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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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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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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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Nuclear Multifragmentation Critical Exponents [PDF]
Physical Review Letters, 1995 We show that the critical exponents of nuclear multi-fragmentation have not been determined conclusively yet.
W. Bauer, William A. Friedman
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Critical Exponents for Random Knots [PDF]
Physical Review Letters, 2000 The size of a zero thickness (no excluded volume) polymer ring is shown to scale with chain length $N$ in the same way as the size of the excluded volume (self-avoiding) linear polymer, as $N^ $, where $ \approx 0.588$. The consequences of that fact are examined, including sizes of trivial and non-trivial knots.
Alexander Y. Grosberg
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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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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 Baranwal +5 more
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Geometrical Aspect of Compressibility Critical Exponent
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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Quantum computing critical exponents [PDF]
Physical Review A, 2021 16 pages, 5 ...
Dreyer, Henrik +2 more
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