Open Access
2023 Subadditive theorems in time-dependent environments
Yuming Paul Zhang, Andrej Zlatoš
Author Affiliations +
Electron. J. Probab. 28: 1-23 (2023). DOI: 10.1214/23-EJP990


We prove time-dependent versions of Kingman’s subadditive ergodic theorem, which can be used to study stochastic processes as well as propagation of solutions to PDE in time-dependent environments.


We thank Patrick Fitzsimmons and Robin Pemantle for useful discussions. YPZ acknowledges partial support by an AMS-Simons Travel Grant. AZ acknowledges partial support by NSF grant DMS-1900943 and by a Simons Fellowship.


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Yuming Paul Zhang. Andrej Zlatoš. "Subadditive theorems in time-dependent environments." Electron. J. Probab. 28 1 - 23, 2023.


Received: 13 September 2022; Accepted: 4 July 2023; Published: 2023
First available in Project Euclid: 18 July 2023

MathSciNet: MR4616515
zbMATH: 07733586
Digital Object Identifier: 10.1214/23-EJP990

Primary: 60F15 , 60K37

Keywords: subadditive theorems , time-dependent environment

Vol.28 • 2023
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