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Random Walk on Rand...
Random Walk on Random Infinite Looptrees
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- Björnberg, Jakob, 1983 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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Stefansson, S. O. (författare)
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(creator_code:org_t)
- 2015-01-01
- 2015
- Engelska.
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Ingår i: Journal of statistical physics. - : Springer Science and Business Media LLC. - 0022-4715 .- 1572-9613. ; 158:6, s. 1234-1261
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Abstract
Ämnesord
Stäng
- Looptrees have recently arisen in the study of critical percolation on the uniform infinite planar triangulation. Here we consider random infinite looptrees defined as the local limit of the looptree associated with a critical Galton-Watson tree conditioned to be large. We study simple random walk on these infinite looptrees by means of providing estimates on volume and resistance growth. We prove that if the offspring distribution of the Galton-Watson process is in the domain of attraction of a stable distribution with index then the spectral dimension of the looptree is 2 alpha/(alpha+1).
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Looptrees
- Random trees
- Random walk
- Spectral dimension
- Looptrees
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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