Seminario del 2017

Ottobre
20
2017
Matteo Levi
Equilibrium measures on trees
nell'ambito della serie: COMPLEX ANALYSIS LAB
analisi matematica
On a metric space (X,d) one can define a set function called capacity which has motivations coming from Physics and which plays a deep role in potential theory and geometric measure theory. It is well known that to any compact subset E of X can be associated a probability measure m on X, called equilibrium measure for E, such that m(E)=cap(E). These measures at present are not well understood. We will present a characterization of equilibrium measures when X is a locally finite tree of infinite depth.
organizzato da: Nicola Arcozzi

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