Matches in SemOpenAlex for { <https://semopenalex.org/work/W2536691739> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2536691739 abstract "Let $$M_p(X,T)$$ denote the Markov type p constant at time T of a metric space X, where $$p ge 1$$ . We show that $$M_p(Y,T) le M_p(X,T)$$ in each of the following cases: (a) X and Y are geodesic spaces and Y is covered by X via a finite-sheeted locally isometric covering, (b) Y is the quotient of X by a finite group of isometries, (c) Y is the $$L^p$$ -Wasserstein space over X. As an application of (a) we show that all compact flat manifolds have Markov type 2 with constant 1. In particular the circle with its intrinsic metric has Markov type 2 with constant 1. This answers the question raised by S.-I. Ohta and M. Pichot. Parts (b) and (c) imply new upper bounds for Markov type constants of the $$L^p$$ -Wasserstein space over $${mathbb {R}}^d$$ . These bounds were conjectured by A. Andoni, A. Naor and O. Neiman. They imply certain restrictions on bi-Lipschitz embeddability of snowflakes into such Wasserstein spaces." @default.
- W2536691739 created "2016-10-28" @default.
- W2536691739 creator A5005648967 @default.
- W2536691739 date "2017-10-12" @default.
- W2536691739 modified "2023-09-24" @default.
- W2536691739 title "Markov type constants, flat tori and Wasserstein spaces" @default.
- W2536691739 cites W2005774001 @default.
- W2536691739 cites W2010832227 @default.
- W2536691739 cites W2026643055 @default.
- W2536691739 cites W2027673210 @default.
- W2536691739 cites W2034889029 @default.
- W2536691739 cites W2071784063 @default.
- W2536691739 cites W2097636047 @default.
- W2536691739 cites W2120096103 @default.
- W2536691739 cites W2137524884 @default.
- W2536691739 cites W2318624729 @default.
- W2536691739 cites W2942798256 @default.
- W2536691739 cites W2962854742 @default.
- W2536691739 cites W4248500611 @default.
- W2536691739 doi "https://doi.org/10.1007/s10711-017-0287-0" @default.
- W2536691739 hasPublicationYear "2017" @default.
- W2536691739 type Work @default.
- W2536691739 sameAs 2536691739 @default.
- W2536691739 citedByCount "1" @default.
- W2536691739 countsByYear W25366917392019 @default.
- W2536691739 crossrefType "journal-article" @default.
- W2536691739 hasAuthorship W2536691739A5005648967 @default.
- W2536691739 hasBestOaLocation W25366917392 @default.
- W2536691739 hasConcept C105795698 @default.
- W2536691739 hasConcept C134306372 @default.
- W2536691739 hasConcept C18903297 @default.
- W2536691739 hasConcept C192939610 @default.
- W2536691739 hasConcept C199360897 @default.
- W2536691739 hasConcept C202444582 @default.
- W2536691739 hasConcept C206352148 @default.
- W2536691739 hasConcept C2524010 @default.
- W2536691739 hasConcept C2777027219 @default.
- W2536691739 hasConcept C2777299769 @default.
- W2536691739 hasConcept C33923547 @default.
- W2536691739 hasConcept C41008148 @default.
- W2536691739 hasConcept C68363185 @default.
- W2536691739 hasConcept C86803240 @default.
- W2536691739 hasConcept C9767117 @default.
- W2536691739 hasConcept C98763669 @default.
- W2536691739 hasConceptScore W2536691739C105795698 @default.
- W2536691739 hasConceptScore W2536691739C134306372 @default.
- W2536691739 hasConceptScore W2536691739C18903297 @default.
- W2536691739 hasConceptScore W2536691739C192939610 @default.
- W2536691739 hasConceptScore W2536691739C199360897 @default.
- W2536691739 hasConceptScore W2536691739C202444582 @default.
- W2536691739 hasConceptScore W2536691739C206352148 @default.
- W2536691739 hasConceptScore W2536691739C2524010 @default.
- W2536691739 hasConceptScore W2536691739C2777027219 @default.
- W2536691739 hasConceptScore W2536691739C2777299769 @default.
- W2536691739 hasConceptScore W2536691739C33923547 @default.
- W2536691739 hasConceptScore W2536691739C41008148 @default.
- W2536691739 hasConceptScore W2536691739C68363185 @default.
- W2536691739 hasConceptScore W2536691739C86803240 @default.
- W2536691739 hasConceptScore W2536691739C9767117 @default.
- W2536691739 hasConceptScore W2536691739C98763669 @default.
- W2536691739 hasFunder F4320324099 @default.
- W2536691739 hasLocation W25366917391 @default.
- W2536691739 hasLocation W25366917392 @default.
- W2536691739 hasOpenAccess W2536691739 @default.
- W2536691739 hasPrimaryLocation W25366917391 @default.
- W2536691739 hasRelatedWork W1547820359 @default.
- W2536691739 hasRelatedWork W1618708454 @default.
- W2536691739 hasRelatedWork W2002429353 @default.
- W2536691739 hasRelatedWork W2005622867 @default.
- W2536691739 hasRelatedWork W2024305824 @default.
- W2536691739 hasRelatedWork W2046583247 @default.
- W2536691739 hasRelatedWork W2048270705 @default.
- W2536691739 hasRelatedWork W2052835109 @default.
- W2536691739 hasRelatedWork W2064015399 @default.
- W2536691739 hasRelatedWork W2795880184 @default.
- W2536691739 hasRelatedWork W2898055090 @default.
- W2536691739 hasRelatedWork W2951066621 @default.
- W2536691739 hasRelatedWork W2963063512 @default.
- W2536691739 hasRelatedWork W2963673977 @default.
- W2536691739 hasRelatedWork W2964029106 @default.
- W2536691739 hasRelatedWork W3021144991 @default.
- W2536691739 hasRelatedWork W3042224071 @default.
- W2536691739 hasRelatedWork W3099334923 @default.
- W2536691739 hasRelatedWork W3129813859 @default.
- W2536691739 hasRelatedWork W3177829345 @default.
- W2536691739 isParatext "false" @default.
- W2536691739 isRetracted "false" @default.
- W2536691739 magId "2536691739" @default.
- W2536691739 workType "article" @default.