Matches in SemOpenAlex for { <https://semopenalex.org/work/W3127788620> ?p ?o ?g. }
- W3127788620 abstract "We obtain a complete description of local anisotropic scaling limits for a class of fractional random fields $X$ on ${mathbb{R}}^2$ written as stochastic integral with respect to infinitely divisible random measure. The scaling procedure involves increments of $X$ over points the distance between which in the horizontal and vertical directions shrinks as $O(lambda)$ and $O(lambda^gamma)$ respectively as $lambda downarrow 0$, for some $gamma>0$. We consider two types of increments of $X$: usual increment and rectangular increment, leading to the respective concepts of $gamma$-tangent and $gamma$-rectangent random fields. We prove that for above $X$ both types of local scaling limits exist for any $gamma>0$ and undergo a transition, being independent of $gamma>gamma_0$ and $gamma 0$; moreover, the unbalanced scaling limits ($gammanegamma_0$) are $(H_1,H_2)$-multi self-similar with one of $H_i$, $i=1,2$, equal to $0$ or $1$. The paper extends Pilipauskait.e and Surgailis (2017) and Surgailis (2020) on large-scale anisotropic scaling of random fields on ${mathbb{Z}}^2$ and Benassi et al. (2004) on $1$-tangent limits of isotropic fractional L'evy random fields." @default.
- W3127788620 created "2021-02-15" @default.
- W3127788620 creator A5026622957 @default.
- W3127788620 creator A5082238814 @default.
- W3127788620 date "2021-02-01" @default.
- W3127788620 modified "2023-09-27" @default.
- W3127788620 title "Local scaling limits of L'evy driven fractional random fields" @default.
- W3127788620 cites W103314605 @default.
- W3127788620 cites W1523228994 @default.
- W3127788620 cites W1530262205 @default.
- W3127788620 cites W1606298186 @default.
- W3127788620 cites W1802288072 @default.
- W3127788620 cites W1960265583 @default.
- W3127788620 cites W1971681605 @default.
- W3127788620 cites W1977641416 @default.
- W3127788620 cites W1995654147 @default.
- W3127788620 cites W1996984820 @default.
- W3127788620 cites W2004619155 @default.
- W3127788620 cites W2008631090 @default.
- W3127788620 cites W2012302737 @default.
- W3127788620 cites W2019092675 @default.
- W3127788620 cites W2020416769 @default.
- W3127788620 cites W2030279168 @default.
- W3127788620 cites W2051218098 @default.
- W3127788620 cites W2071001577 @default.
- W3127788620 cites W2151184871 @default.
- W3127788620 cites W2157005274 @default.
- W3127788620 cites W2169271163 @default.
- W3127788620 cites W2232581789 @default.
- W3127788620 cites W2260356423 @default.
- W3127788620 cites W2299125783 @default.
- W3127788620 cites W2555599632 @default.
- W3127788620 cites W2592346727 @default.
- W3127788620 cites W2768598190 @default.
- W3127788620 cites W2801179766 @default.
- W3127788620 cites W2963065473 @default.
- W3127788620 cites W3061847813 @default.
- W3127788620 cites W3103556344 @default.
- W3127788620 cites W3106307519 @default.
- W3127788620 cites W3157299144 @default.
- W3127788620 cites W3174012482 @default.
- W3127788620 cites W39337161 @default.
- W3127788620 cites W3183085784 @default.
- W3127788620 hasPublicationYear "2021" @default.
- W3127788620 type Work @default.
- W3127788620 sameAs 3127788620 @default.
- W3127788620 citedByCount "0" @default.
- W3127788620 crossrefType "posted-content" @default.
- W3127788620 hasAuthorship W3127788620A5026622957 @default.
- W3127788620 hasAuthorship W3127788620A5082238814 @default.
- W3127788620 hasConcept C105795698 @default.
- W3127788620 hasConcept C114614502 @default.
- W3127788620 hasConcept C121332964 @default.
- W3127788620 hasConcept C130402806 @default.
- W3127788620 hasConcept C134306372 @default.
- W3127788620 hasConcept C138187205 @default.
- W3127788620 hasConcept C184050105 @default.
- W3127788620 hasConcept C18903297 @default.
- W3127788620 hasConcept C2524010 @default.
- W3127788620 hasConcept C2777299769 @default.
- W3127788620 hasConcept C2778113609 @default.
- W3127788620 hasConcept C2780009758 @default.
- W3127788620 hasConcept C33923547 @default.
- W3127788620 hasConcept C37914503 @default.
- W3127788620 hasConcept C41008148 @default.
- W3127788620 hasConcept C62520636 @default.
- W3127788620 hasConcept C77088390 @default.
- W3127788620 hasConcept C85725439 @default.
- W3127788620 hasConcept C86803240 @default.
- W3127788620 hasConcept C99844830 @default.
- W3127788620 hasConceptScore W3127788620C105795698 @default.
- W3127788620 hasConceptScore W3127788620C114614502 @default.
- W3127788620 hasConceptScore W3127788620C121332964 @default.
- W3127788620 hasConceptScore W3127788620C130402806 @default.
- W3127788620 hasConceptScore W3127788620C134306372 @default.
- W3127788620 hasConceptScore W3127788620C138187205 @default.
- W3127788620 hasConceptScore W3127788620C184050105 @default.
- W3127788620 hasConceptScore W3127788620C18903297 @default.
- W3127788620 hasConceptScore W3127788620C2524010 @default.
- W3127788620 hasConceptScore W3127788620C2777299769 @default.
- W3127788620 hasConceptScore W3127788620C2778113609 @default.
- W3127788620 hasConceptScore W3127788620C2780009758 @default.
- W3127788620 hasConceptScore W3127788620C33923547 @default.
- W3127788620 hasConceptScore W3127788620C37914503 @default.
- W3127788620 hasConceptScore W3127788620C41008148 @default.
- W3127788620 hasConceptScore W3127788620C62520636 @default.
- W3127788620 hasConceptScore W3127788620C77088390 @default.
- W3127788620 hasConceptScore W3127788620C85725439 @default.
- W3127788620 hasConceptScore W3127788620C86803240 @default.
- W3127788620 hasConceptScore W3127788620C99844830 @default.
- W3127788620 hasLocation W31277886201 @default.
- W3127788620 hasOpenAccess W3127788620 @default.
- W3127788620 hasPrimaryLocation W31277886201 @default.
- W3127788620 hasRelatedWork W1979555318 @default.
- W3127788620 hasRelatedWork W1996917220 @default.
- W3127788620 hasRelatedWork W2019070040 @default.
- W3127788620 hasRelatedWork W2025253087 @default.
- W3127788620 hasRelatedWork W2040301338 @default.
- W3127788620 hasRelatedWork W2093585475 @default.
- W3127788620 hasRelatedWork W2165370107 @default.