FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2081705970> ?p ?o ?g. }

• W2081705970 endingPage "202" @default.
• W2081705970 startingPage "175" @default.
• W2081705970 abstract "The Diestel-Leader graph DL(q,r) is the horocyclic product of the homogeneous trees with respective degrees q+1 and r+1. When q=r, it is the Cayley graph of the lamplighter group (wreath product of the cyclic group of order q with the infinite cyclic group) with respect to a natural generating set. For the Simple random walk (SRW) operator on the latter group, Grigorchuk & Zuk and Dicks & Schick have determined the spectrum and the (on-diagonal) spectral measure (Plancherel measure). Here, we show that thanks to the geometric realization, these results can be obtained for all DL-graphs by directly computing an l^2-complete orthonormal system of finitely supported eigenfunctions of the SRW. This allows computation of all matrix elements of the spectral resolution, including the Plancherel measure. As one application, we determine the sharp asymptotic behaviour of the N-step return probabilities of SRW. The spectral computations involve a natural approximating sequence of finite subgraphs, and we study the question whether the cumulative spectral distributions of the latter converge weakly to the Plancherel measure. To this end, we provide a general result regarding Foelner approximations; in the specific case of DL(q,r), the answer is positive only when r=q." @default.
• W2081705970 created "2016-06-24" @default.
• W2081705970 creator A5010881149 @default.
• W2081705970 creator A5045303057 @default.
• W2081705970 date "2005-03-17" @default.
• W2081705970 modified "2023-10-11" @default.
• W2081705970 title "Spectral Computations on Lamplighter Groups and Diestel-Leader Graphs" @default.
• W2081705970 cites W1528152028 @default.
• W2081705970 cites W1581663038 @default.
• W2081705970 cites W1639391429 @default.
• W2081705970 cites W1974824584 @default.
• W2081705970 cites W1991453427 @default.
• W2081705970 cites W2003751012 @default.
• W2081705970 cites W2004167200 @default.
• W2081705970 cites W2026391697 @default.
• W2081705970 cites W2031246048 @default.
• W2081705970 cites W2032983973 @default.
• W2081705970 cites W2038098381 @default.
• W2081705970 cites W2059738009 @default.
• W2081705970 cites W2063406007 @default.
• W2081705970 cites W2063754510 @default.
• W2081705970 cites W2072873261 @default.
• W2081705970 cites W2076653745 @default.
• W2081705970 cites W2078667056 @default.
• W2081705970 cites W2127863462 @default.
• W2081705970 cites W2146204185 @default.
• W2081705970 cites W2148609756 @default.
• W2081705970 cites W2149043895 @default.
• W2081705970 cites W2161538205 @default.
• W2081705970 cites W2579714562 @default.
• W2081705970 cites W2962741047 @default.
• W2081705970 cites W3099314179 @default.
• W2081705970 cites W3104539447 @default.
• W2081705970 doi "https://doi.org/10.1007/s00041-005-3079-0" @default.
• W2081705970 hasPublicationYear "2005" @default.
• W2081705970 type Work @default.
• W2081705970 sameAs 2081705970 @default.
• W2081705970 citedByCount "56" @default.
• W2081705970 countsByYear W20817059702012 @default.
• W2081705970 countsByYear W20817059702013 @default.
• W2081705970 countsByYear W20817059702014 @default.
• W2081705970 countsByYear W20817059702015 @default.
• W2081705970 countsByYear W20817059702016 @default.
• W2081705970 countsByYear W20817059702017 @default.
• W2081705970 countsByYear W20817059702018 @default.
• W2081705970 countsByYear W20817059702019 @default.
• W2081705970 countsByYear W20817059702021 @default.
• W2081705970 countsByYear W20817059702022 @default.
• W2081705970 crossrefType "journal-article" @default.
• W2081705970 hasAuthorship W2081705970A5010881149 @default.
• W2081705970 hasAuthorship W2081705970A5045303057 @default.
• W2081705970 hasBestOaLocation W20817059702 @default.
• W2081705970 hasConcept C11413529 @default.
• W2081705970 hasConcept C114614502 @default.
• W2081705970 hasConcept C118615104 @default.
• W2081705970 hasConcept C120204988 @default.
• W2081705970 hasConcept C121332964 @default.
• W2081705970 hasConcept C128803854 @default.
• W2081705970 hasConcept C130367717 @default.
• W2081705970 hasConcept C132525143 @default.
• W2081705970 hasConcept C136170076 @default.
• W2081705970 hasConcept C158693339 @default.
• W2081705970 hasConcept C178790620 @default.
• W2081705970 hasConcept C18116961 @default.
• W2081705970 hasConcept C185592680 @default.
• W2081705970 hasConcept C202444582 @default.
• W2081705970 hasConcept C20725272 @default.
• W2081705970 hasConcept C2524010 @default.
• W2081705970 hasConcept C2777404646 @default.
• W2081705970 hasConcept C2780009758 @default.
• W2081705970 hasConcept C2781311116 @default.
• W2081705970 hasConcept C2983726731 @default.
• W2081705970 hasConcept C33923547 @default.
• W2081705970 hasConcept C41008148 @default.
• W2081705970 hasConcept C45374587 @default.
• W2081705970 hasConcept C5806529 @default.
• W2081705970 hasConcept C62520636 @default.
• W2081705970 hasConcept C77088390 @default.
• W2081705970 hasConcept C90673727 @default.
• W2081705970 hasConcept C95635736 @default.
• W2081705970 hasConceptScore W2081705970C11413529 @default.
• W2081705970 hasConceptScore W2081705970C114614502 @default.
• W2081705970 hasConceptScore W2081705970C118615104 @default.
• W2081705970 hasConceptScore W2081705970C120204988 @default.
• W2081705970 hasConceptScore W2081705970C121332964 @default.
• W2081705970 hasConceptScore W2081705970C128803854 @default.
• W2081705970 hasConceptScore W2081705970C130367717 @default.
• W2081705970 hasConceptScore W2081705970C132525143 @default.
• W2081705970 hasConceptScore W2081705970C136170076 @default.
• W2081705970 hasConceptScore W2081705970C158693339 @default.
• W2081705970 hasConceptScore W2081705970C178790620 @default.
• W2081705970 hasConceptScore W2081705970C18116961 @default.
• W2081705970 hasConceptScore W2081705970C185592680 @default.
• W2081705970 hasConceptScore W2081705970C202444582 @default.
• W2081705970 hasConceptScore W2081705970C20725272 @default.
• W2081705970 hasConceptScore W2081705970C2524010 @default.
• W2081705970 hasConceptScore W2081705970C2777404646 @default.
• W2081705970 hasConceptScore W2081705970C2780009758 @default.

• next