Variational description of uniform Lyapunov exponents via adapted metrics on exterior products
M Anikushin - arXiv preprint arXiv:2304.05713, 2023 - arxiv.org
In this work, we provide a comprehensive study on the relation between uniform Lyapunov
exponents, Liouville trace formula and adapted metrics for cocycles in Hilbert spaces. Firstly …
exponents, Liouville trace formula and adapted metrics for cocycles in Hilbert spaces. Firstly …
A convex optimization approach to the Lyapunov exponents
C Kawan - arXiv preprint arXiv:2307.05400, 2023 - arxiv.org
The aim of this paper is to shed more light on some recent ideas about Lyapunov exponents
and clarify the formal structures behind these ideas. In particular, we show that the vector of …
and clarify the formal structures behind these ideas. In particular, we show that the vector of …
[HTML][HTML] On the recent progress in effective dimension estimates for delay equations
M Anikushin, A Romanov - Дифференциальные уравнения и …, 2024 - cyberleninka.ru
We discuss the recent progress on studying volume contraction for linear cocycles
generated by delay equations obtained by the authors. On the basis, we use adapted …
generated by delay equations obtained by the authors. On the basis, we use adapted …