prof. Biasco's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT


Prof. Luca Biasco,  Universita' di Roma 3

Wednesday 22 April, 14.00-15.00, SISSA room 134

*Title:*/On the measure of invariant tori in hamiltonian systems/

*Abstract: *We discuss the measure of (Lagrangian) invariant tori in 
nearly-integrable hamiltonian systems.
It is well known in KAM theory that the measure of the complementary of 
invariant  tori (where chaotic motions possibly occur)
is smaller than \sqrt \epsilon, \epsilon being the perturbative 
parameter. A conjecture by Arnold, Kozlov and Neishtadt
claims that such measure is actually of order \epsilon. We prove that 
such conjecture holds true for ``general'' mechanical systems
(namely systems of the form: kinetic energy plus potential energy). 
Joint work with L. Chierchia.