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POINTS OF INFINITE MULTIPLICITY OF PLANAR BROWNIAN MOTION: MEASURES AND LOCAL TIMES

POINTS OF INFINITE MULTIPLICITY OF PLANAR BROWNIAN MOTION: MEASURES AND LOCAL TIMES

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_01876066v2

POINTS OF INFINITE MULTIPLICITY OF PLANAR BROWNIAN MOTION: MEASURES AND LOCAL TIMES

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Full title

POINTS OF INFINITE MULTIPLICITY OF PLANAR BROWNIAN MOTION: MEASURES AND LOCAL TIMES

Publisher

Institute of Mathematical Statistics

Journal title

The Annals of probability, 2020-07, Vol.48 (4), p.1785-1825

Language

English

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Publication information

Publisher

Institute of Mathematical Statistics

Subjects

Subjects and topics

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Scope and Contents

Contents

It is well known (see Dvoretzky, Erdős and Kakutani (Bull. Res. Council Israel Sect. F 7F (1958) 175–180) and Le Gall (J. Funct. Anal. 71 (1987) 246–262)) that a planar Brownian motion (Bt
)t≥0 has points of infinite multiplicity, and these points form a dense set on the range. Our main result is the construction of a family of random measures,...

Alternative Titles

Full title

POINTS OF INFINITE MULTIPLICITY OF PLANAR BROWNIAN MOTION: MEASURES AND LOCAL TIMES

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Primary Identifiers

Record Identifier

TN_cdi_hal_primary_oai_HAL_hal_01876066v2

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_01876066v2

Other Identifiers

ISSN

0091-1798

E-ISSN

2168-894X

DOI

10.1214/19-AOP1407

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