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Ferromagnetic crystals and the destruction of minimal foliations

Martedi' 12 Febbraio 2013 - Bob Rink

ARGOMENTI: Seminari

Martedì 12 Febbraio 2013 alle ore 10.00 in aula 1AD100, Bob Rink (Assistant Professor in Mathematical Analysis, VU University, Amsterdam, Netherlands) terra' un seminario dal titolo "Ferromagnetic crystals and the destruction of minimal foliations".

-Abstract
A classical result of Aubry and Mather states that Hamiltonian twist maps have orbits of all rotation numbers. Analogously, one can show that certain ferromagnetic crystal models admit ground states of every possible mean lattice spacing. In this talk, I will show that these ground states generically form Cantor sets, if their mean lattice spacing is an irrational number that is easy to approximate by rational numbers. This is a joint work with Blaz Mramor.

Rif. int. A. Ponno

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