On Conditioning Brownian Particles to Coalesce

Konarovskyi V, Marx V (2023)
Journal of Theoretical Probability .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
We introduce the notion of a conditional distribution to a zero-probability event in a given direction of approximation and prove that the conditional distribution of a family of independent Brownian particles to the event that their paths coalesce after the meeting coincides with the law of a modified massive Arratia flow, defined in Konarovskyi (Ann Probab 45(5):3293–3335, 2017. https://doi.org/10.1214/16-AOP1137).
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of Theoretical Probability
ISSN
0894-9840
eISSN
1572-9230
Page URI
https://pub.uni-bielefeld.de/record/2960274

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Konarovskyi V, Marx V. On Conditioning Brownian Particles to Coalesce. Journal of Theoretical Probability . 2023.
Konarovskyi, V., & Marx, V. (2023). On Conditioning Brownian Particles to Coalesce. Journal of Theoretical Probability . https://doi.org/10.1007/s10959-023-01267-4
Konarovskyi, Vitalii, and Marx, Victor. 2023. “On Conditioning Brownian Particles to Coalesce”. Journal of Theoretical Probability .
Konarovskyi, V., and Marx, V. (2023). On Conditioning Brownian Particles to Coalesce. Journal of Theoretical Probability .
Konarovskyi, V., & Marx, V., 2023. On Conditioning Brownian Particles to Coalesce. Journal of Theoretical Probability .
V. Konarovskyi and V. Marx, “On Conditioning Brownian Particles to Coalesce”, Journal of Theoretical Probability , 2023.
Konarovskyi, V., Marx, V.: On Conditioning Brownian Particles to Coalesce. Journal of Theoretical Probability . (2023).
Konarovskyi, Vitalii, and Marx, Victor. “On Conditioning Brownian Particles to Coalesce”. Journal of Theoretical Probability (2023).

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arXiv: 2008.02568

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