Yong Han

collaborators

3 papers

math.FA2026

The optimal hypercontractive constants for $Z_{3}$ and biased Bernoulli random variables

Jie Cao, Shilei Fan, Yong Han +2

We resolve a folklore problem of determining the optimal hypercontractive constants $r_{p, q} (Z_{3})$ for the cyclic group $Z_{3}$ for all $1 < p < q < \infty$ . More p…

math.PR2025

Microcanonical cascades and random homeomorphisms

Xinxin Chen, Yong Han, Yanqi Qiu +1

We give a complete solution to the Mandelbrot-Kahane problem for the microcanonical cascade measures by determing their exact Fourier dimensions. We also discuss the Frostman regul…

math.PR2025

Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Xinxin Chen, Yong Han, Yanqi Qiu +1

We solve a long-standing open problem of determining the Fourier dimension of the Mandelbrot canonical cascade measure (MCCM). This problem of significant interest was raised by Ma…

The optimal hypercontractive constants for Z3​ and biased Bernoulli random variables

Microcanonical cascades and random homeomorphisms

Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

The optimal hypercontractive constants for $Z_{3}$ and biased Bernoulli random variables