The Random Arnold Conjecture: A New Probabilistic Conley-Zehnder Theory for Symplectic Maps
Sign Up to like & getrecommendations! Published in 2025 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-024-05160-x
Abstract: Inspired by the classical Conley-Zehnder Theorem and the Arnold Conjecture in symplectic topology, we prove a number of probabilistic theorems about the existence and density of fixed points of symplectic strand diffeomorphisms in dimensions greater… read more here.
Keywords: documentclass 12pt; document; usepackage; conley zehnder ... See more keywords
An Arnold-type principle for non-smooth objects
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-022-00934-z
Abstract: In this article we study the Arnold conjecture in settings where objects under consideration are no longer smooth but only continuous. The example of a Hamiltonian homeomorphism, on any closed sym-plectic manifold of dimension greater… read more here.
Keywords: principle non; principle; arnold conjecture; type principle ... See more keywords