Semigroup Methods for Evolution Equations on Networks

Semigroup Methods for Evolution Equations on Networks

Author: Delio Mugnolo

Publisher: Springer

Published: 2014-05-21

Total Pages: 294

ISBN-13: 3319046217

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This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.


Advances In Algebra, Proceedings Of The Icm Satellite Conference In Algebra And Related Topics

Advances In Algebra, Proceedings Of The Icm Satellite Conference In Algebra And Related Topics

Author: Kar Ping Shum

Publisher: World Scientific

Published: 2003-07-07

Total Pages: 531

ISBN-13: 9814486787

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This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by R Gonchidorazh, former vice-president of the Mongolian Republic in Ulaanbaatar. The topics covered at the conference included general algebras, semigroups, groups, rings, hopf algebras, modules, codes, languages, automation theory, graphs, fuzzy algebras and applications.


Semigroup Algebras

Semigroup Algebras

Author: Jan Okninski

Publisher: CRC Press

Published: 2020-08-27

Total Pages: 319

ISBN-13: 1000147665

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Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic treatment is current


Semigroups And Languages, Proceedings Of The Workshop

Semigroups And Languages, Proceedings Of The Workshop

Author: Gracinda M S Gomes

Publisher: World Scientific

Published: 2004-07-14

Total Pages: 259

ISBN-13: 9814482323

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In recent years, semigroups and languages have seen huge developments and found their motivation in other fields of mathematics as well as in computer science. This book is a collection of original contributions in those fields.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences


Fundamentals of Semigroup Theory

Fundamentals of Semigroup Theory

Author: John Mackintosh Howie

Publisher: Oxford University Press on Demand

Published: 1995

Total Pages: 351

ISBN-13: 9780198511946

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This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics. It clearly emphasizes "pure" semigroup theory, in particular the various classes of regular semigroups. More than 150 exercises, accompanied by relevant references to the literature, give pointers to areas of the subject not explicitly covered in the text.


Graphs as Groups

Graphs as Groups

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2009

Total Pages: 170

ISBN-13: 1599730936

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For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.


Inverse Semigroups, The Theory Of Partial Symmetries

Inverse Semigroups, The Theory Of Partial Symmetries

Author: Mark V Lawson

Publisher: World Scientific

Published: 1998-11-06

Total Pages: 426

ISBN-13: 9814496715

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Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings.


Proceedings of the Workshop Semigroups and Languages

Proceedings of the Workshop Semigroups and Languages

Author: Isabel M. Ara£jo

Publisher: World Scientific

Published: 2004

Total Pages: 296

ISBN-13: 9789812702616

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In recent years, semigroups and languages have seen huge developments and found their motivation in other fields of mathematics as well as in computer science. This book is a collection of original contributions in those fields. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."