Vetenskap & teknik
Pocket
A Power Law of Order 1/4 for Critical Mean Field Swendsen-Wang Dynamics
Yun Long • Asaf Nachmias • Weiyang Ning • Yuval Peres
1429:-
Tillfälligt slut online – klicka på "Bevaka" för att få ett mejl så fort varan går att köpa igen.
The Swendsen-Wang dynamics is a Markov chain widely used by physicists to sample from the Boltzmann-Gibbs distribution of the Ising model. Cooper, Dyer, Frieze and Rue proved that on the complete graph Kn the mixing time of the chain is at most O(n) for all non-critical temperatures. In this paper the authors show that the mixing time is Q(1) in high temperatures, Q(log n) in low temperatures and Q(n 1/4) at criticality. They also provide an upper bound of O(log n) for Swendsen-Wang dynamics for the q-state ferromagnetic Potts model on any tree of n vertices.
- Format: Pocket/Paperback
- ISBN: 9781470409104
- Språk: Engelska
- Antal sidor: 84
- Utgivningsdatum: 2014-10-30
- Förlag: American Mathematical Society