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July 2021 Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition
Sourav Sarkar, Bálint Virág
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Ann. Probab. 49(4): 1718-1737 (July 2021). DOI: 10.1214/20-AOP1491

Abstract

We show that the law of the KPZ fixed point starting from arbitrary initial condition is absolutely continuous with respect to the law of Brownian motion B on every compact interval. In particular, the Airy1 process is absolutely continuous with respect to B on any compact interval.

Citation

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Sourav Sarkar. Bálint Virág. "Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition." Ann. Probab. 49 (4) 1718 - 1737, July 2021. https://doi.org/10.1214/20-AOP1491

Information

Received: 1 April 2020; Revised: 1 October 2020; Published: July 2021
First available in Project Euclid: 13 May 2021

Digital Object Identifier: 10.1214/20-AOP1491

Subjects:
Primary: 60H15, 82B23, 82C22

Rights: Copyright © 2021 Institute of Mathematical Statistics

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Vol.49 • No. 4 • July 2021
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