PIRSA:14020151 Scientific Series Mathematical physics

DOI10.48660/14020151

Series: Colloquium

Panchenko, D. (2014). The Sherrington-Kirkpatrick model and its diluted version. Perimeter Institute. https://pirsa.org/14020151

Panchenko, Dmitry. The Sherrington-Kirkpatrick model and its diluted version. Perimeter Institute, Feb. 20, 2014, https://pirsa.org/14020151 

@misc{ pirsa_PIRSA:14020151,
  doi = {10.48660/14020151},
  url = {https://pirsa.org/14020151},
  author = {Panchenko, Dmitry},
  keywords = {Mathematical physics},
  language = {en},
  title = {The Sherrington-Kirkpatrick model and its diluted version},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {feb},
  note = {PIRSA:14020151 see, \url{https://pirsa.org}}
}

Abstract

I will talk about two types of random processes -- the classical Sherrington-Kirkpatrick (SK) model of spin glasses and its diluted version. One of the main motivations in these models is to find a formula for the maximum of the process, or the free energy, in the limit when the size of the system is getting large. The answer depends on understanding the structure of the Gibbs measure in a certain sense, and this structure is expected to be described by the so called Parisi solution in the SK model and Mézard-Parisi solution in the diluted SK model. I will explain what these are and mention some results in this direction.

Resources

Next talk

Related Talks