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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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Geometrical Aspect of Compressibility Critical Exponent [PDF]
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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Exponent-critical primitive graphs and the Kronecker product
Electronic 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
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Solutions to Kirchhoff equations with critical exponent
Arab Journal of Mathematical Sciences, 2016 In this paper, we study the following problems {Δ2u−M(∫Ω|∇u|2dx)Δu=λf(x,u)+|u|2∗−2uinΩu=Δu=0on∂Ω, where 2∗=2NN−4 is the critical exponent. Under some conditions on M and f, we prove the existence of nontrivial solutions by using variational methods.
El Miloud Hssini +2 more
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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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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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Activating critical exponent spectra with a slow drive
Physical 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
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On perturbation theory and critical exponents for self-similar systems
European Physical Journal C: Particles and Fields, 2021 Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$\gamma $$ γ . We complete the existing literature on the subject by computing the
Ehsan Hatefi, Adrien Kuntz
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Boundary Value Problems, 2020 In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational ...
Yuanxiao Li, Xiying Wang
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Inhomogeneous Neumann problem with critical Sobolev exponent
Advances in Nonlinear Analysis, 2012 We investigate the solvability of the inhomogeneous Neumann problem involving the critical Sobolev exponent. In particular, we discuss the impact of the shape of the graph of the coefficient of the critical exponent on the existence of a solution.
Chabrowski Jan
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