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19992024
most citedLimit theorems for additive functionals of a Markov chain

71 citations · 400 across the 47 of their papers we have counts for

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29 papers · 1 filter

math.PR2024

Heat flow in a periodically forced, unpinned thermostatted chain

Tomasz Komorowski, Stefano Olla, Marielle Simon

We prove the hydrodynamic limit for a one-dimensional harmonic chain of interacting atoms with a random flip of the momentum sign. The system is open: at the left boundary it is at…

math.PR2023

Effective diffusivities in periodic KPZ

Yu Gu, Tomasz Komorowski

For the KPZ equation on a torus with a spacetime white noise, it was shown in \cite{GK21,ADYGTK22} that the height function satisfies a central limit theorem, and the varianc…

math.PR2022

Anomalous diffusion limit for a kinetic equation with a thermostatted interface

Krzysztof Bogdan, Tomasz Komorowski, Lorenzo Marino

We consider the limit of solutions of scaled linear kinetic equations with a reflection-transmission-absorption condition at the interface. Both the coefficient describing the prob…

math.PR2022★ 2 cited

Fluctuations of the winding number of a directed polymer on a cylinder

Yu Gu, Tomasz Komorowski

We prove a central limit theorem for the winding number of a directed polymer on a cylinder, which is equivalent with proving the Gaussian fluctuations of the endpoint of the direc…

math.PR2022

Another look at the Balázs-Quastel-Seppäläinen theorem

Yu Gu, Tomasz Komorowski

We study the KPZ equation with a dimensional spacetime white noise, started at equilibrium, and give a different proof of the main result of \cite{bqs}, i.e., the variance of…

math.PR2022

Gaussian fluctuations of replica overlap in directed polymers

Yu Gu, Tomasz Komorowski

In this short note, we prove a central limit theorem for a type of replica overlap of the Brownian directed polymer in a Gaussian random environment, in the low temperature regime…