R. E. Schwartz

collaborators

2 papers

math.GT2026

Patterns of Geodesics, Shearing, and Anosov Representations of the Modular Group

Richard Evan Schwartz

Let $X = S L_{3} (R) / S O (3)$ . Let $D F R$ be the space of discrete faithful representations of the modular group into ${\rm Isom\/}(X)$ which map the order $2$ generator to an isometr…

math.DS2025

The Flapping Birds in the Pentagram Zoo

Richard Evan Schwartz

We study the $(k + 1, k)$ diagonal map for $k = 2, 3, 4, ...$ . We call this map $I^_{k}$ . The map $I^_{1}$ is the pentagram map and $I^_{k}$ is a generalization. $I^_{k}$ does not preserve convexi…