3,267 research outputs found
Efficient Networks in Models of Player and Partner Heterogeneity
This paper contributes to the literature on centrality measures in economics by defining a team game and identifying the key players in the game. As an illustration of the theory we create a unique data set from the UEFA Euro 2008 tournament. To capture the interaction between players we create the passing network of each team. This all allows us to identify the key player and key groups of players for both teams in each game. We then use our measure to explain player ratings by experts and their market values. Our measure is significant in explaining expert ratings. We also find that players having higher intercentrality measures, regardless of their field position have significantly higher market values.
An Explicit Proof of the Generalized Gauss-Bonnet Formula
In this paper we construct an explicit representative for the Grothendieck
fundamental class [Z] of a complex submanifold Z of a complex manifold X, under
the assumption that Z is the zero locus of a real analytic section of a
holomorphic vector bundle E. To this data we associate a super-connection A on
the exterior algebra of E, which gives a "twisted resolution" of the structure
sheaf of Z. The "generalized super-trace" of A^{2r}/r!, where r is the rank of
E, is an explicit map of complexes from the twisted resolution to the Dolbeault
complex of X, which represents [Z]. One may then read off the Gauss-Bonnet
formula from this map of complexes.Comment: 21 pages. Paper reorganized to improve exposition. To appear in
Asterisqu
Constructing homologically trivial actions on products of spheres
We prove that if a finite group has a representation with fixity ,
then it acts freely and homologically trivially on a finite CW-complex homotopy
equivalent to a product of spheres. This shows, in particular, that every
finite group acts freely and homologically trivially on some finite CW-complex
homotopy equivalent to a product of spheres
Fusion systems and group actions with abelian isotropy subgroups
We prove that if a finite group acts smoothly on a manifold so that
all the isotropy subgroups are abelian groups with rank , then acts
freely and smoothly on M \times \bbS^{n_1} \times...\times \bbS^{n_k} for
some positive integers . We construct these actions using a
recursive method, introduced in an earlier paper, that involves abstract fusion
systems on finite groups. As another application of this method, we prove that
every finite solvable group acts freely and smoothly on some product of spheres
with trivial action on homology.Comment: 13 pages. Last two sections of the previous version are removed for
further study. To appear in Proceedings of the Edinburgh Mathematical Societ
Digital microarrays: single-molecule readout with interferometric detection of plasmonic nanorod labels
DNA and protein microarrays are a high-throughput technology that allow the simultaneous quantification of tens of thousands of different biomolecular species. The mediocre sensitivity and limited dynamic range of traditional fluorescence microarrays compared to other detection techniques have been the technologyâs Achillesâ heel and prevented their adoption for many biomedical and clinical diagnostic applications. Previous work to enhance the sensitivity of microarray readout to the single-molecule (âdigitalâ) regime have either required signal amplifying chemistry or sacrificed throughput, nixing the platformâs primary advantages. Here, we report the development of a digital microarray which extends both the sensitivity and dynamic range of microarrays by about 3 orders of magnitude. This technique uses functionalized gold nanorods as single-molecule labels and an interferometric scanner which can rapidly enumerate individual nanorods by imaging them with a 10Ă objective lens. This approach does not require any chemical signal enhancement such as silver deposition and scans arrays with a throughput similar to commercial fluorescence scanners. By combining single-nanoparticle enumeration and ensemble measurements of spots when the particles are very dense, this system achieves a dynamic range of about 6 orders of magnitude directly from a single scan. As a proof-of-concept digital protein microarray assay, we demonstrated detection of hepatitis B virus surface antigen in buffer with a limit of detection of 3.2 pg/mL. More broadly, the techniqueâs simplicity and high-throughput nature make digital microarrays a flexible platform technology with a wide range of potential applications in biomedical research and clinical diagnostics.The authors wish to thank Oguzhan Avci and Jacob Trueb for thoughtful comments and suggestions regarding numerical optimization of the optical system. This work was funded in part by a research contract with ASELSAN, Inc. and the Wallace H. Coulter Foundation 2010 Coulter Translational Award. (ASELSAN, Inc.; Wallace H. Coulter Foundation Coulter Translational Award)Accepted manuscrip
Key Players and Key Groups in Teams
This paper contributes to the literature on centrality measures in economics by defining a team game and identifying the key players in the game. As an illustration of the theory we create a unique data set from the UEFA Euro 2008 tournament. To capture the interaction between players we create the passing network of each team. This all allows us to identify the key player and key groups of players for both teams in each game. We then use our measure to explain player ratings by experts and their market values. Our measure is significant in explaining expert ratings. We also find that players having higher intercentrality measures, regardless of their field position have significantly higher market values.
Key Players and Key Groups in Teams: A Network Approach Using Soccer Data
This paper provides a way of evaluating a player's contribution to her team and relates her effort to her salaries. We collect data from UEFA Euro 2008 Tournament and construct the passing network of each team. Then we determine the key player in the game while ranking all the other players too. Next, we identify key groups of players to determine which combination of players played more important role in the match. Using 2010 market values and observable characteristics of the players, we show that players having higher intercentrality measures regardless of their field position have significantly higher market values.Social networks, team game, centrality measures
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