The earthquake flow and the Teichmüller horocycle flow are flows on bundles over the Riemann moduli space of a surface, and are similar in many respects to unipotent flows on homogeneous spaces of Lie groups. In analogy with results of Margulis, Dani and others in the homogeneous space setting, we prove strong nondivergence results for these flows. This extends previous work of Veech. As coroll...

In this paper we investigate inextensible flow of curves in Minkowski 3-space. Necessary and sufficient conditions for an inextensible curve flow are expressed as a partial differential equation involving the curvature and torsion. Mathematics Subject Classification: 53C44; 53A04; 53A05

We consider the conjugacy of the natural flows on one-dimensional tiling spaces presented as inverse limits. We also draw connections between geometric models and the spectral information for such flows.

The space of couplings of a given theory is the arena of interest in this article. Equipped with a metric ansatz akin to the Fisher information matrix in the space of parameters in statistics (similar metrics in physics are the Zamolodchikov metric or the O'Connor– Stephens metric) we investigate the geometry of theory space through a study of specific examples. We then look into renormalisatio...

Symmetries and differential invariants of viscid flows with viscosity depending on temperature a space curve are given. Their dependence thermodynamic states media is studied, classification