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The critical exponent functions [PDF]
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]
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]
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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Nuclear Multifragmentation Critical Exponents [PDF]
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]
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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The Critical Exponent is Computable for Automatic Sequences [PDF]
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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Critical exponent and discontinuous nonlinearities [PDF]
Marino Badiale
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Complementary symmetric Rote sequences: the critical exponent and the recurrence function [PDF]
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
Antisquares and Critical Exponents
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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Quantum computing critical exponents [PDF]
16 pages, 5 ...
Dreyer, Henrik+2 more
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