Isoperimetric profile and random walks on locally compact solvable groups | Zendy

Romain Tessera | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Isoperimetric profile and random walks on locally compact solvable groups

Author(s) -

Romain Tessera

Publication year - 2013

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/736

Subject(s) - isoperimetric inequality , mathematics , random walk , class (philosophy) , algebraic number , locally compact space , pure mathematics , combinatorics , mathematical analysis , computer science , statistics , artificial intelligence

We study a large class of amenable locally compact groups containing all solvable algebraic groups over a local field and their discrete subgroups. We show that the isoperimetric profile of these groups is in some sense optimal among amenable groups. We use this fact to compute the probability of return of symmetric random walks, and to derive various other geometric properties which are likely to be only satisfied by these groups.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research