Results 11 to 20 of about 15,115 (237)
Entropy, 2012 We consider non-equilibrium open statistical systems, subject to potentials and to external “heat baths” (hb) at thermal equilibrium at temperature T (either with ab initio dissipation or without it).
Ramon F. Alvarez-Estrada
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Path generating functions and continued fractions
Journal of Combinatorial Theory, Series A, 1986 From the authors' abstract: ``This paper extends \textit{P. Flajolet}'s [Discrete Math. 32, 125--161 (1980; Zbl 0445.05014)] combinatorial theory of continued fractions by obtaining the generating function for paths between horizontal lines, with arbitrary starting and ending point and weights on the steps.
Goulden, I.P, Jackson, D.M
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Touchard-Riordan formulas, T-fractions, and Jacobi's triple product identity [PDF]
, 2011 Touchard-Riordan-like formulas are some expressions appearing in enumeration problems and as moments of orthogonal polynomials. We begin this article with a new combinatorial approach to prove these kind of formulas, related with integer partitions. This
Josuat-Vergès, Matthieu, Kim, Jang Soo
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Generalized Brouncker’s continued fractions and their logarithmic derivatives [PDF]
The Ramanujan Journal, 2013 In this paper, we study the continued fraction y(s,r) which satisfies the equation y(s,r)y(s+2r,r)=(s+1)(s+2r-1) for r > 1/2. This continued fraction is a generalization of the Brouncker's continued fraction b(s). We extend the formulas for the first and the second logarithmic derivatives of b(s) to the case of y(s,r).
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Generalized Continued Logarithms and Related Continued Fractions
, 2016 We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary continued logarithms introduced by Borwein et. al., we focus on a new generalization to an arbitrary integer base $b$.
Borwein, Jonathan M. +2 more
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The quantum chaos conjecture and generalized continued fractions [PDF]
Sbornik: Mathematics, 2003 Summary: The proof of the quantum chaos conjecture is given for a class of systems including as a special case the model of a rotating particle under the action of periodic impulse perturbations. (The distribution of the distances between adjacent energy levels is close to the Poisson distribution and differs from it by terms of the third order of ...
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A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method
Advances in Mathematical Physics, 2012 We discuss how to obtain black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second-order ordinary differential equations.
H. T. Cho +4 more
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Continuous time random walk and diffusion with generalized fractional Poisson process [PDF]
Physica A: Statistical Mechanics and its Applications, 2020 27 pages, 4 figures. Accepted for publication in Physica A.
Michelitsch, Thomas, Riascos, Alejandro
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, 2006 In this paper we develop an integer-affine classification of three-dimensional multistory completely empty convex marked pyramids. We apply it to obtain the complete lists of compact two-dimensional faces of multidimensional continued fractions lying in ...
Karpenkov, Oleg
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Continued Fraction Expansion of Fluctuation Spectrum and Generalized Time Correlation [PDF]
Progress of Theoretical Physics, 1987 A practical approximation method for the fluctuation spectrum and generalized time correlation for a time series observed in stochastic or chaotic dynamics is proposed by utilizing the continued fraction expansion. The present approach enables us to evaluate the fluctuation spectrum and generalized time correlation in a systematic way without trying to
Hirokazu Fujisaka, Masayoshi Inoue
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