50 citations · 52 across the 6 of their papers we have counts for
6 papers
The optimal hypercontractive constants for and biased Bernoulli random variables
Jie Cao, Shilei Fan, Yong Han +2
We resolve a folklore problem of determining the optimal hypercontractive constants for the cyclic group for all . More p…
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…
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…
Self-absorption of Hankel systems on monoids --a seemingly universal property
Yong Han, Yanqi Qiu, Zipeng Wang
Given any cancellative monoid , we study the Hankel system determined by its multiplication table. We prove that the Hankel system admits self-absorption property prov…
Moments of Mandelbrot cascades at critical exponents
Yong Han, Yanqi Qiu, Zipeng Wang
We obtain the asymptotic growth rate of the moments of the Mandelbrot random cascades at critical exponents. The key ingredient is a to reduction method for the moment-es…
Generating EPR beams in a cavity optomechanical system
Zhang-qi Yin, Y. J. Han
We propose a scheme to produce continuous variable entanglement between phase-quadrature amplitudes of two light modes in an optomechanical system. For proper driving power and det…