Results 11 to 20 of about 293,756 (338)
The Critical Exponent is Computable for Automatic Sequences [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 The critical exponent of an infinite word is defined to be the supremum of the exponent of each of its factors. For k-automatic sequences, we show that this critical exponent is always either a rational number or infinite, and its value is computable ...
Jeffrey Shallit
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Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has U_q(SU(3)) symmetry. We derive the nested Bethe ansatz equations and obtain the dynamical critical exponent from the finite-size scaling ...
Birgit Wehefritz-Kaufmann
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The critical exponent functions [PDF]
Comptes Rendus. Mathématique, 2022 The critical exponent of a finite or infinite word $w$ over a given alphabet is the supremum of the reals $\alpha $ for which $w$ contains an $\alpha $-power.
Corona, Dario, Della Corte, Alessandro
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Renormalization of the critical exponent for the shear modulus of magnetoactive elastomers. [PDF]
Sci Rep, 2018 Snarskii AA, Kalita VM, Shamonin M.
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Critical Exponent for the Density of Percolating Flux [PDF]
Nuclear Physics B - Proceedings Supplements, 1993 This paper is a study of some of the critical properties of a simple model for flux. The model is motivated by gauge theory and is equivalent to the Ising model in three dimensions. The phase with condensed flux is studied.
A. Patel +18 more
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Critical exponents for diluted resistor networks [PDF]
Physical Review E, 1999 An approach by Stephen is used to investigate the critical properties of randomly diluted resistor networks near the percolation threshold by means of renormalized field theory. We reformulate an existing field theory by Harris and Lubensky. By a decomposition of the principal Feynman diagrams we obtain a type of diagrams which again can be interpreted
Olaf Stenull, H. K. Janssen, K. Oerding
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Complementary symmetric Rote sequences: the critical exponent and the recurrence function [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We determine the critical exponent and the recurrence function of complementary symmetric Rote sequences. The formulae are expressed in terms of the continued fraction expansions associated with the S-adic representations of the corresponding standard ...
Lubomíra Dvořáková +2 more
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Geometrical Aspect of Compressibility Critical Exponent
Frontiers in Physics, 2022 Critical exponent γ ⪰ 1.1 characterizes the behavior of the mechanical compressibility of a real fluid when the temperature approaches the critical one.
J. S. Yu, W. K. Du, Q. H. Liu
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Antisquares and Critical Exponents
Discrete Mathematics & Theoretical Computer Science, 2023 The (bitwise) complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. An $\textit{antisquare}$ is a nonempty word of the form $x\, \overline{x}$. In this paper, we study infinite binary words that do not contain arbitrarily large antisquares.
Aseem Baranwal +5 more
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On the critical exponent of generalized Thue-Morse words [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 Automata, Logic and ...
Alexandre B. Massé +3 more
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