Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297663301> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4297663301 abstract "In cite{[K]}, Kaimanovich defined an augmented rooted tree $(X, E)$ corresponding to the Sierpinski gasket $K$, and showed that the Martin boundary of the simple random walk ${Z_n}$ on it is homeomorphic to $K$. It is of interest to determine the hitting distributions $v_{{bf x}}(cdot) = {mathbb{P}}_{{bf x}}{lim_{n rightarrow infty} Z_n in cdot}$ induced on $K$. Using a reflection principle based on the symmetries of $K$, we show that if the walk starts at the root of $(X, E)$, the hitting distribution is exactly the normalized Hausdorff measure $mu$ on $K$. In particular, each $v_{{bf x}}$, ${bf x} in X$, is absolutely continuous with respect to $mu$. This answers a question of Kaimanovich [K, Problem 4.14]. The argument can be generalized to other symmetric self-similar sets." @default.
- W4297663301 created "2022-09-30" @default.
- W4297663301 creator A5084780385 @default.
- W4297663301 date "2010-12-24" @default.
- W4297663301 modified "2023-10-18" @default.
- W4297663301 title "Induced measures of simple random walks on Sierpinski graphs" @default.
- W4297663301 doi "https://doi.org/10.48550/arxiv.1012.5347" @default.
- W4297663301 hasPublicationYear "2010" @default.
- W4297663301 type Work @default.
- W4297663301 citedByCount "0" @default.
- W4297663301 crossrefType "posted-content" @default.
- W4297663301 hasAuthorship W4297663301A5084780385 @default.
- W4297663301 hasBestOaLocation W42976633011 @default.
- W4297663301 hasConcept C105795698 @default.
- W4297663301 hasConcept C110121322 @default.
- W4297663301 hasConcept C111472728 @default.
- W4297663301 hasConcept C113174947 @default.
- W4297663301 hasConcept C114614502 @default.
- W4297663301 hasConcept C118615104 @default.
- W4297663301 hasConcept C121194460 @default.
- W4297663301 hasConcept C134306372 @default.
- W4297663301 hasConcept C138885662 @default.
- W4297663301 hasConcept C191399826 @default.
- W4297663301 hasConcept C194198291 @default.
- W4297663301 hasConcept C199360897 @default.
- W4297663301 hasConcept C2524010 @default.
- W4297663301 hasConcept C27176706 @default.
- W4297663301 hasConcept C2780009758 @default.
- W4297663301 hasConcept C2780586882 @default.
- W4297663301 hasConcept C33923547 @default.
- W4297663301 hasConcept C40636538 @default.
- W4297663301 hasConcept C41008148 @default.
- W4297663301 hasConcept C62354387 @default.
- W4297663301 hasConcept C65682993 @default.
- W4297663301 hasConcept C73225184 @default.
- W4297663301 hasConcept C77088390 @default.
- W4297663301 hasConcept C96469262 @default.
- W4297663301 hasConceptScore W4297663301C105795698 @default.
- W4297663301 hasConceptScore W4297663301C110121322 @default.
- W4297663301 hasConceptScore W4297663301C111472728 @default.
- W4297663301 hasConceptScore W4297663301C113174947 @default.
- W4297663301 hasConceptScore W4297663301C114614502 @default.
- W4297663301 hasConceptScore W4297663301C118615104 @default.
- W4297663301 hasConceptScore W4297663301C121194460 @default.
- W4297663301 hasConceptScore W4297663301C134306372 @default.
- W4297663301 hasConceptScore W4297663301C138885662 @default.
- W4297663301 hasConceptScore W4297663301C191399826 @default.
- W4297663301 hasConceptScore W4297663301C194198291 @default.
- W4297663301 hasConceptScore W4297663301C199360897 @default.
- W4297663301 hasConceptScore W4297663301C2524010 @default.
- W4297663301 hasConceptScore W4297663301C27176706 @default.
- W4297663301 hasConceptScore W4297663301C2780009758 @default.
- W4297663301 hasConceptScore W4297663301C2780586882 @default.
- W4297663301 hasConceptScore W4297663301C33923547 @default.
- W4297663301 hasConceptScore W4297663301C40636538 @default.
- W4297663301 hasConceptScore W4297663301C41008148 @default.
- W4297663301 hasConceptScore W4297663301C62354387 @default.
- W4297663301 hasConceptScore W4297663301C65682993 @default.
- W4297663301 hasConceptScore W4297663301C73225184 @default.
- W4297663301 hasConceptScore W4297663301C77088390 @default.
- W4297663301 hasConceptScore W4297663301C96469262 @default.
- W4297663301 hasLocation W42976633011 @default.
- W4297663301 hasOpenAccess W4297663301 @default.
- W4297663301 hasPrimaryLocation W42976633011 @default.
- W4297663301 hasRelatedWork W1991623837 @default.
- W4297663301 hasRelatedWork W2016611154 @default.
- W4297663301 hasRelatedWork W2247164917 @default.
- W4297663301 hasRelatedWork W2352241700 @default.
- W4297663301 hasRelatedWork W235243680 @default.
- W4297663301 hasRelatedWork W2356605454 @default.
- W4297663301 hasRelatedWork W2369555520 @default.
- W4297663301 hasRelatedWork W2378764702 @default.
- W4297663301 hasRelatedWork W2381742859 @default.
- W4297663301 hasRelatedWork W3197358217 @default.
- W4297663301 isParatext "false" @default.
- W4297663301 isRetracted "false" @default.
- W4297663301 workType "article" @default.