3 papers
math.PR2026
Sample Path Properties of the Fractional Wiener--Weierstrass Bridge II
Alexander Schied, Zhenyuan Zhang
Fractional Wiener--Weierstrass bridges are a class of Gaussian processes obtained by replacing trigonometric functions in the construction of classical Weierstrass functions by fra…
math.PR2026
Boundedness of discounted branching random walks via generic chaining
Zhenyuan Zhang
Consider a discrete-time supercritical discounted branching random walk, in which increments at depth are independent and identically distributed with the same law as $m^{-kH}Y…
math.PR2025
Universality and Phase Transitions in Low Moments of Secular Coefficients of Critical Holomorphic Multiplicative Chaos
Haotian Gu, Zhenyuan Zhang
We investigate the low moments of {secular coefficients} of the {critical non-Gaussian holomorphic multiplicative chaos}, i.e. coefficient…