On the dimension of limit sets on \(\mathbb{P}(\mathbb{R}^3)\) via stationary measures: variational principles and applications

Geometric group theory (20F65) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Entropy and other invariants (28D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)