4 papers
Integrable embeddings and foliations
Gilbert Hector, Daniel Peralta-Salas
A k-submanifold L of an open n-manifold M is called weakly integrable (WI) [resp. strongly integrable (SI)] if there exists a submersion Φ:M\to R^{n-k} such that L\subset Φ^{-1}(0)…
On quantum integrability and Hamiltonians with pure point spectrum
A. Enciso, D. Peralta-Salas
We prove that any -dimensional Hamiltonian operator with pure point spectrum is completely integrable via self-adjoint first integrals. Furthermore, we establish that given any…
Can two chaotic systems give rise to order?
J. Almeida, D. Peralta-Salas, M. Romera
The recently discovered Parrondo's paradox claims that two losing games can result, under random or periodic alternation of their dynamics, in a winning game: "losing+losing=winnin…
Topological and geometrical restrictions, free-boundary problems and self-gravitating fluids
A. Pelayo, D. Peralta-Salas
Let (P1) be certain elliptic free-boundary problem on a Riemannian manifold (M,g). In this paper we study the restrictions on the topology and geometry of the fibres (the level set…