Isoperimetric profile and random walks on locally compact solvable groups

DOI10.4171/RMI/736zbMath1267.43004arXiv0706.4257MaRDI QIDQ1955681

Romain Tessera

Publication date: 17 June 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4257

zbMATH Keywords

isoperimetric profilerandom walks on groupssolvable locally compact groups\(L^P\)-cohomology

Mathematics Subject Classification ID

Geometric group theory (20F65) Analysis on (p)-adic Lie groups (22E35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (10)

On the \(L^p\)-distortion of finite quotients of amenable groups ⋮ Separation profile, isoperimetry, growth and compression ⋮ Asymptotic behaviors of random walks on countable groups ⋮ The Brownian motion on 𝐴𝑓𝑓(ℝ) and quasi-local theorems ⋮ Speed of random walks, isoperimetry and compression of finitely generated groups ⋮ Vanishing of ℓ^p-cohomology and transportation cost ⋮ Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property \(H_{\mathrm{FD}}\) ⋮ On the vanishing of reduced 1-cohomology for Banach representations ⋮ Isoperimetric profiles and random walks on some groups defined by piecewise actions ⋮ Metabelian groups with large return probability

Cites Work

• Finite presentability of S-arithmetic groups. Compact presentability of solvable groups
• A Lower Estimate for Central Probabilities on Polycyclic Groups

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