The law of a point process of Brownian excursions in a domain is determined by the law of its trace

Wei Qian; Wendelin Werner

doi:10.1214/18-EJP258

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Home > Journals > Electron. J. Probab. > Volume 23 > Article

2018 The law of a point process of Brownian excursions in a domain is determined by the law of its trace

Wei Qian, Wendelin Werner

Electron. J. Probab. 23: 1-23 (2018). DOI: 10.1214/18-EJP258

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Abstract

We show the result that is stated in the title of the paper, which has consequences about decomposition of Brownian loop-soup clusters in two dimensions.

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Wei Qian. Wendelin Werner. "The law of a point process of Brownian excursions in a domain is determined by the law of its trace." Electron. J. Probab. 23 1 - 23, 2018. https://doi.org/10.1214/18-EJP258

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Received: 17 February 2018; Accepted: 13 December 2018; Published: 2018

First available in Project Euclid: 19 December 2018

zbMATH: 07021684

MathSciNet: MR3896865

Digital Object Identifier: 10.1214/18-EJP258

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Primary: 60J65

Keywords: Brownian excursions , Brownian loop-soup

Rights: Creative Commons Attribution 4.0 International License.

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Electron. J. Probab.

Vol.23 • 2018

Institute of Mathematical Statistics and Bernoulli Society

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Wei Qian, Wendelin Werner "The law of a point process of Brownian excursions in a domain is determined by the law of its trace," Electronic Journal of Probability, Electron. J. Probab. 23(none), 1-23, (2018)

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