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The Resource Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 13, 2015, edited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman, (electronic resource)
Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 13, 2015, edited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman, (electronic resource)
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The item Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 13, 2015, edited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 13, 2015, edited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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, 3manifolds, 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
 Language
 eng
 Extent
 XV, 482 p. 151 illus., 61 illus. in color.
 Contents

 PART ONE: Konstantinos Karvounis and Sofia Lambropoulou, Link invariants from the Yokonuma Hecke algebras
 Dimos Goundaroulis, A survey on TemperleyLiebtype quotients from the YokonumaHecke 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 Hecketype 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, DyerLashof algebra, cohomology of the infinite symmetric group and modular invariants. PART TWO: Kenneth Millett and Eleni Panagiotou, Linking in systems with onedimensional 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 firstorder logic via Athena
 Theodoros Mitsikas, Petros Stefaneas and Iakovos Ouranos, A rulebased approach for air traffic control in the vicinity of the airport
 Μarianthi 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
 Isbn
 9783319681030
 Label
 Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 13, 2015
 Title
 Algebraic Modeling of Topological and Computational Structures and Applications
 Title remainder
 THALES, Athens, Greece, July 13, 2015
 Statement of responsibility
 edited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman
 Subject

 Geometry
 Topology
 Number theory
 Number Theory
 Number theory
 Number Theory
 Combinatorial analysis
 Topology
 Computer science  Mathematics
 Electronic resources
 Mathematics
 Computer science  Mathematics
 Combinatorial analysis
 Geometry
 Computational Mathematics and Numerical Analysis
 Mathematics
 Combinatorics
 Language
 eng
 Summary
 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, 3manifolds, 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
 Image bit depth
 0
 LC call number
 QA611614.97
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Lambropoulou, Sofia.
 Theodorou, Doros.
 Stefaneas, Petros.
 Kauffman, Louis H.
 SpringerLink
 Series statement
 Springer Proceedings in Mathematics & Statistics,
 Series volume
 219
 http://library.link/vocab/subjectName

 Mathematics
 Computer science
 Geometry
 Number theory
 Topology
 Combinatorial analysis
 Mathematics
 Topology
 Computational Mathematics and Numerical Analysis
 Combinatorics
 Geometry
 Number Theory
 Topology
 Label
 Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 13, 2015, edited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 PART ONE: Konstantinos Karvounis and Sofia Lambropoulou, Link invariants from the Yokonuma Hecke algebras  Dimos Goundaroulis, A survey on TemperleyLiebtype quotients from the YokonumaHecke 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 Hecketype 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, DyerLashof algebra, cohomology of the infinite symmetric group and modular invariants. PART TWO: Kenneth Millett and Eleni Panagiotou, Linking in systems with onedimensional 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 firstorder logic via Athena  Theodoros Mitsikas, Petros Stefaneas and Iakovos Ouranos, A rulebased approach for air traffic control in the vicinity of the airport  Μarianthi 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
 Dimensions
 unknown
 Extent
 XV, 482 p. 151 illus., 61 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319681030
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319681030
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319681030
 Label
 Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 13, 2015, edited by Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 PART ONE: Konstantinos Karvounis and Sofia Lambropoulou, Link invariants from the Yokonuma Hecke algebras  Dimos Goundaroulis, A survey on TemperleyLiebtype quotients from the YokonumaHecke 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 Hecketype 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, DyerLashof algebra, cohomology of the infinite symmetric group and modular invariants. PART TWO: Kenneth Millett and Eleni Panagiotou, Linking in systems with onedimensional 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 firstorder logic via Athena  Theodoros Mitsikas, Petros Stefaneas and Iakovos Ouranos, A rulebased approach for air traffic control in the vicinity of the airport  Μarianthi 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
 Dimensions
 unknown
 Extent
 XV, 482 p. 151 illus., 61 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319681030
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319681030
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319681030
Subject
 Combinatorial analysis
 Combinatorial analysis
 Combinatorics
 Computational Mathematics and Numerical Analysis
 Computer science  Mathematics
 Computer science  Mathematics
 Electronic resources
 Geometry
 Geometry
 Mathematics
 Mathematics
 Number Theory
 Number Theory
 Number theory
 Number theory
 Topology
 Topology
Member of
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