**Description and Aim**

The goal of the workshop is to bring together researchers
from different backgrounds to discuss fundamental properties of extrema of strongly correlated random variables and their
applications in mathematics, physics, astronomy, finance and climatology. The
workshop aims to facilitate exchange of ideas and techniques at interfaces, and
to identify common challenges.

The following topics will be covered:

(1) Extreme value and record statistics of fractional
Brownian motion.

(2) Extreme distributions in nature.

(3) Extreme value statistics and theory of random matrices
and operators.

(4) Extreme distributions on partitions.

(5) Models of stochastic growth and extreme values.

**Topic 1** deals
with functionals of extrema
of Brownian motion, Brownian excursion and Brownian meander, their
higher-dimensional analogues (like the Gaussian Free Field), 1/f noise, and
statistics of record-breaking events in sequences of time-dependent and
strongly correlated random variables. Key applications are in climatology and
financial mathematics, as well as in mesoscopic
physics.

**Topic 2** addresses
large fluctuations in natural phenomena (such as frequency of floods and
earthquakes), coming from a strongly correlated dynamics in the background. The
basic premise is that systems displaying large fluctuations are critical, in
the sense of second order phase transitions, so that universality concepts can
be used. A key application is the study of luminosities of galaxies.

**Topic 3** includes
the Bethe Ansatz in sequence matching problems and
its relation to the Tracy-Widom distribution, as well
as conditional distributions of largest eigenvalues
in different random matrix ensembles and stability criteria of dynamical
systems. A key application is the study of interfacesin
disordered systems.

**Topic 4** focusses on integer partitions in Bose condensates,
including the question how Bose-Einstein condensation manifests itself in the
statistics of the maximal cycle length. In addition, multidimensional
asymmetric ballistic deposition and statistics of multidimensional Young
tableaux are addressed. A key application is the study of stationary
probability measures on stochastic networks.

** **

**Topic 5** is
devoted to a problem of practical as well as fundamental importance: the growth
of aggregates by sequential stochastic deposition of elementary units. In the
simplest setting, sticky particles follow trajectories in space and adhere
sequentially to a growing pile. A few prominent models are: Kardar-Parisi-Zhang, Edwards-Wilkinson, Restricted Solid-on-Solid,
Eden.

Apart from 35 minute lectures, the program will also include
panel discussions in each of the 5 topics, as well as a round table on hot
topics in extreme value statistics.