65 citations · 133 across the 43 of their papers we have counts for
52 papers
The quasi-isometry classes of Galton--Watson trees
Jayadev S. Athreya, Sascha Troscheit
We classify, up to quasi-isometry, the large-scale geometry of Galton--Watson trees for every finitely supported offspring distribution. Apart from the trivial finite diameter regi…
Heisenberg Translation Flows
Francisco Arana-Herrera, Jayadev Athreya, Giovanni Forni
We study ergodic theoretical properties of flows on circle bundles over translation surfaces that arise via prequantization, generalizing the theory of Heisenberg nilflows to base…
Linear Flows on Translation Prisms
Jayadev S. Athreya, Nicolas Bédaride, W. Patrick Hooper +1
Motivated by the study of billiards in polyhedra, we study linear flows in a family of singular flat -manifolds which we call translation prisms. Using ideas of Furstenberg and…
Complexity for billiards in regular N-gons
Jayadev Athreya, Pascal Hubert, Serge Troubetzkoy
We compute the complexity of the billiard language of the regular Euclidean -gons (and other families of rational lattice polygons), answering a question posed by Cassaigne-Hube…
Spectral decomposition and Siegel-Veech transforms for strata: The case of marked tori
Jayadev Athreya, Jean Lagacé, Martin Möller +1
Generalizing the well-known construction of Eisenstein series on the modular curves, Siegel-Veech transforms provide a natural construction of square-integrable functions on strata…
Semiclassical measures for complex hyperbolic quotients
Jayadev Athreya, Semyon Dyatlov, Nicholas Miller
We study semiclassical measures for Laplacian eigenfunctions on compact complex hyperbolic quotients. Geodesic flows on these quotients are a model case of hyperbolic dynamical sys…