The University of Arizona

Connected graph sums under a stability condition

Connected graph sums under a stability condition

Series: Mathematical Physics and Probability Seminar
Location: Math 402
Presenter: William Faris, University of Arizona

Equilibrium statistical mechanics requires a bound on a sum indexed by connected graphs.The standard technique is to find the bound as a sum indexed by tree graphs. This talk presents a recent result of Ueltschi for the case when the potential energy has a negative part. The only requirement is a stability condition. 

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