03268nam 2200577 450 991054205810332120230809224041.03-11-053171-210.1515/9783110533026(CKB)3710000001304857(MiAaPQ)EBC4851893(DE-B1597)477392(OCoLC)987934923(DE-B1597)9783110533026(Au-PeEL)EBL4851893(CaPaEBR)ebr11380738(CaONFJC)MIL1008651(OCoLC)986177886(EXLCZ)99371000000130485720170519h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierMeanders Sturm global attractors, seaweed lie algebras and classical Yang-Baxter equation /Anna KarnauhovaBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.©20171 online resource (146 pages)3-11-053302-2 3-11-053147-X Includes bibliographical references and index.Frontmatter -- Contents -- Preface -- 1. Seaweed Meanders -- 2. Meanders -- 3. Morse Meanders and Sturm Global Attractors -- 4. Right and Left One-Shifts -- 5. Connection Graphs of Type I, II, III and IV -- 6. Meanders and the Temperley-Lieb Algebra -- 7. Seaweed Lie Algebras and Seaweed Meanders -- 8. Classical Yang-Baxter Equation and Seaweed Meanders -- Summary in German (Zusammenfassung) -- BibliographyThis unique book's subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edges, meanders are introduced from the graphtheoretical perspective. Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation. Contents Seaweed Meanders Meanders Morse Meanders and Sturm Global Attractors Right and Left One-Shifts Connection Graphs of Type I, II, III and IV Meanders and the Temperley-Lieb Algebra Representations of Seaweed Lie Algebras CYBE and Seaweed Meanders Curves, AlgebraicAttractors (Mathematics)Lie algebrasYang-Baxter equationCurves, Algebraic.Attractors (Mathematics)Lie algebras.Yang-Baxter equation.512Karnauhova Anna1193475MiAaPQMiAaPQMiAaPQBOOK9910542058103321Meanders2761330UNINA05845nam 22008295 450 991025403420332120200704084644.03-319-31450-510.1007/978-3-319-31450-1(CKB)3710000000765468(DE-He213)978-3-319-31450-1(MiAaPQ)EBC4613315(PPN)194512142(EXLCZ)99371000000076546820160726d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierTwo-Dimensional Transition-Metal Dichalcogenides /by Alexander V. Kolobov, Junji Tominaga1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XVII, 538 p. 378 illus., 292 illus. in color.) Springer Series in Materials Science,0933-033X ;2393-319-31449-1 Includes bibliographical references at the end of each chapters and index.Introduction -- Chemistry of Transition Metal Dichalcogenides -- Brief Review of Bulk TMDCs: Structure and Properties -- Fabrication of 2D TMDC -- Structure of Monolayer and Few-Layer TMDCs -- Band Structure of 2D TMDCs -- Raman Scattering Spectroscopy of 2D TMDCs -- Photoluminescence of 2D TMDC -- Excitons in 2D TMDCs -- Magnetism of 2D TMDCs -- Spin-Valley Coupling in 2D TMDCs -- Miscellaneous Phenomena -- Functionalization of 2D TMDCs -- TMDC Heterostructures -- Applications of 2D TMDCs.This book summarizes the current status of theoretical and experimental progress in 2 dimensional graphene-like monolayers and few-layers of transition metal dichalcogenides (TMDCs). Semiconducting monolayer TMDCs, due to the presence of a direct gap, significantly extend the potential of low-dimensional nanomaterials for applications in nanoelectronics and nano-optoelectronics as well as flexible nano-electronics with unprecedented possibilities to control the gap by external stimuli. Strong quantum confinement results in extremely high exciton binding energies which forms an interesting platform for both fundamental studies and device applications. Breaking of spatial inversion symmetry in monolayers results in strong spin-valley coupling potentially leading to their use in valleytronics. Starting with the basic chemistry of transition metals, the reader is introduced to the rich field of transition metal dichalcogenides. After a chapter on three dimensional crystals and a description of top-down and bottom-up fabrication methods of few-layer and single layer structures, the fascinating world of two-dimensional TMDCs structures is presented with their unique atomic, electronic, and magnetic properties. The book covers in detail particular features associated with decreased dimensionality such as stability and phase-transitions in monolayers, the appearance of a direct gap, large binding energy of 2D excitons and trions and their dynamics, Raman scattering associated with decreased dimensionality, extraordinarily strong light-matter interaction, layer-dependent photoluminescence properties, new physics associated with the destruction of the spatial inversion symmetry of the bulk phase, spin-orbit and spin-valley couplings. The book concludes with chapters on engineered heterostructures and device applications such as a monolayer MoS2 transistor. Considering the explosive interest in physics and applications of two-dimensional materials, this book is a valuable source of information for material scientists and engineers working in the field as well as for the graduate students majoring in materials science.Springer Series in Materials Science,0933-033X ;239Optical materialsElectronicsMaterialsSurfaces (Physics)Interfaces (Physical sciences)Thin filmsNanotechnologyNanoscienceNanoscienceNanostructuresMicrowavesOptical engineeringOptical and Electronic Materialshttps://scigraph.springernature.com/ontologies/product-market-codes/Z12000Surface and Interface Science, Thin Filmshttps://scigraph.springernature.com/ontologies/product-market-codes/P25160Nanotechnology and Microengineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T18000Nanoscale Science and Technologyhttps://scigraph.springernature.com/ontologies/product-market-codes/P25140Microwaves, RF and Optical Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T24019Optical materials.ElectronicsMaterials.Surfaces (Physics)Interfaces (Physical sciences)Thin films.Nanotechnology.Nanoscience.Nanoscience.Nanostructures.Microwaves.Optical engineering.Optical and Electronic Materials.Surface and Interface Science, Thin Films.Nanotechnology and Microengineering.Nanoscale Science and Technology.Microwaves, RF and Optical Engineering.546.72Kolobov Alexander Vauthttp://id.loc.gov/vocabulary/relators/aut866156Tominaga Junjiauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254034203321Two-Dimensional Transition-Metal Dichalcogenides2508532UNINA