Zusammenfassung für den Vortrag am 05.06.2018 (15:15 Uhr)Oberseminar ANALYSIS - PROBABILITY
Nicola Kistler (J.W. Goethe-Universität Frankfurt)
Mean Field Spin Glasses. From Parisi to Boltzmann (?)
The Parisi theory makes astounding predictions about the large volume behavior of mean field disordered systems, such as the paradigmatic SK-model. Some of these predictions have been meanwhile rigorously confirmed, yet many most of the deep conceptual puzzles raised by the Parisi theory remain to these days unanswered, in fact: un-addressed. Even a non-rigorous (!) yet hands-on, microcanonical treatment of spin glasses within the Boltzmann-Gibbs framework is to date lacking.
/I will discuss these issues, //and //suggest through a case-study that //the /
/proper framework to address them rigorously is provided by the /
/treatment //pioneered by////Thouless-Anderson-Palmer, //and Plefka./
Joint work with David Belius (Zurich).