Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Volic, Ismar"'
Autor:
Volic, Ismar, Wang, Zixu
Building on previous work, this paper extends the modeling of political structures from simplicial complexes to hypergraphs. This allows the analysis of more complex political dynamics where agents who are willing to form coalitions contain subsets t
Externí odkaz:
http://arxiv.org/abs/2404.14638
We use simplicial complexes to model weighted voting games where certain coalitions are considered unlikely or impossible. Expressions for Banzhaf and Shapley-Shubik power indices for such games in terms of the topology of simplicial complexes are pr
Externí odkaz:
http://arxiv.org/abs/2210.09771
The based loop space of a configuration space of points in a Euclidean space can be viewed as a space of pure braids in a Euclidean space of one dimension higher. We continue our study of such spaces in terms of Kontsevich's CDGA of diagrams and Chen
Externí odkaz:
http://arxiv.org/abs/2106.11441
Autor:
Mock, Andrea, Volic, Ismar
Publikováno v:
Published in Mathematical Social Sciences, Volume 114, November 2021
We use the topology of simplicial complexes to model political structures following [1]. Simplicial complexes are a natural tool to encode interactions in the structures since a simplex can be used to represent a subset of compatible agents. We trans
Externí odkaz:
http://arxiv.org/abs/2104.02131
Multiple Indicator Cluster Surveys (MICS), supported by UNICEF, are one of the most important global household survey programs that provide data on health and education of women and children. We analyze the Serbia 2014-15 MICS dataset using topologic
Externí odkaz:
http://arxiv.org/abs/2012.12422
Autor:
Chen, Yiran, Volic, Ismar
We apply topological data analysis, specifically the Mapper algorithm, to the U.S. COVID-19 data. The resulting Mapper graphs provide visualizations of the pandemic that are more complete than those supplied by other, more standard methods. They enco
Externí odkaz:
http://arxiv.org/abs/2008.05989
Publikováno v:
Q. J. Math. 71 (2020), no. 2, 729-779
We use rational formality of configuration spaces and the bar construction to study the cohomology of the space of braids in dimension four or greater. We provide a diagram complex for braids and a quasi-isomorphism to the de Rham cochains on the spa
Externí odkaz:
http://arxiv.org/abs/1805.09242
Autor:
Sarcevic, Franjo, Volic, Ismar
Publikováno v:
Colloq. Math. 156 (2019), no. 1, 91-122
Manifold calculus of functors has in recent years been successfully used in the study of the topology of various spaces of embeddings of one manifold in another. Given a space of embeddings, the theory produces a Taylor tower whose purpose is to appr
Externí odkaz:
http://arxiv.org/abs/1707.09201
Publikováno v:
Involve 13 (2020) 51-75
We study the beginning of the Taylor tower, supplied by manifold calculus of functors, for the space of r-immersions, which are immersions without r-fold self-intersections. We describe the first r layers of the tower and discuss the connectivities o
Externí odkaz:
http://arxiv.org/abs/1707.03048
Autor:
Hirschhorn, Philip S., Volic, Ismar
If $D$ is a Reedy category and $M$ is a model category, the category $M^{D}$ of $D$-diagrams in $M$ is a model category under the Reedy model category structure. If $C \to D$ is a Reedy functor between Reedy categories, then there is an induced funct
Externí odkaz:
http://arxiv.org/abs/1511.04809