3 papers
math.AP2026
Failure of dimension drop for harmonic measure on Ahlfors regular flat boundaries
Yingying Cai, Cole Jeznach, Xavier Tolsa
We develop an -adic modification of the construction of David-Jeznach-Julia for compact subsets of the real line for which harmonic measure for the…
math.AP2026
Failure of dimension drop for harmonic measure on Ahlfors regular boundaries of dimension close to
Yingying Cai, Cole Jeznach, Xavier Tolsa
For every we construct a compact -Ahlfors regular set for which harmonic measure of with pole at infinity is comparable to $\m…
math.AP2026
Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries
Yingying Cai, Xavier Tolsa
We provide quantitative estimates for the dimension drop of harmonic measure. We show that for a domain where is an -Ahlfors regular compac…