# Fractals: Geometry, Analysis and Mathematical Physics

A special issue of *Mathematics* (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: **closed (30 November 2020)** | Viewed by 10747

## Special Issue Editor

**Interests:**mathematical physics; functional and harmonic analysis; geometric analysis, partial differential equations (PDEs); dynamical systems; spectral geometry; fractal geometry; connections with number theory, geometry and spectral theory; arithmetic geometry and noncommutative geometry

## Special Issue Information

Dear Colleagues,

The goal of this Special Issue is to publish a collection of interesting and novel mathematics or mathematical physics original research papers or research expository articles, on a broad variety of topics related to fractals, viewed either as geometric or analytic objects, and their applications. Only papers of sufficiently high quality to be published in good quality established scholarly mathematics, mathematical physics or applied mathematics journals will be considered for publication in this Special Issue.

Possible topics include, but are not limited to:

- Analysis and partial differential equations on or off fractals.
- Wave propagation in fractal media.
- Vibrations of fractal drums.
- Geometry (and/or geometric measure theory) of fractals.
- Self-similar sets and their various extensions.
- Dimension theory of fractals (including complex dimensions and fractal zeta functions).
- Fractals and number theory.
- Fractals and probability theory (e.g., random fractals, diffusions and other stochastic processes on fractals).
- Fractals and dynamical systems.
- Fractals and mathematical physics.
- Fractals and computer graphics or scientific computation, experimental mathematics.
- Nonsmooth analysis (e.g., metric measure spaces and doubling spaces).
- Noncommutative fractal geometry; fractals and operator algebras.
- Fractal tilings.
- Quasicrystals (e.g., geometric description, mathematical theory of diffraction).

## Keywords

- Fractals and related topics
- Geometry
- Analysis
- Mathematical physics
- Dynamical systems
- Number theory
- Probability theory
- Operator algebras
- Scientific computation and computer graphics
- Mathematical theory and applications