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. The slides as well as some pictures from the three talks can be found below.

Announcement

Following the previous eight AProC meetings [1,2,3,4,5,6,7,8], 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.

All
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.

We will present a new quantitative approach to the problem of proving
hydrodynamic limits from microscopic stochastic particle systems, namely the zero-range, the simple exclusion
and the Ginzburg-Landau process with Kawasaki dynamics, to macroscopic partial differential equations.
Our method combines a modulated Wasserstein distance estimate comparing the law of the stochastic process
to the local Gibbs measure, together with stability estimates a la Kruzhkov in weak distance and consistency
estimates exploiting the regularity of the limit solution. It is simplified as it avoids the use of
the block estimates.

This is a joint work with Clement Mouhot (University of Cambridge) and Daniel Marahrens.

In the past two decades there has been considerable progress on understanding the asymptotic fluctuations of random growing interfaces. These are often described by the Kardar-Parisi-Zhang equation, but this is a just one member of a huge universality class, and we have learned that special discretizations can have a high degree of solvability. In the long-time, large-space limit, there is a new universal fixed point with unexpected connections to classical integrable systems. The talk will be a gentle introduction to these developments.

What is the most correlated coupling between two Gaussian measures?
How can one rearrange the mass of a Gaussian measure to recover another Gaussian measure?
What is a natural notion of average for a collection of Gaussian measures?
How do these questions depend on dimension? This talk will explore these questions and their interconnections,
and briefly touch on their relevance in such diverse topics as computational linguistics, DNA mechanics,
shape theory, and quantum information.

After the last talk, there
will be another coffee break to wrap up and get yet another chance to chat and say
goodbye.

Arrangements for coffee and
refreshments will be made locally by the organizers. Lunch will be provided at
the University Cafeteria, at a cost of € 3 per person.

Angeliki Menegaki is a Chapman Fellow at Imperial College London, where she is affiliated with the Applied Mathematics and Mathematical Physics department.
She works on partial differential equations and mathematical physics. Her research interests include
in particular non-equilibrium statistical mechanics, wave kinetic theory, functional inequalities and hydrodynamical limits.

Jeremy Quastel
is a Professor at the University of Toronto. He is a specialist in probability theory, stochastic processes and partial differential equations.
His research is on the large scale behaviour of interacting particle systems and stochastic partial differential equations, recently concentrating on the Kardar-Parisi-Zhang universality class,
where he and collaborators discovered the first exact solutions of the KPZ equation,
the polymer endpoint distribution,
and, more recently the general solution of the model TASEP, and through it the fixed point of the universality class.
He was an invited session speaker at the International Congress of Mathematicians (2010), gave the Current Developments in Mathematics (2011) and St. Flour lectures (2012) and
was plenary speaker at the International Congress of Mathematical Physics (2012).
He is a Fellow of the Royal Society (2021)
and won the CRM-Fields-PIMS prize (2018) and the Jeffery-Williams Prize of the Canadian Mathematical Society (2019).

Victor Panaretos is a Full Professor of mathematical statistics at EPFL.
He works at the interface of nonparametric statistics, random processes, and stochastic geometry.
He is
an elected member of the International Statistical Institute and a Fellow of the Institute of Mathematical Statistics.
He was a recipient of a European Research Council (ERC) Starting Grant Award in 2010, and the 2019 Bernoulli Society Forum Lecturer.

There is NO registration fee and everyone interested is welcome to participate. But
we ask, for planning purposes, that you please let us know that you plan to
attend by completing the

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 hig-cost research equipment grant" (Project SCALINCS - #1034).