Bárány Balázs: Multifractal analysis of weighted Birkhoff averages

In this talk we will study the topological spectrum of weighted Birkhoff averages over aperiodic and irreducible subshifts of finite type. We show the topological entropy spectrum of weighted Birkhoff averages with monotone decreasing weights equals the spectrum of the usual Birkhoff averages. Moreover, we show that the packing spectrum of such weighted Birkhoff averages equals either the packing spectrum of the usual Birkhoff averages or it is the constant value of the dimension of the whole space depending on some properties of the weights.

Zoom link: https://zoom.us/j/93746696898?pwd=b1J2MnEwMVdDVElPUFRkYWdtVXdWdz09
Meeting ID: 937 4669 6898
Passcode: 280561