Once again, we had a wonderful colloquium! We wish to thank all the participants for making the meeting so successful, and the speakers for their great presentations. Some pictures from the three talks can be found below.
Following the previous seven AProC meetings [1,2,3,4,5,6,7], we are again organizing this year’s one-day event,
centered around three top-quality talks in probability and its interface with
other active areas of current research activity. The main aim is to bring
together all near-Athens-based researchers in probability and related areas of
mathematics and applications.
interested faculty, post-docs and students are welcome and encouraged to attend
The talks are intended for a
general (math/stat) audience and will be accessible to students without particular expertise in the specific areas of the topics
discussed. Also, there will be ample time for free interaction and discussion
among the participants.
The classical totally asymmetric simple exclusion process (TASEP) is particle system on a 1
dimensional discrete space where particles jump independently with rate 1, but only if the target
position is unoccupied. The system is totally asymmetric because all particles attempt to move in
the same direction, at all times. There many ways to visualise the system including as a series of
queues, a zombie apocalypse, or one-way traffic in a narrow highway.
In this presentation, we will look closely at a generalisation where TASEP is defined on a random
tree. This way the system is no longer one-dimensional, but the total asymmetry can be
preserved by making the particles jump away from the root of the tree. There is a number of
interesting behaviours and phase transitions that arise based on the tree geometry or on the
speed of particles as they progress down the tree. We will discuss a few of these as we go along.
This is joint work with Nina Gantert and Dominik Schmid.
Metastability is a physical phenomenon ubiquitous in first order phase transitions. A tentative of
a precise description can be traced back, at least, to Maxwell in the nineteenth century. In this
talk, we present some recent progress in the mathematical theory of this phenomenon and discuss
its relation with Donsker and Varadhan theory of Markov chains large deviations.
We establish the uniform in time stability, w.r.t. the marginals, of the Iterative Proportional
Fitting Procedure, also known as Sinkhorn algorithm, used to solve entropy-regularised Optimal
Transport problems. Our result is quantitative and stated in terms of the 1- Wasserstein metric.
As a corollary we establish a quantitative stability result for Schrödinger bridges.
This is joint work with V. de Bortoli and A. Doucet.
Nicos Georgiou is a
reader with the Department of Mathematics at the University of Sussex.
He is a probabilist working in applied probability,
hydrodynamic limits, large deviations, and Markov chains.
Claudio Landim is a Professor and Deputy Director of IMPA.
His research focuses on large scale stochastic dynamics and the dynamic fluctuation theory of stationary non-equilibrium states.
Among many awards and distinctions, we single out his membership in the Brazilian Academy of Sciences, the bronze medal of the National Centre for Scientific Research of France (CNRS),
and his invited lecture in the 2018 International Congress of Mathematicians.
George Deligiannidisis an Associate Professor of Statistics at the University of Oxford.
He works in the intersection of probability and statistics to analyse random processes and objects,
especially those arising from algorithms used in computational statistics and machine learning.
The colloquium is supported by the Hellenic Foundation for Research and Innovation (H.F.R.I.)
under the “First Call for H.F.R.I. Research Projects to support Faculty members and Researchers and
the procurement of high-cost research equipment grant” (Project SCALINCS - #1034).