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 ...

Large amount of multidimensional data in the form of multilinear arrays, or tensors, arise routinely in modern applications from such diverse fields as chemometrics, genomics, physics, psychology, and signal processing among many others. At the moment, our ability to generate and acquire them has far outpaced our ability to effectively ...

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 ...

In classical papers, Isaac 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 ...

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 ...

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 ...

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 ...

Veridical data science extracts reliable and reproducible information from data, with an enriched technical language to communicate and evaluate empirical evidence in the context of human decisions and domain knowledge. Building and expanding on principles of statistics, machine learning, and the sciences, we propose the predictability, computability, and stability ...

TBA

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 ...

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 ...

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 ...

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. ...

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 ...

TBA

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 ...

TBA

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 ...

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.

• Mark Demers, Fairfield University.
• Semyon Dyatlov, University of California, Berkeley.
• Sébastien ...

TBA

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 ...

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 ...