Loop representations for classical and quantum spin systems

by Daniel Ueltschi

Monday 8 Apr 2024, 09:00 → Friday 19 Apr 2024, 11:00 Europe/Rome

Lecturer:  
Prof. Daniel Ueltschi (University of Warwick) 
daniel AT ueltschi DOT org

 

Course description   

The tentative plan of the class includes:

1. Classical spin systems. Loop representations of Symanzik, Brydges-Froehlich-Spencer, and further extensions.
2. Quantum spin systems. Loop representations of Toth, Aizenman-Nachtergaele, and further extensions.
3. Random partitions, split-merge process, Poisson-Dirichlet distributions.
4. Conjecture: the joint distribution of loop lengths is Poisson-Dirichlet. 
    

Schedule 
All lectures will be held at the Main Lecture Hall in Viale Crispi 7 building, according to the following schedule: 

Mon   Apr 8: 9-11 
Tue    Apr 9: 9-11 
Mon  Apr 15: 9 -11 
Tue   Apr 16: 9-11