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The Lorentz attractor and Smale horseshoe are typical examples of fractal invariant sets for dynamical systems. Fractal objects are ubiquitous in dynamics, including invariant sets, invariant measures, invariant foliations et cetera.
Thermodynamical formalism is a powerful tool for studying dimensions of fractal objects. It originated in statistical mechanics, but currently it has applications to many area of mathematics including spectral theory, hyperbolic geometry and probability theory.
The goal of this conference is to bring together experts studying fractal objects in dynamics in order to review recent progress in the field and catalyze further research.
One trend in many of these new scenarios in coding theory is the need for algorithmic solutions. For many problems in coding theory, it is possible to come up with nearly optimal solutions (information-theoretically speaking) which are likely very hard for Alice and Bob to actually implement. The goal of algorithmic coding theory is to design solutions which are not only combinatorially good, but are also computationally efficient.
The goal of this workshop is to bring together researchers from several different communities -- applied math, theoretical computer science, communications and electrical engineering -- to focus on a few quickly-moving topics in algorithmic coding theory.
The conference will cover, but is not limited to, the main themes: Algebra, Geometry, dynamical symmetries and conservation laws, mathematical physics and applications.
This in particular includes the themes: Deformation theory and quantization, Hom-algebras and n-ary algebraic structures, Hopf algebra, integrable systems and related mathematical structures, jet theory and Weil bundles, Lie theory and applications, noncommutative geometry, Lie algebras, and more.
The conference will focus on the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and noncommutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, noncommutative dynamics, non-commutative geometry and applications in physics and beyond.
We shall deal with applications to mathematical analysis, like the replacing of Hodges theorem with actual integration of the differential system that specifies Kaehlers exterior and interior derivatives (read curl and divergence). We shall also deal with an additional generalization to Clifford valued differential forms. It takes us beyond Dirac type environments into one that seems appropriate for high energy physics and QM foundations. See arXiv under Jose G Vargas
Last updated: 26 January 2016