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Math Colloquium
Eitan Tadmor
CSCAMM and Department of Mathematics, University of Maryland
Title: Consensus and Flocking in Self-Alignment Dynamics

Abstract: We discuss self-organized dynamics of agent-based models with focus on a prototype model driven by non-symmetric self-alignment introduced in [1].

Unconditional consensus and flocking emerge when the self-alignment is driven by global interactions with a sufficiently slow decay rate. In more realistic models, however, the interaction of self-alignment is compactly supported, and open questions arise regarding the emergence of clusters/flocks/consensus, which are related to the propagation of connectivity of the underlying graph.

In particular, we discuss heterophilious self-alignment: here, the pairwise interaction between agents increases with the diversity of their positions and we assert that this diversity enhances flocking/consensus. The methodology carries over from agent-based to kinetic and hydrodynamic descriptions.

[1] A new model for self-organized dynamics and its flocking behavior, J. Stat. Physics 144(5) (2011) 923-947.

Refreshments at 4:00, Wean 6220.

Date: Friday, November 8, 2013
Time: 4:30 pm
Location: Wean Hall 7218
Submitted by:  Slepcev