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math.DS2025
Index theory for singular Lagrangian systems and Bessel-type differential operators
Xijun Hu, Alessandro Portaluri, Li Wu
The aim of the present manuscript is to develop an index theory for singular Lagrangian systems, with a particular focus on the important class of singular operators given by Besse…
math.DS2025
The fibered rotation number for ergodic symplectic cocycles and its applications: I. Gap Labelling Theorem
Xianzhe Li, Li Wu
Let be an ergodic topological dynamical system. The fibered rotation number for cocycles in , acting on $ Θ\times \mathbb{R}\mathbb…