LEADER 06738nam 22007335 450 001 9910254297103321 005 20200706001605.0 010 $a3-319-68103-6 024 7 $a10.1007/978-3-319-68103-0 035 $a(CKB)4100000001381581 035 $a(DE-He213)978-3-319-68103-0 035 $a(MiAaPQ)EBC5199623 035 $a(PPN)222229063 035 $a(EXLCZ)994100000001381581 100 $a20171215d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgebraic Modeling of Topological and Computational Structures and Applications $eTHALES, Athens, Greece, July 1-3, 2015 /$fedited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XV, 482 p. 151 illus., 61 illus. in color.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v219 311 $a3-319-68102-8 320 $aIncludes bibliographical references and index. 327 $aPART ONE: Konstantinos Karvounis and Sofia Lambropoulou, Link invariants from the Yokonuma Hecke algebras -- Dimos  Goundaroulis, A survey on Temperley-Lieb-type quotients from the Yokonuma-Hecke algebras -- Maria Chlouveraki, Representation theory of framisations of knot algebras -- Loic Poulain d'Andecy, Invariants for links from classical and affine Yokonuma- Hecke algebras -- Marcelo Flores, On the framization of the Hecke algebra of type B -- Bostjan Gabrovsek and Maciej Mroczkowski, Link diagrams in Seifert manifolds and applications to skein modules -- Ioannis Diamantis and Sofia Lambropoulou, ?On the HOMFLYPT skein module of the lens spaces $L(p,1)$ via braids -- Dimitrios Kodokostas and Sofia Lambropoulou, Some Hecke-type algebras derived from the braid group with two fixed strands -- Valerij G. Bardakov, Braid groups in handlebodies and corresponding Hecke algebras -- Nondas E. Kechagias, Infinite loop spaces, Dyer-Lashof algebra, cohomology of the infinite symmetric group and modular invariants.- PART TWO: Kenneth Millett and Eleni Panagiotou, Linking in systems with one-dimensional periodic boundaries -- Neslihan Gügümcü and Louis H. Kauffman, On the height of knotoids -- Stephan Klaus, Fourier braids -- Niki Vergadou, Molecular simulation of ionic liquids: complex dynamics and structure -- Stathis Antoniou and Sofia Lambropoulou, Topological surgery in nature.- PART THREE: Jiannis A. Antoniadis and Aristides Kontogeorgis, Automorphisms of curves -- Nicola Angius, Maria Dimarogkona and Petros Stefaneas, Building and integrating semantic theories over Institutions -- Sergey V. Sudoplatof, Yiannis Kiouvrekis and Petros Stefaneas Generic constructions and generic limits -- Katerina Ksystra, Nikos Triantafyllou and Petros Stefaneas, On combining algebraic specifications with first-order logic via Athena -- Theodoros Mitsikas, Petros Stefaneas and Iakovos Ouranos, A rule-based approach for air traffic control in the vicinity of the airport -- ?arianthi Bozapalidou Sequential Machines and Affine Musical Contours -- Antonios Kalampakas, Nikolaos Triantafyllou, Katerina Ksystra and Petros Stefaneas, A formal representation of video content with the picture hyperoperation,- Evi Karali, Novel approaches to medical information processing and analysis. 330 $aThis interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with particular emphasis on braid groups. The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification. This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical University of Athens, Greece in July 2015. The reader will benefit from the innovative approaches to tackling difficult questions in topology, applications and interrelated research areas, which largely employ algebraic tools. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v219 606 $aTopology 606 $aComputer mathematics 606 $aCombinatorics 606 $aGeometry 606 $aNumber theory 606 $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000 615 0$aTopology. 615 0$aComputer mathematics. 615 0$aCombinatorics. 615 0$aGeometry. 615 0$aNumber theory. 615 14$aTopology. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aCombinatorics. 615 24$aGeometry. 615 24$aNumber Theory. 615 24$aTopology. 676 $a512 702 $aLambropoulou$b Sofia$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTheodorou$b Doros$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aStefaneas$b Petros$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKauffman$b Louis H$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254297103321 996 $aAlgebraic Modeling of Topological and Computational Structures and Applications$91563060 997 $aUNINA