Linear Response: Rigorous Results and Applications

25 – 29 January 2021

Part of the Semester : Dynamics, Transfer Operators, and Spectra

08:00 – 17:00
Room : GA 3 21

Organisers

Wael Bahsoun, Loughborough University
Viviane Baladi, CNRS and Sorbonne University
Stefano Galatolo, Università di Pisa
Nina Gantert, Technical University of Munich
Georg Gottwald, The University of Sydney

Download Book of Abstract

As per new sanitary recommendations, this event will take place 100% online.

Transfer operators have been used to study rare and extreme events in dynamical systems and the linear – or nonlinear – response of systems to perturbations, including applications to climate dynamics.

This conference brings together experts from both theoretical and applied aspects of these studies, also in the presence of singularities.

This project has also received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 787304).

Monday 25 January
10:00-11:00 Mark Pollicott Gibbs measures for hyperbolic attractors ( Video )
11:00-12:00 Fanni Sélley ( Slides )
Linear Response for a Family of Self-Consistent Transfer Operators ( Video )
12:00-14:00 Break
14:00-15:00 Daniel Smania Infinitesimal deformations of one-dimensional maps ( Video )
15:00-16:00 Grigoris Pavliotis Response theory and phase transitions for the thermodynamic limit of interacting identical systems ( Video )

 

Tuesday 26 January
10:00-11:00 Gary Froyland ( Slides )
Optimal linear response for stochastic dynamical systems ( Video )
11:00-12:00 Tomas Persson ( Slides )
Fractional response ( Video )
12:00-14:00 Break
14:00-15:00 Valerio Lucarini ( Slides )
Predicting Climate Change through Linear Response Operators ( Video )
15:00-16:00 Pierre Mathieu ( Slides )
Fluctuation-dissipation relations for reversible diffusions in a random environment ( Video )

 

Wednesday 27 January
10:00-11:00 Caroline Wormell ( Slides )
Linear response in high-dimensional globally coupled systems ( Video )
11:00-12:00 Julien Sedro Quenched linear response for random hyperbolic dynamics ( Video )
12:00-14:00 Break
14:00-15:00 Alessandra Faggionato ( Slides )
Linear response, Nyquist relation and complex mobility matrix in periodically driven Markov processes ( Video )

 

Thursday 28 January
10:00-11:00 David Ruelle ( Slides )
Guessing linear response for large chaotic systems ( Video )
11:00-12:00 Polina Vytnova Computing leading eigenvalues of the transfer operator: going beyond periodic points ( Video )
12:00-14:00 Break
14:00-15:00 Tatjana Tchumatchenko Dynamical response functions in neuroscience ( Video )
15:00-16:00 John Harlim ( Slides )
Parameter Estimation of SDEs with Linear Response Theory ( Video )
17:00 Bernoulli Lecture:
Towards a mathematical model of the brain
Professor Lai-Sang Young NYU
https://tube.switch.ch/videos/a54ff4de ( Part 1 )
https://tube.switch.ch/videos/7d003f4c ( Part 2 )

 

Friday 29 January
10:00-11:00 Christian Maes ( Slides )
A trajectory-based approach to response theory ( Video )
11:00-12:00 Benoît Kloeckner ( Slides )
The linear Request problem ( VIdeo )