SOFIC GROUPS AND DYNAMICAL SYSTEMS

By Barak Weiss. 2000

199 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2e6c0132f38c865479e459affb695753bf785fde

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Citations in the corpus

Injective linear cellular automata and sofic groups (2007, background): “It can be shown (see [ Wei ]) that this definition does not depend on the choice of S and that it can be extended as follows.”
Measure conjugacy invariants for actions of countable sofic groups (2008, methodology): “These groups were defined implicitly by Gromov in [Gr99] and explicitly by Weiss in [ We00 ].”
Entropy and the variational principle for actions of sofic groups (2010, unknown): “This yields an entropy proof of Gromov’s result that countable sofic groups are surjunctive [11] (see also [19]) in line with what Gromov observed in the case of amenable groups using classical entropy.”
Processes on Unimodular Random Networks (2006, background): “Weiss (2000) gave another proof of Gottschalk’s conjecture for sofic groups.”
ALMOST SOLUTIONS OF EQUATIONS IN PERMUTATIONS (2007, background): “One of the motivations to consider such a question is studying sofic groups, a class of groups that was introduced by Gromov and Weiss [6, 12].”
Sofic groups and diophantine approximation (2007, background): “Later, the term sofic was coined by B.Weiss in [ 17 ], who studied these groups in connection with dynamical systems.”
Hyperlinearity, essentially free actions and L2-invariants. The sofic property (2004, background): “It is known [8],[18],[6] that the LEF -groups are sofic.”
Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture (2013, background): “Sofic groups are a class of countable discrete groups introduced by Gromov in [59] (even though the name “sofic” was coined by Weiss in [120]).”