Differentiability of the Shape Function for Directed Polymers in Continuous Space
| Autor: | Bakhtin, Yuri, Dow, Douglas |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | For directed polymers, the shape function computes the limiting average energy accrued by paths with a given average slope. We prove that, for a large family of directed polymer models in discrete time and continuous space in dimension $1+1$, for positive and zero temperature, the shape function is differentiable with respect to the slope on the entire real line. Comment: Minor changes in this version, corrected a few misprints. 28 pages |
| Databáze: | arXiv |
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