3 papers
math.DS2026
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…
math.PR2026
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 (…
math.DS2025
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.