Ariel Yadin

The infrared bound beyond Z^d

The infrared bound in statistical physics is a powerful tool which provides
continuous phase transitions and mean-field exponents, for example. It is
usually phrased in terms of bounding the Fourier transform. this terminology
makes it unclear how to use it outside the context of Euclidean spaces.
In this talk I will discuss a different point of view, in terms of Loewner
ordering, which is relevant for general graphs.
I will present a conjecture and demonstrate how an affirmative solution to it
implies the infrared bound for a large family of graphs.

No prior knowledge is assumed.