2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DS2026
Unique ergodicity of branched covers of translation surfaces
Polina Baron, Elizaveta Shuvaeva
Let be a finite-area translation surface whose vertical flow is uniquely ergodic. Given a slit joining two nonsingular points of , one can form a branched cyclic cover by gl…
nlin.SI2024
The Neumann-Moser dynamical system and the Korteweg-de Vries hierarchy
Polina Baron
At the focus of the paper are applications of the well-known Moser transformation of the C. Neumann dynamical system. It yields us a new quadratic integrable dynamical system on $\…
nlin.SI2024★ 2 cited
The Mumford dynamical system and the Gelfand-Dikii recursion
Polina Baron
In his paper "The Mumford Dynamical System and Hyperelliptic Kleinian Functions" (see arXiv:2402.09218), Victor Buchstaber developed the differential-algebraic theory of the Mumfor…