4 papers
Multiplicative chaos from random multiplicative functions
Haoran Hu, Yujin H. Kim, Xaver Kriechbaum
We construct the multiplicative chaos measures emerging from the Dirichlet series of the twisted Steinhaus multiplicative function. Our work has three main features. First, our arg…
Absolute continuity of non-Gaussian and Gaussian multiplicative chaos measures
Yujin H. Kim, Xaver Kriechbaum
In this article, we consider the multiplicative chaos measure associated to the log-correlated random Fourier series, or random wave model, with i.i.d. coefficients taken from a ge…
Tightness for branching random walk in a space-inhomogeneous random environment
Xaver Kriechbaum
We consider the maximum of branching random walk in a space-inhomogeneous random environment on . In this model the branching rate while at some location $x\in\ma…
Voting models and tightness for a family of recursion equations
Xaver Kriechbaum, Lenya Ryzhik, Ofer Zeitouni
We consider recursion equations of the form , with a non-local operator , where is a polynomial, satisfying …