7 citations · 18 across the 8 of their papers we have counts for
8 papers
Joint moments of characteristic polynomials in the circular Jacobi ensemble and Painlevé equations
Thomas Bothner, Fei Wei
In this paper, we establish a connection between joint moments of characteristic polynomials and their derivatives in the Circular Jacobi Ensemble, a generalisation of the Circular…
Joint moments of higher order derivatives of CUE characteristic polynomials II: Structures, recursive relations, and applications
Jonathan P. Keating, Fei Wei
In a companion paper \cite{jon-fei}, we established asymptotic formulae for the joint moments of derivatives of the characteristic polynomials of CUE random matrices. The leading o…
Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae
Jonathan P. Keating, Fei Wei
We derive explicit asymptotic formulae for the joint moments of the -th and -th derivatives of the characteristic polynomials of CUE random matrices for any non-negative…
Möbius Disjointness for product flows of rigid dynamical systems and affine linear flows
Fei Wei
We obtain that Sarnak's Möbius Disjointness Conjecture holds for product flows between affine linear flows on compact abelian groups of zero topological entropy and a class of rigi…
Möbius disjointness for a class of exponential functions
Weichen Gu, Fei Wei
A vast class of exponential functions are shown to be deterministic. This class includes functions whose exponents are polynomial-like or "piece-wise" close to polynomials after di…
Anqie entropy and arithmetic compactification of natural numbers
Fei Wei
To study arithmetic structures of natural numbers, we introduce a notion of entropy of arithmetic functions, called anqie entropy. This entropy possesses some crucial properties co…
Disjointness of Möbius from asymptotically periodic functions
Fei Wei
We investigate Sarnak's Möbius Disjointness Conjecture through asymptotically periodic functions. It is shown that Sarnak's conjecture for rigid dynamical systems is equivalent to…
General divisor functions in arithmetic progressions to large moduli
Fei Wei, Boqing Xue, Yitang Zhang
We prove a result on the distribution of the general divisor functions in arithmetic progressions to smooth moduli which exceed the square root of the length.