Abstract: Scales are finite bi-Lipschitz invariants that propose a generalization of a part
of dimension theory, mostly for infinite dimensional spaces, possibly endowed with a measure.
Scales exist of different kind: Hausdorff, packing, box, quantization, local, etc. and of
different growths to describe spaces with various sizes. The comparisons between the different
kind pf scales extend classical results of dimension theory to any growth. We will use those
new tools to describe the largeness of ergodic decompositions and functional spaces; or to
study the behavior of the Wiener measure.
Scales: On the size of infinite dimensional spaces
23.02.2024 17:00 - 18:00
Organiser:
H. Bruin, R. Zweimüller
Location:
BME Budapest