Asymptotic expansions of some Toeplitz determinants via the topological recursion
نویسندگان
چکیده
منابع مشابه
Toeplitz Quantization and Asymptotic Expansions: Geometric Construction⋆
For a real symmetric domain GR/KR, with complexification GC/KC, we introduce the concept of “star-restriction” (a real analogue of the “star-products” for quantization of Kähler manifolds) and give a geometric construction of the GR-invariant differential operators yielding its asymptotic expansion.
متن کاملToeplitz Quantization and Asymptotic Expansions for Real Bounded Symmetric Domains
An analogue of the star product, familiar from deformation quantization, is studied in the setting of real bounded symmetric domains. The analogue turns out to be a certain invariant operator, which one might call star restriction, from functions on the complexification of the domain into functions on the domain itself. In particular, we establish the usual (i.e. semiclassical) asymptotic expan...
متن کاملSome topological operators via grills
In this paper, we define and study two operators $Phi^s$ and $Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $tau^s$ induced from operators $Phi^s$ and $Psi^s$.
متن کاملOn the Limit of Some Toeplitz-Like Determinants
In this article we derive, using standard methods of Toeplitz theory, an asymptotic formula for certain large minors of Toeplitz matrices. Bump and Diaconis obtained the same asymptotics using representation theory, with an answer having a different form.
متن کاملsome topological operators via grills
in this paper, we de ne and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology s induced from operatorss and s.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2019
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-019-01231-6