Intersection Exponents for Planar Brownian Motion
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The Annals of Probability
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Intersection Exponents for Planar Brownian Motion

Gregory F. Lawler and Wendelin Werner

Source: Ann. Probab. Volume 27, Number 4 (1999), 1601-1642.

Abstract

We derive properties concerning all intersection exponents for planar Brownian motion and we define generalized exponents that, loosely speaking, correspond to noninteger numbers of Brownian paths. Some of these properties lead to general conjectures concerning the exact value of these exponents.

Primary Subjects: 60J65
Secondary Subjects: 81T40
Keywords: Brownian motion; critical exponents; conformal invariance

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aop/1022874810
Mathematical Reviews number (MathSciNet): MR1742883
Digital Object Identifier: doi:10.1214/aop/1022874810
Zentralblatt MATH identifier: 0965.60071

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DURHAM, NORTH CAROLINA 27708-0320 91405 ORSAY CEDEX E-MAIL: jose@math.duke.edu FRANCE E-MAIL: wendelin.werner@math.u-psud.fr
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