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[CCICADA-announce] DIMACS/CCICADA Interdisciplinary SeminarSeries - Monday, October 22, 2012

Linda Casals lindac at
Thu Oct 18 10:50:19 EDT 2012


DIMACS/CCICADA Interdisciplinary Seminar Series Presents

Title: On the convergence of the Hegselmann-Krause system

Speaker: Arnab Bhattacharyya, DIMACS, Rutgers University

Date: Monday, October 22, 2012 11:00am - 12:00pm

Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University                 
             Busch Campus, Piscataway, NJ

 We study convergence of the following discrete-time non-linear
 dynamical system: n agents are located in R^d and at every time step,
 each moves synchronously to the average location of all agents within
 a unit distance of it. This popularly studied system was introduced
 by Krause to model the dynamics of opinion formation and is often
 referred to as the Hegselmann- Krause model. We prove the first
 polynomial time bound for the convergence of this system in arbitrary
 dimensions. This improves on the bound of n^{O(n)} resulting from a
 more general theorem of Chazelle. Also, we show a quadratic lower
 bound and improve the upper bound for one-dimensional systems to

 Joint work with Mark Braverman, Bernard Chazelle and Huy L. Nguyen 

DIMACS/CCICADA Interdisciplinary Series, Fall Calendar 2012-

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