Results 11 to 20 of about 35,508 (237)
Serendipitous decompositions of higher-dimensional continued fractions [PDF]
Conformal Geometry and Dynamics of The American Mathematical Society, 2023 We prove a suite of dynamical results, including exactness of the transformation and piecewise-analyticity of the invariant measure, for a family of continued fraction systems, including specific examples over reals, complex numbers, quaternions ...
Anton Lukyanenko, J. Vandehey
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The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2018 We consider the family of CIFSs of generalized complex continued fractions with a complex parameter space. This is a new interesting example to which we can apply a general theory of infinite CIFSs and analytic families of infinite CIFSs.
Kanji Inui, Hikaru Okada, Hiroki Sumi
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Calculations of the Invariant Measure for Hurwitz Continued Fractions [PDF]
Experimental Mathematics, 2018 We study the density of the invariant measure of the Hurwitz complex continued fraction from a computational perspective. It is known that this density is piece-wise real-analytic and so we provide a method for calculating the Taylor coefficients around ...
G. Hiary, J. Vandehey
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Hyperelliptic continued fractions and generalized Jacobians [PDF]
American Journal of Mathematics, 2016 :For a complex polynomial $D(t)$ of even degree, one may define the continued fraction of $\sqrt{D(t)}$. This was found relevant already by Abel in 1826, and then by Chebyshev, concerning integration of (hyperelliptic) differentials; they realized that ...
U. Zannier
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Proceedings of the Royal Society A, 2023 We develop a computational framework for the semi-analytic representation of the effective transport properties of two-component composite materials, in the spirit of Bergman’s spectral representation.
R. Valéry Roy
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Continued fractions with SL(2, Z)-branches: combinatorics and entropy [PDF]
, 2013 We study the dynamics of a family K_alpha of discontinuous interval maps whose (infinitely many) branches are Moebius transformations in SL(2, Z), and which arise as the critical-line case of the family of (a, b)-continued fractions.
Carlo Carminati, S. Isola, G. Tiozzo
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Carbon Research, 2022 Exploring the source, transformation pathways, and the fate of natural organic matter (NOM) is critical to understanding the regional/global carbon cycle and carbon budget. The dissolved fraction of NOM, i.e., dissolved organic matter (DOM), is a complex
Yulin Qi +13 more
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The geometry of continued fractions and the topology of surface singularities [PDF]
, 2005 We survey the use of continued fraction expansions in the algebraical and topological study of complex analytic singularities. We also prove new results, firstly concerning a geometric duality with respect to a lattice between plane supplementary cones ...
Patrick Popescu‐Pampu
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On the Analytic Extension of Lauricella-Saran's Hypergeometric Function FK to Symmetric Domains
SymmetryIn this paper, we consider the representation and extension of the analytic functions of three variables by special families of functions, namely branched continued fractions.
R. Dmytryshyn, Vitaliy Goran
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source