Matches in SemOpenAlex for { <https://semopenalex.org/work/W2803688972> ?p ?o ?g. }
- W2803688972 abstract "In this paper we study the systole function along Weil-Petersson geodesics. We show that the square root of the systole function is uniformly Lipschitz on Teichmuller space endowed with the Weil-Petersson metric. As an application, we study the growth of the Weil-Petersson inradius of moduli space of Riemann surfaces of genus $g$ with $n$ punctures as a function of $g$ and $n$. We show that the Weil-Petersson inradius is comparable to $sqrt{ln{g}}$ with respect to $g$, and is comparable to $1$ with respect to $n$. Moreover, we also study the asymptotic behavior, as $g$ goes to infinity, of the Weil-Petersson volumes of geodesic balls of finite radii in Teichmuller space. We show that they behave like $o((frac{1}{g})^{(3-epsilon)g})$ as $gto infty$, where $epsilon>0$ is arbitrary." @default.
- W2803688972 created "2018-06-01" @default.
- W2803688972 creator A5054102228 @default.
- W2803688972 date "2018-05-23" @default.
- W2803688972 modified "2023-09-27" @default.
- W2803688972 title "Growth of the Weil-Petersson inradius of moduli space" @default.
- W2803688972 cites W1487878339 @default.
- W2803688972 cites W1494701719 @default.
- W2803688972 cites W1496286207 @default.
- W2803688972 cites W1503851492 @default.
- W2803688972 cites W1526007200 @default.
- W2803688972 cites W1581430693 @default.
- W2803688972 cites W1591527301 @default.
- W2803688972 cites W1606674658 @default.
- W2803688972 cites W16862691 @default.
- W2803688972 cites W1961656887 @default.
- W2803688972 cites W1963868735 @default.
- W2803688972 cites W1965077755 @default.
- W2803688972 cites W1966319192 @default.
- W2803688972 cites W1969550925 @default.
- W2803688972 cites W1970223613 @default.
- W2803688972 cites W1978567522 @default.
- W2803688972 cites W2001489661 @default.
- W2803688972 cites W2001668211 @default.
- W2803688972 cites W2008690918 @default.
- W2803688972 cites W2018327855 @default.
- W2803688972 cites W2021634481 @default.
- W2803688972 cites W2030227085 @default.
- W2803688972 cites W2041307487 @default.
- W2803688972 cites W2041943335 @default.
- W2803688972 cites W2055597870 @default.
- W2803688972 cites W2073277556 @default.
- W2803688972 cites W2079428867 @default.
- W2803688972 cites W2091844668 @default.
- W2803688972 cites W2101486222 @default.
- W2803688972 cites W2117374902 @default.
- W2803688972 cites W2117489802 @default.
- W2803688972 cites W2149288764 @default.
- W2803688972 cites W2153843629 @default.
- W2803688972 cites W2162610026 @default.
- W2803688972 cites W2327894583 @default.
- W2803688972 cites W2570329849 @default.
- W2803688972 cites W2962682751 @default.
- W2803688972 cites W2963357447 @default.
- W2803688972 cites W2963441390 @default.
- W2803688972 cites W2963446393 @default.
- W2803688972 cites W2963935421 @default.
- W2803688972 cites W2997100850 @default.
- W2803688972 cites W3099700518 @default.
- W2803688972 cites W3123218678 @default.
- W2803688972 hasPublicationYear "2018" @default.
- W2803688972 type Work @default.
- W2803688972 sameAs 2803688972 @default.
- W2803688972 citedByCount "1" @default.
- W2803688972 countsByYear W28036889722019 @default.
- W2803688972 crossrefType "posted-content" @default.
- W2803688972 hasAuthorship W2803688972A5054102228 @default.
- W2803688972 hasConcept C114614502 @default.
- W2803688972 hasConcept C134306372 @default.
- W2803688972 hasConcept C138885662 @default.
- W2803688972 hasConcept C157369684 @default.
- W2803688972 hasConcept C165818556 @default.
- W2803688972 hasConcept C169654258 @default.
- W2803688972 hasConcept C18556879 @default.
- W2803688972 hasConcept C202444582 @default.
- W2803688972 hasConcept C2778572836 @default.
- W2803688972 hasConcept C33923547 @default.
- W2803688972 hasConcept C41895202 @default.
- W2803688972 hasConcept C59822182 @default.
- W2803688972 hasConcept C73373263 @default.
- W2803688972 hasConcept C86803240 @default.
- W2803688972 hasConcept C91066650 @default.
- W2803688972 hasConcept C97787015 @default.
- W2803688972 hasConceptScore W2803688972C114614502 @default.
- W2803688972 hasConceptScore W2803688972C134306372 @default.
- W2803688972 hasConceptScore W2803688972C138885662 @default.
- W2803688972 hasConceptScore W2803688972C157369684 @default.
- W2803688972 hasConceptScore W2803688972C165818556 @default.
- W2803688972 hasConceptScore W2803688972C169654258 @default.
- W2803688972 hasConceptScore W2803688972C18556879 @default.
- W2803688972 hasConceptScore W2803688972C202444582 @default.
- W2803688972 hasConceptScore W2803688972C2778572836 @default.
- W2803688972 hasConceptScore W2803688972C33923547 @default.
- W2803688972 hasConceptScore W2803688972C41895202 @default.
- W2803688972 hasConceptScore W2803688972C59822182 @default.
- W2803688972 hasConceptScore W2803688972C73373263 @default.
- W2803688972 hasConceptScore W2803688972C86803240 @default.
- W2803688972 hasConceptScore W2803688972C91066650 @default.
- W2803688972 hasConceptScore W2803688972C97787015 @default.
- W2803688972 hasLocation W28036889721 @default.
- W2803688972 hasOpenAccess W2803688972 @default.
- W2803688972 hasPrimaryLocation W28036889721 @default.
- W2803688972 hasRelatedWork W1489537949 @default.
- W2803688972 hasRelatedWork W1494701719 @default.
- W2803688972 hasRelatedWork W1548644762 @default.
- W2803688972 hasRelatedWork W1971448445 @default.
- W2803688972 hasRelatedWork W2001668211 @default.
- W2803688972 hasRelatedWork W2055741698 @default.
- W2803688972 hasRelatedWork W2276098398 @default.
- W2803688972 hasRelatedWork W2292872818 @default.