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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

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

Critical Exponents and Elementary Particles [PDF]

open access: yesCommunications in Mathematical Physics, 1977
Particles are shown to exist for a.e. value of the mass in single phase φ4 lattice and continuum field theories and nearest neighbor Ising models. The particles occur in the form of poles at imaginary (Minkowski) momenta of the Fourier transformed two point function.
Glimm, J., Jaffe, A.
openaire   +2 more sources

Activating critical exponent spectra with a slow drive

open access: yesPhysical Review Research, 2020
We uncover an aspect of the Kibble-Zurek phenomenology, according to which the spectrum of critical exponents of a classical or quantum phase transition is revealed, by driving the system slowly in directions parallel to the phase boundary.
Steven Mathey, Sebastian Diehl
doaj   +1 more source

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