WorldCat Identities

Weiss, Asia Ivić

Overview
Works: 6 works in 20 publications in 1 language and 391 library holdings
Roles: Editor, Author, Contributor
Publication Timeline
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Most widely held works by Asia Ivić Weiss
Rigidity and symmetry by Robert Connelly( )

15 editions published in 2014 in English and held by 372 WorldCat member libraries worldwide

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures, and to explore the interaction of geometry, algebra, and combinatorics. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. The volume will also be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as postdocs, structural engineers, and chemists
Discrete Geometry and Symmetry Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays( )

1 edition published in 2018 in English and held by 15 WorldCat member libraries worldwide

This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference "Geometry and Symmetry" in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization. The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. Graduate students find state-of-the-art surveys and an open problem collection.
Map operations and k-orbit maps by Asia Ivić Weiss( )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Ars mathematica contemporanea : SIGMAP 2010( Book )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

Kaleidoscopes : selected writings of H.S.M. Coxeter by H. S. M Coxeter( Book )

1 edition published in 1995 in English and held by 1 WorldCat member library worldwide

Theory and applications of high codimension bifurcations by Chunhua Shan( )

1 edition published in 2013 in English and held by 1 WorldCat member library worldwide

The study of bifurcation of high codimension singularities and cyclicity of related limit periodic sets has a long history and is essential in the theory and applications of differential equations and dynamical systems. It is also closely related to the second part of Hilbert's 16th problem. In 1994, Dumortier, Roussarie and Rousseau launched a program aiming at proving the finiteness part of Hilbert's 16th problem for the quadratic vector fields. For the program, 125 graphics need to be proved to have finite cyclicity. Since the launch of the program, most graphics have been proved to have finite cyclicity, and there are 40 challenging cases left. Among the rest of the graphics, there are 4 families of HH-graphics with a triple nilpotent singularity of saddle or elliptic type. Based on the work of Zhu and Rousseau, by using techniques including the normal form theory, global blow-up techniques, calculations and analytical properties of Dulac maps near the singular point of the blown-up sphere, properties of quadratic systems and the generalized derivation-division methods, we prove that these 4 families of HH-graphics (I1/12 ), (I1/13), (I1/9b) and (I1/11b) have finite cyclicity. Finishing the proof of the cyclicity of these 4 families of HH-graphics represents one important step towards the proof of the finiteness part of Hilbert's 16th problem for quadratic vector fields
 
Audience Level
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Audience Level
1
  Kids General Special  
Audience level: 0.53 (from 0.52 for Rigidity a ... to 0.97 for Map operat ...)

Kaleidoscopes : selected writings of H.S.M. Coxeter
Covers
Alternative Names
Ivić Weiss, Asia

Weiss, Asia Ivić.

Languages
English (20)