- Series
- CDSNS Colloquium
- Time
- Monday, April 8, 2013 - 4:30pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Bob W. Rink – Vrije Universiteit Amsterdam
- Organizer
- Rafael de la Llave
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 joint work with Blaz Mramor.