Remarks on the symplectic invariance of Aubry-Mather sets

Key Words : Stationary sets, Sidon sets, sets of continuity, Rajchman sets, random Fourier series, Riesz products, U C sets.. AMS classifications : 42A20, 42A55, 42C10,

Hypothesis H3 about existence of the gradient flow and its regularity and comparison properties for the case at hand fits into the classical theory of parabolic equations explained

In a modern formulation the proof makes use of shape invariance and SUSY QM arguments associated to singular Darboux-B¨ acklund Transformations (DBT) built from excited eigenstates..

Curves and abelian varieties over finite fields, distribution of the trace of matrices, equidistribution, Frobenius operator, generalized Sato-Tate conjecture, Katz-Sarnak

First, we mention that the numerical results satisfy the theoretical properties proved in [9] and in Theorem 1.3: the lack of triple points, the lack of triple points on the

The proof of the Main Theorem goes as follows: by Corollary 2.9 of [6]—with Λ there equal to the collection of all nested Pfaffian sets over R contained in [−1, 1] n , for n ∈

Theorem 1.2 — Let (G, V ) be a visible stable locally free polar representation with Cartan sub- space c and Weyl group W.. The θ-representations are always visible and polar, but

It turns out that the differential graded Poisson algebra associated to a fixed embedding of the normal bundle as a tubular neighbourhood, yields a description of the moduli space