Self-similar structures and fractal transforms in approximation theory

DOI10.1016/S0960-0779(02)00029-2zbMath1049.81527arXivhep-ph/0211349OpenAlexW2092291552MaRDI QIDQ1877929

E. P. Yukalova, V. I. Yukalov

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0211349

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Strong interaction, including quantum chromodynamics (81V05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Fractals (28A80)

Related Items (16)

Reliability of the optimized perturbation theory in the 0-dimensional \(O(N)\) scalar field model ⋮ Extrapolation of perturbation-theory expansions by self-similar approximants ⋮ Self-similar law of energy release before materials fracture ⋮ Self-similar extrapolation from weak to strong coupling ⋮ Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories ⋮ Representative statistical ensembles for Bose systems with broken gauge symmetry ⋮ Extrapolation and interpolation of asymptotic series by self-similar approximants ⋮ Physics of risk and uncertainty in quantum decision making ⋮ Continued functions and perturbation series: simple tools for convergence of diverging series in \(\mathrm{O}(n)\)-symmetric \(\phi^4\) field theory at weak coupling limit ⋮ Self-similar power transforms in extrapolation problems ⋮ Self-similar continued root approximants ⋮ Self-similar factor approximants for evolution equations and boundary-value problems ⋮ Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit ⋮ From Coherent Modes to Turbulence and Granulation of Trapped Gases ⋮ Effective summation and interpolation of series by self-similar root approximants ⋮ Continued functions and Borel–Leroy transformation: resummation of six-loop ϵ-expansions from different universality classes

Cites Work

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