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Local time at zero for arratia flow

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Ukrainian Mathematical Journal Aims and scope

We study an Arratia flow x(u,t) It is proved that x(∙,t) is a Markov process whose phase space is a certain subset K of the Skorokhod space. We introduce the notion of total local time at zero for an Arratia flow. We prove that it is an additive, nonnegative, continuous functional of the flow and calculate its characteristic.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    P. P. Chernega

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  1. P. P. Chernega
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 4, pp. 542–556, April, 2012.

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Chernega, P.P. Local time at zero for arratia flow. Ukr Math J 64, 616–633 (2012). https://doi.org/10.1007/s11253-012-0667-4

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  • DOI: https://doi.org/10.1007/s11253-012-0667-4

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