Matches in SemOpenAlex for { <https://semopenalex.org/work/W3017534816> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W3017534816 endingPage "161" @default.
- W3017534816 startingPage "141" @default.
- W3017534816 abstract "For a continuous-time catalytic branching random walk (CBRW) on Z, with an arbitrary finite number of catalysts, we study the asymptotic behavior of position of the rightmost particle when time tends to infinity. The mild requirements include the regular variation of the jump distribution tail for underlying random walk and the well-known L log L condition for the offspring numbers. In our classification, given in the previous paper, the analysis refers to supercritical CBRW. The principle result demonstrates that, after a proper normalization, the maximum of CBRW converges in distribution to a non-trivial law. An explicit formula is provided for this normalization and non-linear integral equations are obtained to determine the limiting distribution function. The novelty consists in establishing the weak convergence for CBRW with heavy tails, in contrast to the known behavior in case of light tails of the random walk jumps. The new tools such as many-to-few lemma and spinal decomposition appear non-efficient here. The approach developed in the paper combines the techniques of renewal theory, Laplace transform, non-linear integral equations and large deviations theory for random sums of random variables. Keywords and phrases: catalytic branching random walk, heavy tails, regular varying tails, spread of population, L log L condition." @default.
- W3017534816 created "2020-05-01" @default.
- W3017534816 creator A5044571703 @default.
- W3017534816 date "2020-04-27" @default.
- W3017534816 modified "2023-10-05" @default.
- W3017534816 title "Maximum of Catalytic Branching Random Walk with Regularly Varying Tails" @default.
- W3017534816 cites W1967019651 @default.
- W3017534816 cites W1982264726 @default.
- W3017534816 cites W1991173733 @default.
- W3017534816 cites W1991760696 @default.
- W3017534816 cites W1996511847 @default.
- W3017534816 cites W2051991625 @default.
- W3017534816 cites W2053786325 @default.
- W3017534816 cites W2137412998 @default.
- W3017534816 cites W2139141471 @default.
- W3017534816 cites W2273740195 @default.
- W3017534816 cites W2415386084 @default.
- W3017534816 cites W2787800095 @default.
- W3017534816 cites W2804600867 @default.
- W3017534816 cites W2962766837 @default.
- W3017534816 cites W2963618319 @default.
- W3017534816 cites W2964112635 @default.
- W3017534816 cites W2964234138 @default.
- W3017534816 cites W2972590013 @default.
- W3017534816 cites W3098316063 @default.
- W3017534816 cites W3104268228 @default.
- W3017534816 cites W3105979288 @default.
- W3017534816 cites W4236356291 @default.
- W3017534816 cites W4245558686 @default.
- W3017534816 cites W4288072705 @default.
- W3017534816 cites W4292334561 @default.
- W3017534816 cites W627954411 @default.
- W3017534816 doi "https://doi.org/10.1007/s10959-020-01009-w" @default.
- W3017534816 hasPublicationYear "2020" @default.
- W3017534816 type Work @default.
- W3017534816 sameAs 3017534816 @default.
- W3017534816 citedByCount "7" @default.
- W3017534816 countsByYear W30175348162020 @default.
- W3017534816 countsByYear W30175348162022 @default.
- W3017534816 countsByYear W30175348162023 @default.
- W3017534816 crossrefType "journal-article" @default.
- W3017534816 hasAuthorship W3017534816A5044571703 @default.
- W3017534816 hasBestOaLocation W30175348162 @default.
- W3017534816 hasConcept C105795698 @default.
- W3017534816 hasConcept C121194460 @default.
- W3017534816 hasConcept C121332964 @default.
- W3017534816 hasConcept C121864883 @default.
- W3017534816 hasConcept C134306372 @default.
- W3017534816 hasConcept C136886441 @default.
- W3017534816 hasConcept C144024400 @default.
- W3017534816 hasConcept C19165224 @default.
- W3017534816 hasConcept C2779806530 @default.
- W3017534816 hasConcept C33923547 @default.
- W3017534816 hasConceptScore W3017534816C105795698 @default.
- W3017534816 hasConceptScore W3017534816C121194460 @default.
- W3017534816 hasConceptScore W3017534816C121332964 @default.
- W3017534816 hasConceptScore W3017534816C121864883 @default.
- W3017534816 hasConceptScore W3017534816C134306372 @default.
- W3017534816 hasConceptScore W3017534816C136886441 @default.
- W3017534816 hasConceptScore W3017534816C144024400 @default.
- W3017534816 hasConceptScore W3017534816C19165224 @default.
- W3017534816 hasConceptScore W3017534816C2779806530 @default.
- W3017534816 hasConceptScore W3017534816C33923547 @default.
- W3017534816 hasFunder F4320324099 @default.
- W3017534816 hasIssue "1" @default.
- W3017534816 hasLocation W30175348161 @default.
- W3017534816 hasLocation W30175348162 @default.
- W3017534816 hasLocation W30175348163 @default.
- W3017534816 hasOpenAccess W3017534816 @default.
- W3017534816 hasPrimaryLocation W30175348161 @default.
- W3017534816 hasRelatedWork W1586406767 @default.
- W3017534816 hasRelatedWork W1979819002 @default.
- W3017534816 hasRelatedWork W2090570121 @default.
- W3017534816 hasRelatedWork W2261940748 @default.
- W3017534816 hasRelatedWork W2807725882 @default.
- W3017534816 hasRelatedWork W2906501567 @default.
- W3017534816 hasRelatedWork W2950076847 @default.
- W3017534816 hasRelatedWork W3101901394 @default.
- W3017534816 hasRelatedWork W3136839289 @default.
- W3017534816 hasRelatedWork W4289099809 @default.
- W3017534816 hasVolume "34" @default.
- W3017534816 isParatext "false" @default.
- W3017534816 isRetracted "false" @default.
- W3017534816 magId "3017534816" @default.
- W3017534816 workType "article" @default.