Titlebook: Algebraic Modeling of Topological and Computational Structures and Applications; THALES, Athens, Gree Sofia Lambropoulou,Doros Theodorou,Lo

Diastole

Fourier BraidsFourier series allows an approximation by finite Laurent polynomials .(.). We define an algebraic discriminant ., such that an .-braid is given by those .(.) satisfying the condition (.) of having all roots not on the unit circle. We study property (.) from the algebraic and topological viewpoint. U

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2194-1009 y theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling

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An Introduction to Disorder in Solids,their properties. We focus, in particular, on the family of 2-variable classical link invariants that are not topologically equivalent to the HOMFLYPT polynomial and on the 3-variable classical link invariant that generalizes this family and the HOMFLYPT polynomial.

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H. Pinto,A. Stashans,P. Sanchez and its associated eigenvalues providing measures of entanglement that can be applied to complex systems. We describe the general one-dimensional case and applications to one-dimensional Olympic gels and to tubular filamental structures.

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Defects in Non-Crystalline Oxidese ions results in diverse interactions that directly affect the microscopic structure and the dynamical behaviour of ILs. Molecular simulation methods using optimized force fields are applied for the study of the complex dynamics and the spatial organization in ILs.

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