Dynamics, Geometry and Combinatorics

21 - 25 October 2019
Organisers :
  • Anders Karlsson
  • Bryna Kra
  • Omri Sarig

This workshop brings together dynamicists who use techniques from, and are motivated by, combinatorics, geometry, and number theory.  The topics cover a broad swath of dynamics, including ergodic theory, homogeneous dynamics, symbolic dynamics, Teichmuller theory, and billiards, and the aim of the workshop is to highlight the common features across these subjects.

by 25 Oct 2019

Bernoulli Lecture - The abstract structure of measure-preserving systems

24 October 2019
Organisers :
  • Tim Austin

A abstract measure-preserving system consists of a space with a discrete-time dynamics and a time-invariant probability distribution. Such systems provide the broadest setting for asking: What kinds of long-run randomness can be generated by dynamics? This is the province of ergodic theory.

The most thorough kind of answer to ...

by 24 Oct 2019

Low-dimensional and Complex Dynamics

02 - 06 December 2019
Organisers :
  • Magnus Aspenberg
  • Michael Benedicks
  • Jacek Graczyk
  • Feliks Przytycki

This conference is aimed towards both complex and real dynamics. The idea is to connect different techniques from several fi elds of mostly low-dimensional dynamics. While complex analytic maps are quite rigid in comparision to other families of maps often studied, perturbing such maps in an non-rigid way has shown to be of extreme importance ...

Bernoulli Lecture - Bifurcation and fractals in complex dynamical systems

05 December 2019
Organisers :
  • Mitsuhiro Shishikura

It has been known that simple dynamical systems can give rise to chaotic behavior, with fractal invariant sets and that in their parameter space, the bifurcation locus (where the dynamics changes) also becomes a fractal set. The self-similarity in the phase space can be explained by the dynamics itself, ...

by 29 Nov 2019

Statistics for Indirectly Measured Functional Data

30 March - 03 April 2020
Organisers :
  • Merle Behr
  • Aurore Delaigle
  • Sofia Olhede

Functional data such as space curves, images, and surfaces are seldom sensed directly; curves are often noisily and discretely sampled, images are subject to blurring and deformation, and surfaces are often obtained via indirect linear measurements. Understanding the generation of the observations then requires modelling the act of acquisition, and ...

by 17 Nov 2019

Functional Data over Multidimensional Domains

27 April - 01 May 2020
Organisers :
  • John Aston
  • Anthony Davison
  • Shahin Tavakoli

Spatio-temporal modelling central to many modern applications, but the dimensionality of the domain of such data poses both conceptual and computational statistical challenges. These are exacerbated in a nonparametric setting, where questions related to asymptotic framework and invariance assumptions arise. The areas of functional data analysis and random field analysis ...

by 30 Nov 2019

Bernoulli Lecture - Strictly and non-strictly positive definite functions on spheres - revisited

29 April 2020
Organisers :
  • Tilmann Gneiting

In classical papers, Iso Schoenberg (1938, 1942) laid the ground for the study of isotropic positive definite functions on Euclidean spaces and spheres, respectively. Subsequently, positive definite functions on Euclidean spaces have been studied extensively in spatial statistics and related fields. In contrast, positive definite functions on spheres ...

by 20 Apr 2020

Statistics for Topological and Discrete Data

25 - 29 May 2020
Organisers :
  • Kathryn Hess Bellwald
  • Sofia Olhede
  • Katharine Turner

Topological and discrete data such as trees and networks constitute strongly non-Euclidean structures, often beyond the reach of traditional statistical tools. Their analysis is often challenged by computational tractability, as natural constraints such as permutation invariance are computationally hard to implement. Still, such data can be often transposed into more ...

by 08 Dec 2019

Bernoulli Lecture - Empirical Optimal Transport: Inference, Algorithms, Applications

28 May 2020
Organisers :
  • Axel Munk

Optimal transport has a long standing history in different branches of science, originating from physics and logistics. Since its emergence as a rigorous mathematical concept in the last century it has influenced and shaped various areas within mathematics but it also has been proven to a be a remarkably rich ...

by 18 May 2020

Statistical and Computational Optimal Transport School

08 - 12 June 2020
Organisers :
  • Tomas Masak
  • Victor Panaretos

All information including the speakers and the confirmation of the school dates within the 8 to 12 June 2020 week will soon be announced.

