Titlebook: Elliptic Extensions in Statistical and Stochastic Systems; Makoto Katori Book 2023 The Author(s), under exclusive license to Springer Natu

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Book 2023analogue, and elliptic-analogue. Based on the addition formula and associated mathematical structures, productive studies have been carried out in the process of .q.-extension of the rational (classical) formulas in enumerative combinatorics, theory of special functions, representation theory, study

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https://doi.org/10.1007/978-3-322-93175-7ngle delta function. Then we consider the Brownian motion on a unit circle, which is regarded as a one-dimensional torus and is denoted by .. Two different formulas of the transition probability are given, both of which are expressed using the theta function with different nomes. The equivalence of

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https://doi.org/10.1007/978-3-663-14751-0time duration [0, .]. Here we define the correlation functions and their generating function called the characteristic function, which specify the point process. In particular, if all correlation functions are expressed by determinants specified by a two-point continuous function, then the point pro

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法律

Makoto KatoriExplains elliptic extensions using the Brownian motion and determinantal point processes.Uses only one kind of special function, called the theta function, and visualizes elliptic extensions using gra