Results 11 to 20 of about 37,723 (299)
On minimal critical exponent of balanced sequences [PDF]
Theoretical Computer Science, 2022 We study the threshold between avoidable and unavoidable repetitions in infinite balanced sequences over finite alphabets. The conjecture stated by Rampersad, Shallit and Vandomme says that the minimal critical exponent of balanced sequences over the ...
Shur, A. M. +3 more
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The critical exponent of the Arshon words [PDF]
RAIRO - Theoretical Informatics and Applications, 2010 Generalizing the results of Thue (for n = 2) [Norske Vid. Selsk. Skr. Mat. Nat. Kl. 1 (1912) 1–67] and of Klepinin and Sukhanov (for n = 3) [Discrete Appl. Math.
Dalia Krieger, Krieger, Dalia
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Critical exponent for the heat equation in alpha-modulation spaces
Electronic Journal of Differential Equations, 2016 In this article, we propose a method for finding the critical exponent for heat equations in $\alpha$-modulation space $M_{p,q}^{s,\alpha}$. We define an index $\sigma (s,p,q)$, and use it to determine the critical exponent of the heat equation. Then
Wang Zheng, Huang Qiang, Bu Rui
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Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent
Electronic Journal of Differential Equations, 2011 We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.
Mohammed Bouchekif +1 more
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Antisquares and Critical Exponents
Discrete 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 R. Baranwal +5 more
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Critical Relaxation and Critical Exponents [PDF]
Modern 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.
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Discrete subgroups of small critical exponent
, 2023 We prove that finitely generated higher dimensional Kleinian groups withsmall critical exponent are always convex-cocompact. Along the way, we alsoprove some geometric properties for any complete pinched negatively curvedmanifold with critical exponent ...
Beibei Liu +3 more
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On the Critical Exponent for k-Primitive Sets [PDF]
Combinatorica, 2021 A set of positive integers is primitive (or 1-primitive) if no member divides another. Erdős proved in 1935 that the weighted sum $\sum1/(n \log n)$ for $n$ ranging over a primitive set $A$ is universally bounded over all choices for $A$. In 1988 he asked if this universal bound is attained by the set of prime numbers.
Tsz Ho Chan +2 more
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Journal of Combinatorial Theory, Series A, 2016 21 pages; added Proposition 4.15 on correlation matrices.
Dominique Guillot +2 more
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On balanced sequences and their critical exponent
Theoretical Computer Science, 2023 We study aperiodic balanced sequences over finite alphabets. A sequence vv of this type is fully characterised by a Sturmian sequence u and two constant gap sequences y and y'. We show that the language of v is eventually dendric and we focus on return words to its factors. We develop a method for computing the critical exponent and asymptotic critical
Francesco Dolce +2 more
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