|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Variations of the Mermin--Wagner theorem
If you have a question about this talk, please contact jrn10.
The Mermin—Wagner theorem originates from theoretical physics; in its initial form it states that two-dimensional systems of statistical mechanics do not exhibit a continuous symmertry breakdown. In modern terms, the theorem asserts that for random fields with continuous values on bi-dimensional graphs, if the conditional probabilities of the field are invariant under a continuous transformation group then the field itself is invariant under the same group. Also, for point random fields in a plane, if the conditional probabilities are invariant under space-shifts then the field itself is shift-invariant. (Most recent results in this direction belong to T Richthammer.)
The talk will focus on modifications of the above theorems covering various classes of systems in quantum statistical mechanics. No preliminary knowledge from Quantum Mechanics will be assumed.
This talk is part of the Probability series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsMachine Learning Reading Group @ CUED EED Film Series: '7-49 Up' Cambridge University First Aid Society
Other talksTitle: TBA (Dr. John J. L. Morton, University College London) Ill-posedness of truncated series models for water waves Comparing site occupancy calculations with experimental observations Vaccines 2014 Maximum finite depth waves: breaking, kinematics and particle drift (SP Wednesday Workshop) - TBC