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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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發(fā)表于 2025-3-21 19:30:10 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(chēng)Algebraic Modeling of Topological and Computational Structures and Applications
期刊簡(jiǎn)稱(chēng)THALES, Athens, Gree
影響因子2023Sofia Lambropoulou,Doros Theodorou,Louis H. Kauffm
視頻videohttp://file.papertrans.cn/153/152681/152681.mp4
發(fā)行地址Includes supplementary material:
學(xué)科分類(lèi)Springer Proceedings in Mathematics & Statistics
圖書(shū)封面Titlebook: Algebraic Modeling of Topological and Computational Structures and Applications; THALES, Athens, Gree Sofia Lambropoulou,Doros Theodorou,Lo
影響因子.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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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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