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Description
  • We show that whenever the q-dimensional Minkowski content of a subset A of a Euclidean space exists and is finite and positive, then the %22S-content%22 defined analogously as the Minkowski content, but with volume replaced by surface area, exists as well and equals the Minkowski content. As a corollary, we obtain the almost sure asymptotic behaviour of the surface area of the Wiener sausage in dimension greater or equal to 3.
  • We show that whenever the q-dimensional Minkowski content of a subset A of a Euclidean space exists and is finite and positive, then the %22S-content%22 defined analogously as the Minkowski content, but with volume replaced by surface area, exists as well and equals the Minkowski content. As a corollary, we obtain the almost sure asymptotic behaviour of the surface area of the Wiener sausage in dimension greater or equal to 3. (en)
Title
  • Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths
  • Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths (en)
skos:prefLabel
  • Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths
  • Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths (en)
skos:notation
  • RIV/00216208:11320/12:10126163!RIV13-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(GCP201/10/J039), S, Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
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  • 121719
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  • RIV/00216208:11320/12:10126163
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  • Wiener sausage; Brownian motion; Kneser function; Minkowski content (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [BE0DD492EF85]
http://linked.open...i/riv/nazevZdroje
  • Czechoslovak Mathematical Journal
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  • 62
http://linked.open...iv/tvurceVysledku
  • Rataj, Jan
  • Honzl, Ondřej
http://linked.open...ain/vavai/riv/wos
  • 000301977200005
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10587-012-0017-6
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  • 11320
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