Title: "Large deviations in unbounded dynamics"

Abstract: "Large deviation theory helps to quantify unusual behaviour 
in probabilistic and dynamical phenomenon and is important for obtaining 
other statistical limit laws. The theory is classical and well-understood 
for compact systems enjoying strong enough mixing structure but for 
non-compact ('unbounded') systems there is still work to be done especially 
when heavy-tailed behaviour is present. We exhibit new subexponential 
large deviation bounds for the countable Markov shift, which provides the 
core symbolic model for many other unbounded dynamical systems such as 
the Ehrenfest wind-tree billiard model and the accelerated 
Pomeau-Manneville system modeling intermittency in the theory of turbulent 
flows. This is based on a joint work with Andrew Ferguson and 
Thomas Jordan (Bristol)."