Matches in SemOpenAlex for { <https://semopenalex.org/work/W2231844552> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2231844552 abstract "In this work, we study pmp actions of countable groups on arbitrary diffuse probability spaces under the point of view of weak equivalence. We will show that any such an action is weakly equivalent to an action on a standard probability space. We also propose a metric on the space of actions modulo weak equivalence which is equivalent to the topology of Ab'{e}rt and Elek. We will give a simpler proof of the compactness of the space, showing that convergence is characterized by ultraproducts. Using this topology, we will show that a profinite action is weakly equivalent to an ultraproduct of finite actions. Finally, combining our results with another result of Ab'{e}rt and Elek, we will obtain a corollary about sofic entropy. We will show that for free groups and some property (T) groups, sofic entropy of profinite actions depends crucially on the chosen sofic approximation." @default.
- W2231844552 created "2016-06-24" @default.
- W2231844552 creator A5022802131 @default.
- W2231844552 date "2015-09-10" @default.
- W2231844552 modified "2023-09-27" @default.
- W2231844552 title "Ultraproducts, weak equivalence and sofic entropy" @default.
- W2231844552 cites W1539018809 @default.
- W2231844552 cites W1988423535 @default.
- W2231844552 cites W2012497542 @default.
- W2231844552 cites W2082843053 @default.
- W2231844552 cites W2128486623 @default.
- W2231844552 cites W2269098090 @default.
- W2231844552 cites W2278975145 @default.
- W2231844552 cites W2282033349 @default.
- W2231844552 cites W2949920754 @default.
- W2231844552 cites W2963421294 @default.
- W2231844552 cites W2964297208 @default.
- W2231844552 hasPublicationYear "2015" @default.
- W2231844552 type Work @default.
- W2231844552 sameAs 2231844552 @default.
- W2231844552 citedByCount "2" @default.
- W2231844552 countsByYear W22318445522016 @default.
- W2231844552 countsByYear W22318445522017 @default.
- W2231844552 crossrefType "posted-content" @default.
- W2231844552 hasAuthorship W2231844552A5022802131 @default.
- W2231844552 hasConcept C105433845 @default.
- W2231844552 hasConcept C106301342 @default.
- W2231844552 hasConcept C110729354 @default.
- W2231844552 hasConcept C118615104 @default.
- W2231844552 hasConcept C121332964 @default.
- W2231844552 hasConcept C12871628 @default.
- W2231844552 hasConcept C134306372 @default.
- W2231844552 hasConcept C14735163 @default.
- W2231844552 hasConcept C167930466 @default.
- W2231844552 hasConcept C202444582 @default.
- W2231844552 hasConcept C2781311116 @default.
- W2231844552 hasConcept C33923547 @default.
- W2231844552 hasConcept C62520636 @default.
- W2231844552 hasConcept C70710897 @default.
- W2231844552 hasConceptScore W2231844552C105433845 @default.
- W2231844552 hasConceptScore W2231844552C106301342 @default.
- W2231844552 hasConceptScore W2231844552C110729354 @default.
- W2231844552 hasConceptScore W2231844552C118615104 @default.
- W2231844552 hasConceptScore W2231844552C121332964 @default.
- W2231844552 hasConceptScore W2231844552C12871628 @default.
- W2231844552 hasConceptScore W2231844552C134306372 @default.
- W2231844552 hasConceptScore W2231844552C14735163 @default.
- W2231844552 hasConceptScore W2231844552C167930466 @default.
- W2231844552 hasConceptScore W2231844552C202444582 @default.
- W2231844552 hasConceptScore W2231844552C2781311116 @default.
- W2231844552 hasConceptScore W2231844552C33923547 @default.
- W2231844552 hasConceptScore W2231844552C62520636 @default.
- W2231844552 hasConceptScore W2231844552C70710897 @default.
- W2231844552 hasLocation W22318445521 @default.
- W2231844552 hasOpenAccess W2231844552 @default.
- W2231844552 hasPrimaryLocation W22318445521 @default.
- W2231844552 hasRelatedWork W1498724418 @default.
- W2231844552 hasRelatedWork W1608408159 @default.
- W2231844552 hasRelatedWork W1805285334 @default.
- W2231844552 hasRelatedWork W1963528753 @default.
- W2231844552 hasRelatedWork W2005901467 @default.
- W2231844552 hasRelatedWork W2053944816 @default.
- W2231844552 hasRelatedWork W2318048558 @default.
- W2231844552 hasRelatedWork W2344560862 @default.
- W2231844552 hasRelatedWork W2884894006 @default.
- W2231844552 hasRelatedWork W2891181547 @default.
- W2231844552 hasRelatedWork W2963300835 @default.
- W2231844552 hasRelatedWork W2963733075 @default.
- W2231844552 hasRelatedWork W2964305890 @default.
- W2231844552 hasRelatedWork W2992665596 @default.
- W2231844552 hasRelatedWork W3004432342 @default.
- W2231844552 hasRelatedWork W3099098367 @default.
- W2231844552 hasRelatedWork W3100896340 @default.
- W2231844552 hasRelatedWork W3103903558 @default.
- W2231844552 hasRelatedWork W3104488659 @default.
- W2231844552 hasRelatedWork W3194949170 @default.
- W2231844552 isParatext "false" @default.
- W2231844552 isRetracted "false" @default.
- W2231844552 magId "2231844552" @default.
- W2231844552 workType "article" @default.