Results 11 to 20 of about 290,989 (292)

The Critical Exponent is Computable for Automatic Sequences [PDF]

open access: diamondElectronic 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
doaj   +5 more sources

Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring [PDF]

open access: diamondSymmetry, 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
doaj   +5 more sources

Complementary symmetric Rote sequences: the critical exponent and the recurrence function [PDF]

open access: yesDiscrete 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
doaj   +1 more source

The critical exponent functions

open access: yesComptes 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
doaj   +1 more source

Geometrical Aspect of Compressibility Critical Exponent

open access: yesFrontiers 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
doaj   +1 more source

On the critical exponent of generalized Thue-Morse words [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2007
Automata, Logic and ...
Alexandre B. Massé   +3 more
doaj   +3 more sources

First and second critical exponents for an inhomogeneous damped wave equation with mixed nonlinearities

open access: yesAIMS Mathematics, 2020
We investigate the Cauchy problem for the nonlinear damped wave equation $u_{tt}-\Delta u +u_t=|u|^p+|\nabla u|^q +w(x)$, where $N\geq 1$, $p,q>1$, $w\in L^1_{loc}(\mathbb{R}^N)$, $w\geq 0$ and $w\not\equiv 0$.
Bessem Samet
doaj   +1 more source

Exponent-critical primitive graphs and the Kronecker product

open access: yesElectronic Journal of Graph Theory and Applications, 2019
A directed graph is primitive of exponent t if it contains walks of length t between all pairs of vertices, and t is minimal with this property. Moreover, it is exponent-critical if the deletion of any arc results in an imprimitive graph or in a ...
Olga O'Mahony, Rachel Quinlan
doaj   +1 more source

The dynamic exponent of the Ising model on negatively curved surfaces [PDF]

open access: yes, 2006
We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic exponent from the ...
Binder K   +16 more
core   +2 more sources

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