35,138 research outputs found

    Specifieke Aspecten TunnelOntwerp (SATO)

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    SATO omvat aspecten van het ontwerp van tunnels. In SATO wordt per deel op een aspect van het ontwerp van tunnels en aquaducten ingegaan. Deel 2 omvat de dwars- en langsprofielen in tunnels en aquaducten. In deel 3 worden bouwmethoden omschreven en deel 4 omvat toegepaste rekenmethoden. Details van tunnels zijn in deel 5 vastgelegd, kostenramingen in deel 6. De opbouw en eisen aan elektromechanische installaties zijn in deel 7 van SATO opgenomen. Tot slot zijn de aspecten van afgezonken tunnels tijdens de uitvoering in deel 8 vastgelegd

    SimpleBounce: A simple package for the false vacuum decay

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    We present SimpleBounce, a C++ package for finding the bounce solution for the false vacuum decay. This package is based on a flow equation which is proposed by the author R. Sato (2020) and solves Coleman–Glaser–Martin’s reduced problem (S. R. Coleman et al. 1978): the minimization problem of the kinetic energy while fixing the potential energy. The bounce configuration is obtained by a scale transformation of the solution of this problem. For models with 1–8 scalar field(s), the bounce action can be calculated with O(0.1) % accuracy in O(0.1) s. This package is available at http://github.com/rsato64/SimpleBounce

    A note on the moments of the first-passage-time of the Ornstein-Uhlenbeck process with a reflecting boundary

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    For the Ornstein-Uhlenbeck process with a reflecting boundary the moments of the first-passage time through a constant boundary are obtained in a closed form that appears to be particularly suitable for computation purposes. This is achieved via the determination of the Laplace transform of the first-passage time probability density function by a method previously devised by L. M. Ricciardi and S. Sato [J. Appl. Probab. 25, No. 1, 43–57 (1988; Zbl 651.60080)] for the unrestricted case

    A note on the moments of the first-passage-time of the Ornstein-Uhlenbeck process with a reflecting boundary

    No full text
    For the Ornstein-Uhlenbeck process with a reflecting boundary the moments of the first-passage time through a constant boundary are obtained in a closed form that appears to be particularly suitable for computation purposes. This is achieved via the determination of the Laplace transform of the first-passage time probability density function by a method previously devised by L. M. Ricciardi and S. Sato [J. Appl. Probab. 25, No. 1, 43–57 (1988; Zbl 651.60080)] for the unrestricted case

    "Robustness of the Separating Information Maximum Likelihood Estimation of Realized Volatility with Micro-Market Noise"

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    For estimating the realized volatility and covariance by using high frequency data, Kunitomo and Sato (2008a,b) have proposed the Separating Information Maximum Likelihood (SIML) method when there are micro-market noises. The SIML estimator has reasonable asymptotic properties; it is consistent and it has the asymptotic normality (or the stable convergence in the general case) when the sample size is large under general conditions including non-Gaussian processes and volatility models. We also show that the SIML estimator has the asymptotic robustness in the sense that it is consistent and it has the asymptotic normality when there are autocorrelations in the market noise terms and there are endogenous correlations between the signal and noise terms.

    First-passage-time density and moments of Ornstein-Uhlenbeck process

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    A detailed study of the asymptotic behavior of the first-passage-time p.d.f. and its moments is carried out for an unrestricted conditional Ornstein-Uhlenbeck process and for a constant boundary. Explicit expressions are determined which include those earlier discussed by Sato [15] and by Nobile et al. [9]. In particular, it is shown that the first-passage-time p.d.f. can be expressed as the sum of exponential functions with negative exponents and that the latter reduces to a single exponential density as time increases, irrespective of the chosen boundary. The explicit expressions obtained for the first-passage-time moments of any order appear to be particularly suitable for computation purposes

    Sato, S

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    Supercongruences Arising from Ramanujan-Sato Series

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    Recently, the authors with Lea Beneish established a recipe for constructing Ramanujan-Sato series for 1/π, and used this to construct 11 explicit examples of Ramanujan-Sato series arising from modular forms for arithmetic triangle groups of non-compact type. Here, we use work of Chisholm, Deines, Long, Nebe and the third author to prove a general p-adic supercongruence theorem through an explicit connection to CM hypergeometric elliptic curves that provides p-adic analogues of these Ramanujan-Sato series. We further use this theorem to construct explicit examples related to each of our explicit Ramanujan-Sato series examples

    Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations

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    This article illustrates Hirota-Sato formalism by establishing that Hirota’s direct method is derivable from Sato theory. This formalism is considered via Maya diagrams and used to describe the Kadomtsev-Petviashvili (KP), Korteweg-de Vries (KdV) and Sawada-Kotera (S-K) equations. This is done by expressing the Hirota bilinear forms of KP, KdV and S-K equations in terms of Maya diagrams. These results are then shown to be closely linked to the Plucker relations in Sato theory. Thus Hirota-Sato formalism via this conceptual framework provides a deeper understanding of soliton theory from a unified viewpoin

    Reflections on harmonic analysis of the Sierpinski gasket

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    Based on the geometric structure of the Sierpinski gasket, KIGAMI [10], [11] established the harmonic analysis for the gasket analytically. On the other hand DENKER and SATO [3] proved that the Sierpinski gasket S in R-N has a natural description as the Martin boundary for some canonical Markov chain on the word space. The aim of this paper is to reveal the connection between the harmonic analysis of the Markov chain and that of the Sierpinski gasket viewed as a Martin boundary, and to describe this analysis in terms of the Markov operator, the Martin kernel and the structure of the word space
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