Matches in SemOpenAlex for { <https://semopenalex.org/work/W2021002250> ?p ?o ?g. }
- W2021002250 abstract "Efficiently controlling the trapping process, especially the trapping efficiency, is central in the study of trap problem in complex systems, since it is a fundamental mechanism for diverse other dynamic processes. Thus, it is of theoretical and practical significance to study the control technique for trapping problem. In this paper, we study the trapping problem in a family of proposed directed fractals with a deep trap at a central node. The directed fractals are a generalization of previous undirected fractals by introducing the directed edge weights dominated by a parameter. We characterize all the eigenvalues and their degeneracies for an associated matrix governing the trapping process. The eigenvalues are provided through an exact recursive relation deduced from the self-similar structure of the fractals. We also obtain the expressions for the smallest eigenvalue and the mean first-passage time (MFPT) as a measure of trapping efficiency, which is the expected time for the walker to first visit the trap. The MFPT is evaluated according to the proved fact that it is approximately equal to reciprocal of the smallest eigenvalue. We show that the MFPT is controlled by the weight parameter by modifying which the MFPT can scale superlinealy, linearly, or sublinearly with the system size. Thus, this work paves a way to delicately controlling the trapping process in the fractals." @default.
- W2021002250 created "2016-06-24" @default.
- W2021002250 creator A5007360737 @default.
- W2021002250 creator A5067533846 @default.
- W2021002250 date "2013-07-10" @default.
- W2021002250 modified "2023-10-18" @default.
- W2021002250 title "Controlling the efficiency of trapping in treelike fractals" @default.
- W2021002250 cites W116383179 @default.
- W2021002250 cites W1485523709 @default.
- W2021002250 cites W1964062850 @default.
- W2021002250 cites W1967711567 @default.
- W2021002250 cites W1968202019 @default.
- W2021002250 cites W1970590446 @default.
- W2021002250 cites W1971601785 @default.
- W2021002250 cites W1985979507 @default.
- W2021002250 cites W1992910095 @default.
- W2021002250 cites W1995519784 @default.
- W2021002250 cites W1995733356 @default.
- W2021002250 cites W1997887535 @default.
- W2021002250 cites W1999035216 @default.
- W2021002250 cites W2001376605 @default.
- W2021002250 cites W2002746382 @default.
- W2021002250 cites W2003586074 @default.
- W2021002250 cites W2006408461 @default.
- W2021002250 cites W2006602810 @default.
- W2021002250 cites W2009787325 @default.
- W2021002250 cites W2010264617 @default.
- W2021002250 cites W2010310231 @default.
- W2021002250 cites W2012905646 @default.
- W2021002250 cites W2021460281 @default.
- W2021002250 cites W2022341787 @default.
- W2021002250 cites W2026037888 @default.
- W2021002250 cites W2030018774 @default.
- W2021002250 cites W2030878402 @default.
- W2021002250 cites W2031036284 @default.
- W2021002250 cites W2046529296 @default.
- W2021002250 cites W2046815728 @default.
- W2021002250 cites W2046955087 @default.
- W2021002250 cites W2048436818 @default.
- W2021002250 cites W2048468225 @default.
- W2021002250 cites W2054991314 @default.
- W2021002250 cites W2062294107 @default.
- W2021002250 cites W2067539153 @default.
- W2021002250 cites W2072549489 @default.
- W2021002250 cites W2076331753 @default.
- W2021002250 cites W2078827753 @default.
- W2021002250 cites W2079399005 @default.
- W2021002250 cites W2081077061 @default.
- W2021002250 cites W2082503049 @default.
- W2021002250 cites W2083375651 @default.
- W2021002250 cites W2093688980 @default.
- W2021002250 cites W2101420429 @default.
- W2021002250 cites W2104109956 @default.
- W2021002250 cites W2107217216 @default.
- W2021002250 cites W2107828489 @default.
- W2021002250 cites W2108577746 @default.
- W2021002250 cites W2142331613 @default.
- W2021002250 cites W2149055390 @default.
- W2021002250 cites W2334920439 @default.
- W2021002250 cites W3100376309 @default.
- W2021002250 cites W3100446935 @default.
- W2021002250 cites W3101055914 @default.
- W2021002250 cites W3104043334 @default.
- W2021002250 cites W3105775578 @default.
- W2021002250 cites W3105946119 @default.
- W2021002250 cites W4211196861 @default.
- W2021002250 doi "https://doi.org/10.1063/1.4812690" @default.
- W2021002250 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23862928" @default.
- W2021002250 hasPublicationYear "2013" @default.
- W2021002250 type Work @default.
- W2021002250 sameAs 2021002250 @default.
- W2021002250 citedByCount "19" @default.
- W2021002250 countsByYear W20210022502013 @default.
- W2021002250 countsByYear W20210022502014 @default.
- W2021002250 countsByYear W20210022502015 @default.
- W2021002250 countsByYear W20210022502017 @default.
- W2021002250 countsByYear W20210022502018 @default.
- W2021002250 countsByYear W20210022502019 @default.
- W2021002250 countsByYear W20210022502020 @default.
- W2021002250 countsByYear W20210022502022 @default.
- W2021002250 crossrefType "journal-article" @default.
- W2021002250 hasAuthorship W2021002250A5007360737 @default.
- W2021002250 hasAuthorship W2021002250A5067533846 @default.
- W2021002250 hasBestOaLocation W20210022502 @default.
- W2021002250 hasConcept C105795698 @default.
- W2021002250 hasConcept C121099081 @default.
- W2021002250 hasConcept C121332964 @default.
- W2021002250 hasConcept C121864883 @default.
- W2021002250 hasConcept C134306372 @default.
- W2021002250 hasConcept C153294291 @default.
- W2021002250 hasConcept C158693339 @default.
- W2021002250 hasConcept C177148314 @default.
- W2021002250 hasConcept C186659197 @default.
- W2021002250 hasConcept C18903297 @default.
- W2021002250 hasConcept C2777924906 @default.
- W2021002250 hasConcept C33923547 @default.
- W2021002250 hasConcept C40636538 @default.
- W2021002250 hasConcept C62520636 @default.
- W2021002250 hasConcept C8272713 @default.
- W2021002250 hasConcept C86803240 @default.