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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Future Problems,sional stochastic processes consisting of seven types of noncolliding Brownian bridges. Another one is a family of two-dimensional point processes consisting of seven types of DPPs on .. In this last chapter, we will address future problems concerning these two families of random systems. For the fo

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https://doi.org/10.1007/978-3-322-99390-8or in . defined for a finite time duration [0, .]. The obtained interacting particle systems are temporally inhomogenous processes called the noncolliding Brownian bridges. The limit ., which causes reduction from the elliptic level to the trigonometric level, corresponds to the temporally homogeneo

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2197-1757 ry is shown. At the elliptic level, many special functions are used, including Jacobi‘s theta functions, Weierstrass elliptic functions, Jacobi‘s elliptic functions, and others. This monograph is not intended t978-981-19-9526-2978-981-19-9527-9Series ISSN 2197-1757 Series E-ISSN 2197-1765

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KMLGV Determinants and Noncolliding Brownian Bridges,or in . defined for a finite time duration [0, .]. The obtained interacting particle systems are temporally inhomogenous processes called the noncolliding Brownian bridges. The limit ., which causes reduction from the elliptic level to the trigonometric level, corresponds to the temporally homogeneo

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Determinantal Point Processes Associated with Biorthogonal Systems,e scaling consisting of the proper dilatation and time change, we perform the infinite-particle limit .. Then we obtain four types of time-dependent DPPs on . or . with an infinite number of particles with time duration [0, .]. Their temporally homogeneous limits are identified with the infinite DPP

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https://doi.org/10.1007/978-3-030-39935-1Islamic Financial Inclusion; Financial Inclusion; Social Inclusion; Enhancing Inclusion; Islamic Fintech