Conformal Assoaud dimension as the critical exponent for combinatorial modulus
Speaker:
Mathav MuruganSpeaker Affiliation:
UBCSpeaker Link:
https://personal.math.ubc.ca/~mathav/December 7, 2022
Vancouver, V6T 1Z2
Canada(ESB 4133)
Abstract:
The conformal Assouad dimension is the infimum of all possible values of the Assouad dimension after a quasisymmetric change of metric. We show that the conformal Assouad dimension equals a critical exponent associated with the combinatorial modulus for any compact doubling metric space. This generalizes a similar result obtained by Carrasco Piaggio for the Ahlfors regular conformal dimension to a larger family of spaces.
Event Topic:
Event Details
December 7, 2022
3:00pm
Vancouver, , CA
V6T 1Z2