Weiss, Asia Ivić
Overview
Works:  5 works in 19 publications in 1 language and 373 library holdings 

Roles:  Editor, Author, Contributor 
Publication Timeline
.
Most widely held works by
Asia Ivić Weiss
Rigidity and symmetry by
Robert Connelly(
Book
)
15 editions published in 2014 in English and held by 34 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
15 editions published in 2014 in English and held by 34 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
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
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Map operations and korbit maps by
Asia Ivić Weiss(
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 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 HHgraphics 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 blowup techniques, calculations and analytical properties of Dulac maps near the singular point of the blownup sphere, properties of quadratic systems and the generalized derivationdivision methods, we prove that these 4 families of HHgraphics (I1/12 ), (I1/13), (I1/9b) and (I1/11b) have finite cyclicity. Finishing the proof of the cyclicity of these 4 families of HHgraphics represents one important step towards the proof of the finiteness part of Hilbert's 16th problem for quadratic vector fields
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 HHgraphics 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 blowup techniques, calculations and analytical properties of Dulac maps near the singular point of the blownup sphere, properties of quadratic systems and the generalized derivationdivision methods, we prove that these 4 families of HHgraphics (I1/12 ), (I1/13), (I1/9b) and (I1/11b) have finite cyclicity. Finishing the proof of the cyclicity of these 4 families of HHgraphics represents one important step towards the proof of the finiteness part of Hilbert's 16th problem for quadratic vector fields
Ars mathematica contemporanea : SIGMAP 2010(
Book
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
Audience Level
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Related Identities
 Whiteley, Walter Contributor Editor
 Connelly, Robert Author Editor
 Springer Science+Business Media Publisher
 Thompson, Anthony C. 1937 Editor
 Hubard, Isabel Editor
 Shan, Chunhua Author
 Zhu, Huaiping
 Coxeter, Harold Scott Macdonald 19072003 Author
 Fields Institute for Research in Mathematical Sciences
 Wu, Jianhong