Lancaster and Morecambe Bay

Lancaster Probability Days 2018

Tuesday May 22 - Thursday May 24

This meeting will bring together probabilists from across the UK and is supported by the London Mathematical Society (LMS), the Bank of England, the Bernoulli society and the department of Mathematics and Statistics at Lancaster University. It will be of particular interest to those working in the following areas: Random permutations, Random Matrices and Quantum Symmetries, and Statistical Learning Theory. Each of these topics will have one day of the meeting devoted to it, with talks from three main speakers in the afternoon. Also we have some slots for short talks by PhD students and a poster session.


Modern Applications of Random Permutations

Random permutations are classical topic in probability theory but is 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.



The registration is now open and will be closed on the 15th May 2018. Further information can be found in the section Registration.

Talks by PhD students / Poster session

We have funding from the LMS for 4 UK-based PhD students to give talks at this workshop. Also we plan to have a poster session. Please see the section PhD students for more information.


All talks will be held in the Postgraduate Statistics Centre Lecture Theatre (Room A54 in the encircled building on the campus map). Information on travelling to Lancaster University and some maps can be found in the section Travel information or here.


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
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
12:00 - 14:00: Lunch break
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
13:00 - 14:00: Lunch break
15:00 - 16:00: Tor Lattimore: Learning to Rank
16:00 - 16:30: Tea and Coffee


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

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.