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

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期刊全称Algebraic Modeling of Topological and Computational Structures and Applications
期刊简称THALES, Athens, Gree
影响因子2023Sofia Lambropoulou,Doros Theodorou,Louis H. Kauffm
视频video
发行地址Includes supplementary material:
学科分类Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Algebraic Modeling of Topological and Computational Structures and Applications; THALES, Athens, Gree Sofia Lambropoulou,Doros Theodorou,Lo
影响因子.This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy 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 with particular emphasis on braid groups..The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification.. .This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical Uni
Pindex Conference proceedings 2017
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A Survey on Temperley–Lieb-type Quotients from the Yokonuma–Hecke Algebrashe Yokonuma–Hecke algebra of type .. More precisely, we present all three possible quotient algebras the emerged during this construction and we discuss their dimension, linear bases, representation theory and the necessary and sufficient conditions for the unique Markov trace of the Yokonuma–Hecke
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Invariants for Links from Classical and Affine Yokonuma–Hecke Algebrasnuma–Hecke algebras with usual affine Hecke algebras. We use it to construct a large class of Markov traces on affine Yokonuma–Hecke algebras, and in turn, to produce invariants for links in the solid torus. By restriction, this construction contains the construction of invariants for classical link
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The Braid Approach to the HOMFLYPT Skein Module of the Lens Spaces ,(,, 1)int is the knot theory of the solid torus ST and the Lambropoulou invariant, ., for knots and links in ST, the universal analogue of the HOMFLYPT polynomial in ST. The relation between . and . is established in Diamantis et al. (J Knot Theory Ramif, 25:13, 2016, [.]) and it is shown that in order to
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Linking in Systems with One-Dimensional Periodic Boundariesen chains and, then, to systems of such chains via the periodic linking and periodic self-linking of chains. These lead to the periodic linking matrix and its associated eigenvalues providing measures of entanglement that can be applied to complex systems. We describe the general one-dimensional cas
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