3 citations · 3 across the 8 of their papers we have counts for
8 papers
The Amplitude Dynamics of Impulsive Queues
Ruici Gao, Jamol Pender
In this paper, we analyze a multiserver Markovian queue with customer abandonment i.e. the Erlang-A queue uder a novel framework, i.e. the random impulsive differential equations (…
Lyapunov maximizing measures for balanced pairs of matrices
Rui Gao
We show that every balanced pair (see Definition 1.1) of real matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian.
Typicality of periodic optimization over an expanding circle map
Rui Gao, Weixiao Shen, Ruiqin Zhang
We study the ergodic optimization problem over a real analytic expanding circle map. We show that in both the topological and the measure-theoretical senses, a typical perfor…
Low complexity of optimizing measures over an expanding circle map
Rui Gao, Weixiao Shen
In this paper, we prove that for real analytic expanding circle maps, all optimizing measures of a real analytic potential function have zero entropy, unless the potential is cohom…
Regularity of calibrated sub-actions for circle expanding maps and Sturmian optimization
Rui Gao
In this short and elementary note, we study some ergodic optimization problems for circle expanding maps. We first make an observation that if a function is not far from being conv…
On fair entropy of the tent family
Bing Gao, Rui Gao
The notions of fair measure and fair entropy were introduced by Misiurewicz and Rodrigues recently, and discussed in detail for piecewise monotone interval maps. In particular, the…
Local stable and unstable sets for positive entropy dynamical systems
Shilin Feng, Rui Gao, Wen Huang +1
For any diffeomorphism on a smooth compact Riemannian manifold that admits an ergodic measure with positive entropy, a lower bound of the Hausdorff dimension for the local st…
Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps
Rui Gao, Weixiao Shen
We consider skew-products of quadratic maps over certain Misiurewicz-Thurston maps and study their statistical properties. We prove that, when the coupling function is a polynomial…