3 papers
math.NT2026
On the graph of the dimension function of the Lagrange and Markov spectra
Carlos Matheus, Carlos Gustavo Moreira, Polina Vytnova
We study the graph of the function encoding the Hausdorff dimensions of the classical Lagrange and Markov spectra with half-infinite lines of the form . For th…
math.DS2025
The Bowen$\unicode{x2013}$Series coding and zeros of zeta functions
Mark Pollicott, Polina Vytnova
We give a discussion of the classical Bowen$\unicode{x2013}$Series coding and, in particular, its application to the study of zeta functions associated to geodesic flows and their…
math.DS2024
Hausdorff dimension of the Apollonian gasket
Polina Vytnova, Caroline Wormell
The Apollonian gasket is a well-studied circle packing. Important properties of the packing, including the distribution of the circle radii, are governed by its Hausdorff dimension…