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Multifractal Analysis of the Convergence Exponent in Continued Fractions [PDF]
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Kunkun Song, Lulu Fang
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Exponent of Convergence of a Sequence of Ergodic Averages
Mathematical Notes, 2022The author studies exponents of convergence for a sequence of ergodic averages for ergodic measure-preserving non-necessary invertible dynamical systems. Criteria for the boundary values \(1\) and \(\infty\) of the exponent of convergence are given. Additionally, functions cohomologous to zero with a given exponent of convergence are described.
I V Podvigin
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On the Convergence Exponent of Decomposable Relations
Fuzzy Sets and Systems, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan Yang, Xue-ping Wang
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On the exponent of convergence
Rendiconti del Circolo Matematico di Palermo, 1982Es sei\(\left\{ {\xi _k } \right\}_{k = 1}^\infty \) eine Folge von reellen Zahlen mit $$0< \xi _1 \leqslant \xi _2 \leqslant ...,\mathop {\lim }\limits_{k \to \infty } \xi _k = + \infty $$ Bezeichnen wir mitS + den metrischen Raum aller Folgen der vorigen Form mit der Frechetschen Metrik π.
Kostyrko, Pavel, Šalát, Tibor
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On the Exponent of Convergence of the Digit Sequence of Engel Series
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei Shang, Lei Shang
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Anomalous convergence of Lyapunov exponent estimates
Physical Review E, 1995Numerical experiments reveal that estimates of the Lyapunov exponent for the logistic map xt+1=f(xt)=4xt(1-xt) are anomalously precise: they are distributed with a standard deviation that scales as 1/N, where N is the length of the trajectory, not as 1/ √N , the scaling expected from an informal interpretation of the central limit theorem. We show that
, Theiler, , Smith
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The Exponent of covergence and a theorem of astala
Indiana University Mathematics Journal, 2002Summary: We provide bounds on the exponent of convergence of a planar discrete quasiconformal group in terms of the associated dilatation and (a) the Hausdorff dimension of its conical limit set, or (b) the exponent of convergence of an underlying Kleinian group.
Bonfert-Taylor, Petra, Taylor, Edward C.
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A Note on Exponent of Convergence of Zeros of Entire Functions [PDF]
Abstract If f(z) is an entire function with ρ 1 > 0 as its exponent of convergence of zeros and if 0 ≤ α < ρ 1, then we prove the existence of entire functions each having α as its exponent of convergence of zeros.
B. Lahiri, Dibyendu Banerjee
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-convergence of power-law functionals with variable exponents
Nonlinear Analysis: Theory, Methods & Applications, 2010The paper is focused on the \(\Gamma\)-convergence of integral functionals of the type \[ I_n(u)= \begin{cases} \int_\Omega \displaystyle \frac{1}{p_n(x)}|\lambda(x) \nabla u(x)|^{p_n(x)}dx &u \in W^{1,p_n(\cdot)}(\Omega)\\ \infty&\text{elsewhere in} \;\;L^1(\Omega) \end{cases} \] and \[ J_n(u)= \begin{cases} \inf\left\{ \mu >0 : \int_\Omega \left ...
Bocea, Marian, Mihăilescu, Mihai
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The Convergence Rate for a Semilinear Parabolic Equation With a Critical Exponent
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