Cone exponents of Brownian motions with particular drifts

Research output: Contribution to journalArticle

Abstract

Herein, we describe multidimensional Brownian motions for d = 2; 3 with drifts whose order is the same as that of the mean displacement of a Brownian motion. We consider the probabilities that the processes remain in specific cones for a considerable amount of time. We obtain exponents expressing the probabilities, which are different from that of the ordinary Brownian motion. Finally, we suggest an open problem concerning the exact values.

Original languageEnglish
Pages (from-to)855-870
Number of pages16
JournalAlea
Volume16
Issue number1
DOIs
Publication statusPublished - Jan 1 2019

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Brownian motion
Cone
Exponent
Open Problems

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Cite this

Cone exponents of Brownian motions with particular drifts. / Okada, Izumi.

In: Alea, Vol. 16, No. 1, 01.01.2019, p. 855-870.

Research output: Contribution to journalArticle

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