# Oscillation numbers for continuous Lagrangian paths and Maslov index

@inproceedings{Elyseeva2021OscillationNF, title={Oscillation numbers for continuous Lagrangian paths and Maslov index}, author={Julia Elyseeva and Peter vSepitka and Roman vSimon Hilscher}, year={2021} }

In this paper we present the theory of oscillation numbers and dual oscillation numbers for continuous Lagrangian paths in R. Our main results include a connection of the oscillation numbers of the given Lagrangian path with the Lidskii angles of a special symplectic orthogonal matrix. We also present Sturmian type comparison and separation theorems for the difference of the oscillation numbers of two continuous Lagrangian paths. These results, as well as the definition of the oscillation… Expand

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