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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 296 - graduate student colloquium
tianyi zheng
ucsd
how groups grow
abstract:
given a cayley graph of a finitely generated group, one can consider its growth function which counts how many elements are there in a ball of radius n on the graph. we will discuss two seminal results in the subject of growth of groups proved in early 1980s: gromov’s polynomial growth theorem and grigorchuk’s construction of groups of intermediate growth. we will illustrate how random walks on the cayley graphs can help to study growth.
host: jon novak
march 14, 2018
12:00 pm
ap&m 6402
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