Fractional kinetic equations of the diffusion, diffusion–advection, and Fokker–Planck type
are presented as a useful approach for the description of transport dynamics in complex …

Restricted diffusion is a common feature of many physicochemical, biological, and industrial
processes. Nuclear magnetic resonance techniques are often used to survey the atomic or …

We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …

Wavelet techniques in multifractal analysis Page 1 2585-30 Joint ICTP-TWAS School on
Coherent State Transforms, TimeFrequency and Time-Scale Analysis, Applications S. Jaffard 2 …

We establish an analogue of Weyl's classical theorem for the asymptotics of eigenvalues of
Laplacians on a finitely ramified (ie, pcf) self-similar fractal K, such as, for example, the …

We consider an embedding of planar maps into an equilateral triangle $\Delta $ which we
call the Cardy embedding. The embedding is a discrete approximation of a conformal map …

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem
is to describe the relationship between the shape (geo metry) of the drum and its sound (its …

Geometry has played a crucial role in the formulation and understanding of mathematical
methods in electromagnetic theory. It was the pioneering work of James Clerk Maxwell and …

The present research monograph is a testimony to the fact that Fractal Analysis is deeply
connected to numerous areas of contemporary Mathematics. Here, we have in mind, in …

Casimir effect predicts that two parallel flat neutral plates are attracted to each other due to
quantum fluctuations of the electromagnetic field. In this communication, we study Casimir …