Results 21 to 30 of about 4,431,158 (291)
On the Critical Exponent for k-Primitive Sets [PDF]
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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Critical Behavior of La0.8Ca0.2Mn1−xCoxO3 Perovskite (0.1 ≤ x ≤ 0.3)
The critical properties of La0.8Ca0.2Mn1−xCoxO3 (x = 0, 0.1, 0.2 and 0.3) compounds were investigated by analysis of the magnetic measurements in the vicinity of their critical temperature. Arrott plots revealed that the paramagnetic PM-ferromagnetic (FM)
Dorra Turki +10 more
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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.
Glimm, J., Jaffe, A.
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On minimal critical exponent of balanced sequences [PDF]
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 alphabet of size $d \geq 5$ equals $\frac{d-2}{d-3}$. This conjecture is known to hold for $d\in \{5, 6,
L'ubomíra Dvoráková +3 more
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On balanced sequences and their critical exponent
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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Critical Exponents in Zero Dimensions [PDF]
In the vicinity of the onset of an instability, we investigate the effect of colored multiplicative noise on the scaling of the moments of the unstable mode amplitude. We introduce a family of zero dimensional models for which we can calculate the exact value of the critical exponents $β_m$ for all the moments.
Alexakis, A., Pétrélis, F.
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Nonextensive percolation and Lee-Yang edge singularity from nonextensive λϕ3 scalar field theory
We compute the critical exponents for nonextensive λϕ3 scalar field theory for all loop orders and |q−1|
P.R.S. Carvalho
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Critical exponents and where to find them
In this expository paper we present a list of different semilinear wave-type problems with time-variable coefficients. The aim of this work is to understand the influence of such coefficients on the critical exponents for polynomial nonlinearities ...
Sandra Lucente
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Erratum to: On critical exponents for self-similar collapse
The Authors order and affiliations order for author Ehsan Hatefi has been ...
Ehsan Hatefi, Riccardo Antonelli
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On a p-Laplacian system with critical Hardy–Sobolev exponents and critical Sobolev exponents [PDF]
In this paper, the existence results of positive solutions for the semiliner elliptic system \[ \begin{cases} -\text{div} (|\nabla u_i|^{p-2} \nabla u_i) - \mu \frac{|u_i|^{p-2}u_i}{|x|^p} \\ = \frac{1}{p^*} F_{u_i}(u_1,\ldots,u_k) + \frac{|u_i|^{p^*(t)-2}u_i}{|x|^t} + \lambda \frac{|u_i|^{p-2}u_i}{|x|^s}, \quad x \in \Omega, \\ u_i=0 \quad \text{on} \;
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