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- W4387570112 abstract "Abstract We prove a concentration inequality for invariant means on topological groups, namely for such adapted to a chain of amenable topological subgroups. The result is based on an application of Azuma’s martingale inequality and provides a method for establishing extreme amenability. Building on this technique, we exhibit new examples of extremely amenable groups arising from von Neumann’s continuous geometries. Along the way, we also answer a question by Pestov on dynamical concentration in direct products of amenable topological groups." @default.
- W4387570112 created "2023-10-13" @default.
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- W4387570112 date "2023-10-12" @default.
- W4387570112 modified "2023-10-13" @default.
- W4387570112 title "Concentration of invariant means and dynamics of chain stabilizers in continuous geometries" @default.
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- W4387570112 doi "https://doi.org/10.1007/s00039-023-00651-w" @default.
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