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This volume, following in the tradition of a similar 2010
publication by the same editors, is an outgrowth of an
international conference, "Fractals and Related Fields II," held in
June 2011. The book provides readers with an overview of
developments in the mathematical fields related to fractals,
including original research contributions as well as surveys from
many of the leading experts on modern fractal theory and
applications. The chapters cover fields related to fractals such
as: *geometric measure theory *ergodic theory *dynamical systems
*harmonic and functional analysis *number theory *probability
theory Further Developments in Fractals and Related Fields is aimed
at pure and applied mathematicians working in the above-mentioned
areas as well as other researchers interested in discovering the
fractal domain. Throughout the volume, readers will find
interesting and motivating results as well as new avenues for
further research.
This contributed volume provides readers with an overview of the
most recent developments in the mathematical fields related to
fractals, including both original research contributions, as well
as surveys from many of the leading experts on modern fractal
theory and applications. It is an outgrowth of the Conference of
Fractals and Related Fields III, that was held on September 19-25,
2015 in ile de Porquerolles, France. Chapters cover fields related
to fractals such as harmonic analysis, multifractal analysis,
geometric measure theory, ergodic theory and dynamical systems,
probability theory, number theory, wavelets, potential theory,
partial differential equations, fractal tilings, combinatorics, and
signal and image processing. The book is aimed at pure and applied
mathematicians in these areas, as well as other researchers
interested in discovering the fractal domain.
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