Results 11 to 20 of about 5,079,022 (381)
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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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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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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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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Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class [PDF]
New Journal of Physics, 2014 We report a careful finite size scaling study of the metal–insulator transition in Anderson's model of localization. We focus on the estimation of the critical exponent ν that describes the divergence of the localization length.
Keith Slevin, Tomi Ohtsuki
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THE CRITICAL EXPONENT θ′ IN SPIN GLASSES [PDF]
, 1999 Short-time dynamic scaling behavior of the 3D $\pm J$ Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap q(t) between ...
H. J. Luo, L. Schülke, Bo Zheng
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Vulcanization and critical exponents [PDF]
Journal de Physique Lettres, 1979 We consider a particular case of vulcanization of polymer chains in a semi dilute solution where a concentration p of vulcanizing agent has been added. This problem is equivalent to the percolation of elements having a functionality f depending both on the length N of the initial chains and on the monomer concentration C. Our approach allows us to take
M. Daoud
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On the Aizenman exponent in critical percolation [PDF]
Journal of Experimental and Theoretical Physics Letters, 2002 The probabilities of clusters spanning a hypercube of dimensions two to seven along one axis of a percolation system under criticality were investigated numerically.
A. Bunde +16 more
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Critical Exponents and Elementary Particles [PDF]
Communications in Mathematical Physics, 1985 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.
James Glimm, Arthur Jaffe
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Critical exponent and discontinuous nonlinearities [PDF]
Differential and Integral Equations, 1993 We prove existence of a positive solution to the problem \[ -\Delta u=| u|^{2^*- 2} u+bh (u-a), \quad u(x)>0 \;\;\text{in }\Omega, \quad u(x)=0\;\;\text{on } \partial\Omega, \tag{1} \] where \(\Omega\) is a bounded regular open set \(\subset \mathbb{R}^ N\), \(2^*= {{2N} \over {n-2}}\) is the critical Sobolev exponent, \(h\) is the Heaviside function ...
Marino Badiale
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