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1
Intro
2
Examples of emergence with living agents
3
Examples of emergence in collective dynamics
4
Fundamentals
5
Alignment - a paradigm for pairwise interactions
6
Opinion Dynamics
7
Rating
8
Flocking
9
Swarming
10
Synchronization
11
The role communication kernels
12
Communication kernels (-) - where do they come from
13
Models of collective dynamics
14
Anticipation breeds alignment
15
Collective dynamics — the 3 Zone model
16
3Zone protocol: on the role of alignment
17
Questions about alignment dynamics
18
Large time behavior and connectivity of graph dynamics
19
Emergent behavior — instability
20
Large crowd dynamics N
21
Hydrodynamic description
22
Energy fluctuations
23
Hydrodynamic Alignment
24
Short range interactions - topological kernels
25
Collective dynamics — different questions arise in different fields
26
Collective dynamics - different questions and tools arise in different fields Biology - The role of empirical data
Description:
Explore a comprehensive lecture on emergent behavior in collective dynamics, delivered by Eitan Tadmor at the 2022 Virtual Joint Mathematics Meetings. Delve into various examples of emergence involving living agents and collective dynamics, covering fundamental concepts such as alignment, opinion dynamics, flocking, swarming, and synchronization. Examine the role of communication kernels, anticipation in alignment, and the 3 Zone model. Investigate questions about alignment dynamics, large-time behavior, and graph connectivity. Analyze emergent behavior instability, large crowd dynamics, hydrodynamic descriptions, and energy fluctuations. Discover the implications of short-range interactions and topological kernels. Gain insights into how different fields approach collective dynamics, with a focus on the role of empirical data in biology.

Emergent Behavior in Collective Dynamics

Joint Mathematics Meetings
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