| Autor: |
Filiberto Ares, J. G. Esteve, Fernando Falceto |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Springer Proceedings in Physics ISBN: 9783030247478 |
| DOI: |
10.1007/978-3-030-24748-5_1 |
| Popis: |
In this paper we shall study the asymptotics of the logarithm of Toeplitz determinants whose symbol is intermediate between those that provide a finite asymptotic limit to the determinant and those that induce a linear growth with the logarithm of the dimension. We conjecture that in the intermediate case a new behaviour emerges in which the logarithm of the determinant diverges at a rate smaller than the logarithm of the dimension. We give the precise form of this asymptotic behaviour and support it with analytic and numerical arguments. We believe this is the first time that the intermediate regime is considered, as we were not able to find any reference to it in the literature. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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