This event is part of Distributed Solutions to Complex Societal Problems View Details

Mean-Field Models for Interacting Agents

Description

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Interacting particle models are a powerful mathematical tool to model the behavior of large groups in economics as well as in the life and social sciences. Here, particles may correspond to agents trading certain goods, fish or birds moving collectively, or individuals exchanging ideas in social networks. Understanding the dynamics of these systems on different levels is of great importance, as it gives insights into the emergence of many complex phenomena. In this workshop we will focus on recent developments and emerging challenges in the derivation and analysis of these micro- and mean-field models. It will feature different perspectives and approaches to these challenges, by bringing together applied mathematicians working at the interfaces between statistics, social sciences and the life sciences.

Organizers

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A C
Annalisa Cesaroni Statistics, Università di Padova
Q D
Qiang Du Applied Physics and Applied Mathematics, Columbia University
B P
Benedetto Piccoli Mathematics, Rutgers University
M W
Marie-Therese Wolfram Mathematics Institute, University of Warwick

Speakers

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J C
Jose Carrillo University of Oxford
M C
Marco Cirant Università degli Studi di Padova
Q C
Quentin Cormier Princeton University
S D
Sharon Di Columbia University
S G
Susana Gomes University of Warwick
X G
Xiaoqian Gong Arizona State University
P J
Pierre-Emmanuel Jabin Pennsylvania State University
J L
Jian-Guo Liu Duke University
A M
Angelika Manhart University College London
L N
Levon Nurbekyan University of California, Los Angeles
K P
Kaiyan Peng University of California, Los Angeles
N R
Nancy Rodriguez University of Colorado Boulder
F S
Fillippo Santambrogio Universite Claude Bernard Lyon 1
A T
Andrea Tosin Politecnico di Torino
Y Y
Yao Yao Georgia Tech

Schedule

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Tuesday, November 2, 2021
Morning Session

Moderator: Benedetto Piccoli

9:30-10:15 CDT
Aggregation-diffusion equation: symmetry, uniqueness and non-uniqueness of steady states

Online Only

Speaker: Yao Yao (Georgia Tech)

10:40-11:25 CDT
A Cucker-Smale MFG of control and its variational interpretation.

Online Only

Speaker: Fillippo Santambrogio (Universite Claude Bernard Lyon 1)

11:50-12:25 CDT
The effect of local and non-local directed movement on the Allee effect

Online Only

Speaker: Nancy Rodriguez (University of Colorado Boulder)

Afternoon Session

Moderators: Qiang Du and (for the closing) Annalisa Cesaroni

14:00-14:45 CDT
Driving and Routing Games for Autonomous Vehicles on Networks – A Mean Field Game Approach

Speaker: Sharon Di (Columbia University)

15:10-15:45 CDT
Multi-agent optimal control and mean field limits with density constraints

Online Only

Speaker: Marco Cirant (Università degli Studi di Padova)

16:10-16:55 CDT
Dimension reduction techniques for mean-field models with nonlocal interactions

Online Only

Speaker: Levon Nurbekyan (University of California, Los Angeles)

Wednesday, November 3, 2021
Morning Session

Moderator: Marie Therese Wolfram

9:30-10:15 CDT
Random batch method for interacting particle systems and mean field limit

Speaker: Jian-Guo Liu (Duke University)

10:40-11:25 CDT
Consensus-Based Interacting Particle Systems and Mean-field PDEs for Optimization and Sampling

Online Only

Speaker: Jose Carrillo (University of Oxford)

11:50-12:25 CDT
Parameter estimation for pedestrian dynamics models

Online Only

Speaker: Susana Gomes (University of Warwick)

Afternoon Session

Moderator: Annalisa Cesaroni

14:00-14:45 CDT
Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles

Online Only

Speaker: Andrea Tosin (Politecnico di Torino)

15:10-15:45 CDT
Oscillations in a mean-field model of spiking neurons

Speaker: Quentin Cormier (Princeton University)

16:10-16:55 CDT
Mean-field limit of a hybrid system for multi-lane multi-class traffic

Online Only

Speaker: Xiaoqian Gong (Arizona State University)

Thursday, November 4, 2021
Morning Session

Moderators: Qiang Du and (for the closing) Annalisa Cesaroni

9:30-10:15 CDT
Mean-field limit for non-exchangeable multi-agent systems

Online Only

Speaker: Pierre-Emmanuel Jabin (Pennsylvania State University)

10:40-11:25 CDT
Aggregation without Attraction

Online Only

Speaker: Angelika Manhart (University College London)

11:40-12:15 CDT
A multilayer network model of the coevolution of the spread of a disease and competing opinions

Online Only

Speaker: Kaiyan Peng (University of California, Los Angeles)


Videos

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Aggregation-diffusion equation: symmetry, uniqueness and non-uniqueness of steady states

Yao Yao
November 2, 2021

A Cucker-Smale MFG of control and its variational interpretation.

Fillippo Santambrogio
November 2, 2021

The effect of local and non-local directed movement on the Allee effect

Nancy Rodriguez
November 2, 2021

Driving and Routing Games for Autonomous Vehicles on Networks – A Mean Field Game Approach

Sharon Di
November 2, 2021

Multi-agent optimal control and mean field limits with density constraints

Marco Cirant
November 2, 2021

Dimension reduction techniques for mean-field models with nonlocal interactions

Levon Nurbekyan
November 2, 2021

Random batch method for interacting particle systems and mean field limit

Jian-Guo Liu
November 3, 2021

Consensus-Based Interacting Particle Systems and Mean-field PDEs for Optimization and Sampling

Jose Carrillo
November 3, 2021

Parameter estimation for pedestrian dynamics models

Susana Gomes
November 3, 2021

Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles

Andrea Tosin
November 3, 2021

Oscillations in a mean-field model of spiking neurons

Quentin Cormier
November 3, 2021

Mean-field limit of a hybrid system for multi-lane multi-class traffic

Xiaoqian Gong
November 3, 2021

Mean-field limit for non-exchangeable multi-agent systems

Pierre-Emmanuel Jabin
November 4, 2021

Aggregation without Attraction

Angelika Manhart
November 4, 2021

A multilayer network model of the coevolution of the spread of a disease and competing opinions

Kaiyan Peng
November 4, 2021