Geometrical Statistics and Functional Data

22 - 26 June 2020
Organisers :
  • Ian Dryden
  • Simón Lunagómez
  • Victor Panaretos

Important classes of functional data, such as random measures and random operators, are intrinsically constrained and need to be represented as elements of suitable non-Euclidean spaces, such as Hilbert manifolds. The interplay between the infinite dimensionality of their variation and the non-linearity of their representation space poses novel challenges for ...

by 31 Jan 2020

Bernoulli Lecture - Professor Emmanuel Candès

25 June 2020
Organisers :
  • Emmanuel Candès


by 14 Jun 2020

Locally compact groups acting on discrete structures - Summer School

06 - 10 July 2020
Organisers :
  • Alejandra Garrido
  • Colin Reid
  • Stephan Tornier
  • George Willis
This Summer School is intended as an introduction to the main themes of the program, focusing on key topics of the subsequent workshops: automorphism groups of graphs, dynamics on totally disconnected locally compact groups and their relation to self-similar groups, local structure of totally disconnected locally compact groups, and geometry ...
by 26 Jan 2020

Self-similar and self-replicating groups

13 - 17 July 2020
Organisers :
  • Alejandra Garrido
  • Volodymyr Nekrashevych
  • Zoran Šunić

This workshop is concerned both with the structure theory of locally compact groups acting on discrete structures, and various notions of self-similarity as seen e.g. in Grigorchuk's and Sidki's groups. A crucial link between the two subjects stems from Baumgartner-Willis' tree representation theorem which associates a self-similar group acting on ...

by 02 Feb 2020

Bernoulli Lecture - Self-similar groups, Bernoulli measures and random Schrodinger operators.

14 July 2020
Organisers :
  • Rostislav Grigorchuk

I will begin by giving an introduction to self-similar groups and their role in modern mathematics. This will in particular require appearance of finite automata and automatically generated sequences, Cantor systems and minimal sushifts of the Bernoulli shift.

Then I will explain the role of Bernoulli measures in the dynamics ...

by 05 Jul 2020

Geometry, Mechanics, and Dynamics. Conference in Honor of the 70th Birthday of Tudor Ratiu

20 - 24 July 2020
Organisers :
  • François Gay-Balmaz
  • Juan-Pablo Ortega

This conference contains contributions that give an overview of the current research in geometric mechanics. This scientific subject is simultaneously close to mathematics, physics, and engineering and its general philosophy consists in taking advantage of fruitful interactions between geometry on the one hand and dynamics and mechanics on the other. ...

From local to global structure

24 - 28 August 2020
Organisers :
  • Pierre-Emmanuel Caprace
  • Michael Giudici
  • Colin Reid
  • Stephan Tornier

A powerful theme in the structure theory of locally compact groups is that ‘local’ properties of the group can have ‘global’ implications for the structure of the group. A classical example is given by Lie groups and their locally defined Lie algebras. In this workshop we explore local-to-global mechanisms for ...

by 23 Feb 2020

Bernoulli Lecture - Groups, graphs and buildings

27 August 2020
Organisers :
  • Richard Weiss


by 23 Aug 2020

Geometry and dynamics of totally disconnected locally compact groups

14 - 18 December 2020
Organisers :
  • Uri Bader
  • Pierre-Emmanuel Caprace
  • Yves Cornulier
  • Katrin Tent
  • George Willis

T.d.l.c. groups can generally be realised as groups of isometries of locally finite connected graphs, and this viewpoint brings geometry to the investigation of t.d.l.c. groups. Not only are isometry groups of trees and buildings key examples of t.d.l.c. groups, but general results about group structure are related to global ...

by 05 Apr 2020

Bernoulli Lecture - Professor Katrin Tent

17 December 2020
Organisers :
  • Katrin Tent


Linear Response: Rigorous Results and Applications

25 - 29 January 2021
Organisers :
  • Wael Bahsoun
  • Viviane Baladi
  • Stefano Galatolo
  • Nina Gantert
  • Georg Gottwald

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 ...

Spring School on Transfer Operators (Classical and Modern Techniques)

22 - 26 March 2021
Organisers :
  • Wael Bahsoun
  • Viviane Baladi

This school will provide courses from experts on several aspects of the spectrum of transfer operators. Special attention will be provided to the theory of anisotropic spaces, and to applications in geometrical or physical settings.

The target audience includes PhD students and young postdocs. We plan 3 or 4 minicourses and ...

Ruelle-Pollicott Resonances in Dynamics and in Semi-classical Analysis

12 - 16 April 2021
Organisers :
  • Viviane Baladi
  • Colin Guillarmou
  • Masato Tsujii

This conference brings together experts who study Ruelle-Pollicott resonances by using semiclassical and dynamical approaches.

Topics range from the Fried conjectures and other geometrical conjectures to various approaches to construct anisotropic spaces and strategies to obtain spectral gaps and essential spectral gaps, including the fractal uncertainty principle, and addressing non ...

Transfer Operators Beyond Smooth or Uniformly Hyperbolic Systems

07 - 11 June 2021
Organisers :
  • Viviane Baladi
  • Mark Demers
  • Sébastien Gouëzel
  • Carlangelo Liverani
  • Françoise Pène

There has recently been an explosion of results about transfer operators acting on anisotropic Banach spaces, starting with correlation decay and the analyticity properties of the Ruelle dynamical zeta function of uniformly hyperbolic maps and flows. These techniques have been extended to hyperbolic systems withsingularities, but the results there ...

by 22 Oct 2019