liggett. (1985). Interacting particle systems. Springer], T. M. Liggett remarked that “The importance of critical exponents is based largely on what is known as the universality principle, which plays an important role in mathematical physics.” Here universality principle means that while the value of critical parameter will usually depend on the details of the definition of the model, the value of critical exponent will be the same for large classes of models (called universality classes).
This principle has been an important source of problems in mathematical physics and probability theory. This talk is based on a joint work with Shi Zhan, Sidoravicius Vladas and Wang Longmin, and presents a result on universality of critical exponent for Hausdorff dimensions of boundaries of branching random walks on hyperbolic groups.