4 citations · 6 across the 7 of their papers we have counts for
12 papers
The structure of monotone blow-ups in symplectic toric geometry and a question of McDuff
Álvaro Pelayo, Francisco Santos
Monotone polytopes, also known as smooth reflexive polytopes, are the polytopes associated to monotone symplectic toric manifolds and Gorenstein Fano toric varieties. We first show…
The random Arnold Conjecture: a new probabilistic Conley-Zehnder Theory for symplectic maps
Álvaro Pelayo, Fraydoun Rezakhanlou
We take the first steps to develop Conley-Zehnder Theory, as conjectured by Arnold, in the world of probability. As far as we know, this paper provides the first probabilistic theo…
Symplectic invariants of semitoric systems and the inverse problem for quantum systems
Álvaro Pelayo
Simple semitoric systems were classified about ten years ago in terms of a collection of invariants, essentially given by a convex polygon with some marked points corresponding to…
Spectral limits of semiclassical commuting self-adjoint operators
Álvaro Pelayo, San Vũ Ngoc
Using an abstract notion of semiclassical quantization for self-adjoint operators, we prove that the joint spectrum of a collection of commuting semiclassical self-adjoint operator…
Symplectic actions of non-Hamiltonian type
Álvaro Pelayo
Hamiltonian symplectic actions of tori on compact symplectic manifolds have been extensively studied in the past thirty years, and a number of classifications have been achieved, f…
The affine invariant of generalized semitoric systems
Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc
A generalized semitoric system F:=(J,H): M --> R^2 on a symplectic 4-manifold is an integrable system whose essential properties are that F is a proper map, its set of regular valu…