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The critical exponent functions [PDF]

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   +3 more sources

The Critical Exponent is Computable for Automatic Sequences

open access: yesElectronic 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   +3 more sources

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

open access: yesSymmetry, 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

Nuclear Multifragmentation Critical Exponents [PDF]

open access: yesPhysical Review Letters, 1995
We show that the critical exponents of nuclear multi-fragmentation have not been determined conclusively yet.
Bauer, Wolfgang, Friedman, William
openaire   +5 more sources

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

Antisquares and Critical Exponents

open access: yesDiscrete 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
openaire   +5 more sources

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

Quantum computing critical exponents [PDF]

open access: yesPhysical Review A, 2021
16 pages, 5 ...
Dreyer, Henrik   +2 more
openaire   +2 more sources

Critical Relaxation and Critical Exponents [PDF]

open access: yesModern Physics Letters B, 1997
Dynamic relaxation of the XY model and fully frustrated XY model quenched from an initial ordered state to the critical temperature or below is investigated with Monte Carlo methods. Universal power law scaling behavior is observed. The dynamic critical exponent z and the static exponent η are extracted from the time-dependent Binder cumulant and ...
Luo, H. J., Zheng, B.
openaire   +2 more sources

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