Cole Jeznach

activity

20182026

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math.AP2026

Failure of dimension drop for harmonic measure on Ahlfors regular flat boundaries

Yingying Cai, Cole Jeznach, Xavier Tolsa

We develop an $N$ -adic modification of the construction of David-Jeznach-Julia for compact subsets of the real line $R \subset C$ for which harmonic measure for the…

math.AP2026

Failure of dimension drop for harmonic measure on Ahlfors regular boundaries of dimension close to $1$

Yingying Cai, Cole Jeznach, Xavier Tolsa

For every $0 < s < 1$ we construct a compact $s$ -Ahlfors regular set $K \subset C$ for which harmonic measure of $C ∖ K$ with pole at infinity is comparable to $\m…

math.AP2026

Optimal rates of decay at infinity for solutions to Schrödinger equations

Blair Davey, Cole Jeznach

We prove rates of decay at infinity for solutions to variable-coefficient Schrödinger equations of the form $- div (A \nabla u) + W \cdot \nabla u + V u = λ u$ in cylinders, $\…

Failure of dimension drop for harmonic measure on Ahlfors regular flat boundaries

Failure of dimension drop for harmonic measure on Ahlfors regular boundaries of dimension close to 1

Optimal rates of decay at infinity for solutions to Schrödinger equations

Failure of dimension drop for harmonic measure on Ahlfors regular boundaries of dimension close to $1$