### Statistical properties of dynamical systems: invariant measures, mixing and decay of correlations – Roberto Castorrini (Università di Pisa)

It is well known (is it?) that many dynamical systems arising from physical or chemical models exhibit what is probably…

### Combinatorics of hopping particles and positivity in Markov chains – Lauren K. Williams (Harvard University, USA)

The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be…

### Limit Theorems for a class of unbounded observables on the real line with an application to sampling the Lindelöf Hypothesis – Kasun Fernando (Centro De Giorgi – SNS)

We prove the Central Limit Theorem, first order Edgeworth expansion and Mixing Local Limit Theorem for the Birkhoff sums of a class of L^3 observables over Boolean-type transformations on the real line. The class of observables include the real…

### On reduction steps for Leopoldt’s conjecture – Fabio Ferri (Università di Exeter)

Let $p$ be a rational prime and let $L/K$ be a Galois extension of number fields with Galois group $G$. Under some hypotheses, we show that Leopoldt's conjecture at $p$ for certain proper intermediate fields of $L/K$ implies Leopoldt's conjecture at…

### Robust numerical integrators for dynamical low-rank approximation – Gianluca Ceruti (École Polytechnique Fédérale de Lausanne)

The discretization of time-dependent high-dimensional PDEs suffers from an undesired effect, the so-called curse of dimensionality: The amount of data to be stored and treated grows exponentially and exceeds standard capacity of common computational…