Positivity and its Applications

The tenth iteration of the Positivity series of conferences (Positivity X) was held from 8 to 12 July 2019 at the Haftield ... contributed talks were delivered, covering a range of topics related to positivity and its applications.

Author: Eder Kikianty

Publisher: Springer Nature

ISBN: 9783030709747

Category: Mathematics

Page: 321

View: 516


This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators on such spaces, abstract stochastic processes in an ordered setting, the theory and applications of positive semi-groups to partial differential equations, Hilbert geometries, positivity in Banach algebras and, in particular, operator algebras, as well as applications to mathematical economics and financial mathematics. The contributions in this book reflect the variety of topics discussed at the conference. They will be of interest to researchers in functional analysis, operator theory, measure and integration theory, operator algebras, and economics. Positivity X was dedicated to the memory of our late colleague and friend, Coenraad Labuschagne. His untimely death in 2018 came as an enormous shock to the Positivity community. He was a prominent figure in the Positivity community and was at the forefront of the recent development of abstract stochastic processes in a vector lattice context.

Total Positivity and Its Applications

Despite the spectacular applications between total positivity and combinatorics surveyed in this paper an impressive array of open problems and conjectures, both of a total positivity as well as of a combinatorial nature, still remain.

Author: Mariano Gasca

Publisher: Springer Science & Business Media

ISBN: 9789401586740

Category: Mathematics

Page: 518

View: 373


This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.

Handbook of Linear Algebra

Majorization between the diagonal elements and the eigenvalues of an oscillating matrix. Lin. Alg. Appl., 47: 181–184, 1982. [Gar96] J. Garloff. Vertex implications for totally nonnegative matrices. Total Positivity and Its Applications ...

Author: Leslie Hogben

Publisher: CRC Press

ISBN: 9781498785600

Category: Mathematics

Page: 1904

View: 958


With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and

Symmetry Representation Theory and Its Applications

We discuss various notions of positivity and their relations with the study of the Ricci flow, including a proof of the assertion, due to Wolfson and the author, that the Ricci flow preserves the positivity of the complex sectional ...

Author: Roger Howe

Publisher: Springer

ISBN: 9781493915903

Category: Mathematics

Page: 538

View: 896


Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.

Lie Theory and Its Applications in Physics

Because the twist-2 part is obtained by inserting projections, it must separately satisfy Wightman positivity. Of course, we would like to apply the twist-2 intertwiners E1 L of Sect. 3 in both channels, so that the issue reduces to the ...

Author: Vladimir Dobrev

Publisher: Springer Science & Business Media

ISBN: 9784431542704

Category: Mathematics

Page: 554

View: 790


Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics” held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.

IsoGeometric Analysis A New Paradigm in the Numerical Approximation of PDEs

J.M. Carnicer, J.M. Peña, Total positivity and optimal bases, in Total Positivity and Its Applications, ed. by M. Gasca, C.A. Micchelli (Kluwer, Dordrecht, 1996), pp. 133–155 P. de Casteljau, De Casteljau's autobiography: my time at ...

Author: Annalisa Buffa

Publisher: Springer

ISBN: 9783319423098

Category: Mathematics

Page: 193

View: 308


Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance: the isogeometric simulation of a viscous incompressible flow. The contributions were written by Carla Manni and Hendrik Speelers, Vibeke Skytt and Tor Dokken, Lourenco Beirao da Veiga, Annalisa Buffa, Giancarlo Sangalli and Rafael Vazquez, and finally by John Evans and Thomas J.R. Hughes.

Shape Preserving Representations in Computer aided Geometric Design

[ 6 ] Carnicer , J. M. , Peña , J. M. ( 1993 ) , Shape preserving representations and optimality of the Bernstein basis , Advances in Comp . ... ( 1996 ) , Total positivity and its applications , Dordrecht , Kluwer Academic Press .

Author: Juan M. Peña

Publisher: Nova Publishers

ISBN: 1560726911

Category: Computer graphics

Page: 258

View: 316


Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR

Air Force Research Resum s

While these problems are of primary importance in aerodynamics , results will have considerable application in ... 0005 This contract is for the writing of a research monograph on The Theory of Total Positivity and Its Applications .



ISBN: STANFORD:36105211293035

Category: Military research

Page: 856

View: 198


Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010 In 4 Volumes Vol I Plenary Lectures And Ceremonies Vols Ii iv Invited Lectures

[35] Total positivity and its applications, M. Gasca and C. A. Micchelli (Eds.), Mathematics and its Applications 359, Kluwer Academic Publishers, Dordrecht, 1996. [36] P. Hersh, Regular cell complexes in total positivity, ...

Author: Bhatia Rajendra

Publisher: World Scientific

ISBN: 9789814462938

Category: Mathematics

Page: 4144

View: 627


ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.