Symmetry and Approximation Methods, 3rd Edition
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 30 November 2026 | Viewed by 101
Special Issue Editor
Interests: time series; applied mathematics; computational physics; mathematical physics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Contributions are welcome on any subject related to Padè approximants with applications to realistic problems in addition to on any subject related to renormalization group applications in physics, finance, and geophysics.
Tentative contents:
- Self‑similarity and renormalization group: roots, factors, and super-exponential approximants;
- Corrected‑Borel and strong‑coupling approximants;
- Resurgence and hyperasymptotic analytic continuation;
- Padè and two‑point Padè—interpolation, extrapolation, and bounds;
- D‑Log Padè, D‑Log roots, and direct self-similar methods for critical index calculations;
- Accelerated convergence and sensitivity‑based optimization;
- Iterated Hölder metrics and self‑similar root structures;
- Classical entanglement, Minkowski geometry, and nonlinear blending of asymptotic laws;
- Non‑parametric asymptotic synthesis and metric‑driven global approximants;
- Applications of Approximation Methods to turbulence, fractional dynamics, and scale‑dependent diffusion;
- Extrapolation and interpolation methods in financial systems (market crashes, symmetry breaking, replica methods);
- Phase transitions and effective properties of complex media;
- Classical versus quantum entanglement; classical-quantum analogies in physics;
- Algorithmic acceleration: symbolic, operator‑driven, sequential, and parallel methods;
- Approximation theory in neural networks and AI architectures;
- Self‑similar, Borel and Padè‑type methods for robustness and generalization in deep learning;
- Physics-informed neural networks (PINNs) enhanced by renormalization-group and self-similar methods;
- Entanglement-based metrics for clustering, machine learning, and data analysis.
Dr. Simon Gluzman
Guest Editor
Manuscript Submission Information
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Keywords
- padé approximants
- renormalization group methods
- self-similar approximation
- asymptotic analysis
- accelerated convergence methods
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Related Special Issue
- Symmetry and Approximation Methods II in Symmetry (6 articles)
