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Modified Massive Arratia flow and Wasser...

Konarovskyi, Vitalii...

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Modified Massive Arratia flow and Wasserstein diffusion by Konarovskyi, Vitalii ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	02-04-2015
Summary	Extending previous work [arXiv:1408.0628] by the first author we present a variant of the Arratia flow, which consists of a collection of coalescing Brownian motions starting from every point of the unit interval. The important new feature of the model is that individual particles carry mass which aggregates upon coalescence and which scales the diffusivity of each particle in an inverse proportional way. In this work we relate the induced measure valued process to the Wasserstein diffusion of [arXiv:0704.0704]. First, we present the process as a martingale solution to a SPDE similar to [arXiv:0704.0704]. Second, as our main result we show a Varadhan formula for short times which is governed by the quadratic Wasserstein distance.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1504.00559

Citation

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AMA 11th EditionReferences

Konarovskyi, Vitalii. Modified Massive Arratia flow and Wasserstein diffusion. N.A. April 02, 2015. Accessed October 01, 2025. https://online.provdatabase.com/cite/18479

APA 7th EditionReferences

Konarovskyi, Vitalii. (2015). Modified Massive Arratia flow and Wasserstein diffusion. N.A. https://online.provdatabase.com/cite/18479

Chicago 17th EditionReferences

Konarovskyi, Vitalii. Modified Massive Arratia flow and Wasserstein diffusion. N.A. 2015. https://online.provdatabase.com/cite/18479

HarvardReferences

Konarovskyi, Vitalii. (2015). Modified Massive Arratia flow and Wasserstein diffusion. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18479. (Accessed 01 October 2025).

Harvard AustraliaReferences

Konarovskyi, Vitalii, 2015, Modified Massive Arratia flow and Wasserstein diffusion, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/18479>

MLA 9th EditionWorks Cited

Konarovskyi, Vitalii. Modified Massive Arratia flow and Wasserstein diffusion. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18479.

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