Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - University of Rouen Normandy

Local limit theorems, like the famous deMoivre-Laplace theorem, have inspired similar results for ergodic sums $S_nf=\sum_{0\le i<n} f\circ T^i$ in dynamical systems $T:X\to X$ and for measurable functions $f:X\to\mathbb R$.
The talk will provide exact formulations of such results and discuss applications to Fuchsian groups, continued fractions and local times for fractal Gaussian noise.