Topics
Modern Applications of Random Permutations
Random permutations are a classical topic in probability theory but are still a very yet active area of research today. On this day we will focus on the connection of spatial random permutations to statistical mechanics, especially to the Feynman-Kac representation of the dilute Bose gas and Bose-Einstein condensation, but also the convergence of random lattice permutations to the Schramm–Loewner evolution (SLE).
Random Matrices and Quantum Symmetries
These are areas of modern probability theory where the algebraic underpinnings of the theory give rise to new mathematical tools and probabilistic ideas. On this day, we will discuss recent progress in non-commutative probability and bring the audience more familiar with the classical probability up to speed on some of the essential ideas of this rapidly developing area.
Applications of Probability in Statistical Learning Theory
This research area lies at the intersection of probability theory, statistics and computer science. The focus of this day will be on theoretical foundations of learning theory, where the objective is to construct efficient automatic inference and decision-making algorithms with theoretical guarantees that require little to no human supervision to function as desired.
Speakers
- Volker Betz (University of Darmstadt, Germany)
- Leonid Bogachev (University of Leeds, UK)
- Catherine Donati-Martin (Laboratoire de Mathématiques de Versailles, France)
- Alain Durmus (ENS Paris-Saclay, France)
- Jennie Hansen (Heriot-Watt University, UK)
- Claus Koestler (School of Mathematical Sciences, UCC, Ireland)
- Tor Lattimore (DeepMind, London, UK)
- Nina Snaith (University of Bristol, UK)
- Henning Schomerus (Lancaster University, UK)
- Csaba Szepesvari (University of Alberta, Canada)
- Nicolas Vayatis (CMLA, École Normale Supérieure Paris-Saclay, France)
Talks by PhD students / Poster session
We have funding from the LMS for 4 UK-based PhD students to give talks at this workshop. We also plan to have a poster session. Please see the section PhD students for more information.
Schedule
Tuesday, May 22: Modern Applications of Random Permutations
10:30 - 11:00: Tea and Coffee
11:00 - 12:00: Leonid Bogachev: Liouville-type theorems for the archetypal equation with rescaling
12:00 - 13:00: Volker Betz: Spatial and non-spatial random permutations without long cycles
13:00 - 14:00: Lunch break
14:00 - 15:00: Jennie Hansen: From mappings to permutations
15:00 - 15:30: Stephen Muirhead: The band structure of spatial random permutations
15:30 - 16:00: Matthew Dickson: Large Deviation Principles for Bosonic Random Permutations
16:00 - 16:30: Tea and Coffee
Wednesday, May 23: Random Matrices and Quantum Symmetries
09:30 - 10:00: Tea and Coffee
10:00 - 11:00: Claus Koestler: Markovianity as a distributional symmetry
11:00 - 12:00: Henning Schomerus: Zero modes in random matrices - robust features against a random background
12:00 - 14:00: Lunch break
14:00 - 15:00: Nina Snaith: Random Matrix Theory here, there and everywhere
15:00 - 16:00: Catherine Donati-Martin: Deformed models in random matrix theory (RMT) and free probability
16:00 - 16:30: Tea and Coffee
18:00: Conference dinner
Thursday, May 24: Applications of Probability in Statistical Learning Theory
10:30 - 11:00: Tea and Coffee
11:00 - 12:00: Alain Durmus: The Langevin MCMC: theory and methods
12:00 - 13:00: Nicolas Vayatis: Diffusion phenomena in networks: virality, influence and control
13:00 - 14:00: Lunch break
14:00 - 15:00: Csaba Szepesvari: On Completing the Classification of Adversarial Partial Monitoring Games
15:00 - 16:00: Tor Lattimore: Learning to Rank
16:00 - 16:30: Tea and Coffee
Organisers
The local organising committee consists of Natasha Blitvic, Azadeh Khaleghi (chair), Amanda Turner and Dirk Zeindler.
Please direct any enquiries to the organisers or to probability@lancaster.ac.uk.
Equality and Diversity
For UK-based mathematicians with caring duties, the LMS has a Caring Supplementary Grant scheme which allows participants of meetings like ours to apply for help covering caring costs.