Many physical systems display strong dependence between data points over time, which can be described as, or linked to, intermittency and slow mixing. For example internet packet data, weather and climate data, financial markets and so on can go through long periods of predictable behaviour interspersed with chaotic bursts. Moreover, certain types of data exhibit heavy tails: very large values which occur relatively often and dominate the rest of the observations. Problems of this type have long been important in probability theory and dynamical systems, but it is only recently (particularly in the dynamical setting) that there has been success in developing analytical tools to give a good description of such situations. This workshop will disseminate the most recent results, reinforcing these connections and sparking new ones, and help with identifying and plotting paths to new milestones in the area.

The core of this workshop was slow mixing. Topics based there and in related directions included:
(1) Extreme value theory for dynamical systems with heavy tails
(2) Stable laws and anomalous diffusion in slowly mixing systems
(3) Deterministic homogenisation for fast-slow systems
(4) Geodesic flows on nonpositively curved manifolds
(5) Limit theorems and mixing for infinite measure systems

The speakers represented these different topics with the required background from dynamical systems (including partially hyperbolic dynamics, billiards and geodesic flows), functional analysis, probability theory and stochastic analysis. 

Participants: 

  • Viviane Baladi (ITS-ETH Zurich & CNRS, Paris) 
  • Peter Balint (Budapest University of Technology and Economics) 
  • Dylan Bansard-Tresse (Mathematics Center of the University of Porto) 
  • Bojan Basrak (University of Zagreb) 
  • Jerome Carrand (Sorbonne Université) 
  • Ilya Chevyrev (University of Edinburgh) 
  • Raquel Couto (University of St Andrews) 
  • Ignacio del Amo (University of Exeter) 
  • Mark Demers (Fairfield University) 
  • Nicholas Fleming (University of Warwick) 
  • Jorge Freitas (Centro de Matemática da Universidade do Porto) 
  • Ana Cristina Freitas (Universidade do Porto) 
  • Sebastien Gouezel (CNRS & University of Rennes 1) 
  • Jérôme Guérizec (Université de Nantes) 
  • Mark Holland (University of Exeter) 
  • Natalia Jurga (University of St Andrews) 
  • Alexey Korepanov (LPSM, Paris) 
  • Zemer Kosloff (Hevrew University of Jerusalem) 
  • Tamara Kucherenko (The City College of New York) 
  • Andrew Larkin (Loughborough University) 
  • Yuri Lima (Universidade Federal do Ceará) 
  • Ian Melbourne (University of Warwick) 
  • Florence Merlevede (University Gustave Eiffel)
  • Matthew Nicol (University of Houston) 
  • David Parmenter (University of Warwick) 
  • Nicolò Paviato (University of Warwick) 
  • Françoise Pène (Université de Brest) 
  • Maxence Phalempin (Université de Bretagne Occidentale) 
  • Marks Ruziboev (University of Vienna) 
  • Julien Sedro (CNRS-Sorbonne Université)
  • Fanni Sélley (Leiden University) 
  • Richard Sharp (University of Warwick) 
  • Carlos Matheus Silva Santos (CNRS & Ecole Polytechnique) 
  • Terry Soo (UCL)
  • Dalia Terhesiu (Mathematical Institute, Leiden) 
  • Mike Todd (University of St Andrews) 
  • Paulo Varandas (Federal University of Bahia & CMUP – University of Porto) 
  • Christian Wolf (The City College of New York) 
  • Caroline Wormell (CNRS, Sorbonne Université) 
  • Benthen Zeegers (Leiden University)