Kern, Julian (2025) Weak reservoirs are superexponentially irrelevant for misanthrope processes. Electronic Communications in Probability .
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Official URL: https://doi.org/10.1214/25-ECP671
Abstract
We provide a short proof for the exponential equivalence between misanthrope processes in contact with weak reservoirs and those with impermeable boundaries. As a consequence, we can derive both the hydrodynamic limit and the large deviations of the totally asymmetric simple exclusion process (TASEP) in contact with weak reservoirs. This extends a recent result which proved the hydrodynamic behaviour of a vanishing viscocity approximation of the TASEP in contact with weak reservoirs. Further applications to a class of asymmetric exclusion processes with long jumps are discussed.
Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |
Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |
ID Code: | 3036 |
Deposited By: | Jana Jerosch |
Deposited On: | 17 Jan 2024 09:09 |
Last Modified: | 21 Mar 2025 10:23 |
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