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Geometry, Groups, and Dynamics - Publications

Explore the scholarly works of the "Geometry, Groups and Dynamics" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.


Preprint
2024 Repository Open Access
Jonas Beyrer, Olivier Guichard, François Labourie, Beatrice Pozzetti and Anna Wienhard

Positivity, cross-ratios and the Collar Lemma

Preprint
2024 Repository Open Access
Martin Daniel Bobb and James Farre

Affine laminations and coaffine representations

Preprint
2024 Repository Open Access
Irina Bobrova

Affine Weyl groups and non-Abelian discrete systems: an application to the d-Painlevé equations

inJournal
2024 Journal Open Access
Irina Bobrova, Vladimir Retakh, Vladimir Rubtsov and Georgy Sharygin

Non-Abelian discrete Toda chains and related lattices

In: Physica / D, 464 (2024), p. 134200
inJournal
2024 Journal Open Access
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero and Elima Shehu

Average degree of the essential variety

In: La matematica, 3 (2024) 2, pp. 753-776
Preprint
2024 Repository Open Access
Aaron Calderon and James Farre

Continuity of the orthogeodesic foliation and ergodic theory of the earthquake flow

Preprint
2024 Repository Open Access
Aaron Calderon and James Farre

On Mirzakhani's twist torus conjecture

inJournal
2024 Journal Open Access
Wojciech Chachólski, Andrea Guidolin, Isaac Ren, Martina Scolamiero and Francesca Tombari

Koszul complexes and relative homological algebra of functors over posets

In: Foundations of computational mathematics, (2024)
Preprint
2024 Repository Open Access
Chris Connell, Mitul Islam, Thang Nguyen and Ralf Spatzier

Rigidity of compact rank one symmetric spaces

inJournal
2024 Repository Open Access
Subhadip Dey, Zachary Greenberg and J. Maxwell Riestenberg

Restrictions on Anosov subgroups of \(Sp(2n,\mathbb{R})\)

In: Transactions of the American Mathematical Society, (2024)
inJournal
2024 Repository Open Access
Sami Douba and Konstantinos Tsouvalas

Anosov groups that are indiscrete in rank one

In: International mathematics research notices, 2024 (2024) 10, pp. 8377-8383
Preprint
2024 Repository Open Access
Samantha Fairchild and Ángel David Ríos Ortiz

Crossing the transcendental divide : from Schottky groups to algebraic curves

Preprint
2024 Repository Open Access
Elisha Falbel and Martin Mion-Mouton

Geometric surgeries of three-dimensional flag structures and non-uniformizable examples

Preprint
2024 Repository Open Access
Elisha Falbel, Martin Mion-Mouton and Jose M. Veloso

Reductions of path structures and classification of homogeneous structures in dimension three

Preprint
2024 Repository Open Access
James Farre, Beatrice Pozzetti and Gabriele Viaggi

Topological and geometric restrictions on hyperconvex representations

Preprint
2024 Repository Open Access
Zachary Greenberg, Dani Kaufman and Anna Wienhard

\(\mathrm{SL}_2\)-like properties of matrices over noncommutative rings and generalizations of Markov numbers

Preprint
2024 Repository Open Access
Pengfei Huang and Hao Sun

Filtered Stokes G-local systems in nonabelian Hodge theory on curves

inJournal
2024 Journal Open Access
Zhi Hu, Pengfei Huang and Runhong Zong

Generalized Deligne-Hitchin twistor spaces : construction and properties

In: Bulletin des sciences mathématiques, 191 (2024), p. 103396
Preprint
2024 Repository Open Access
Mitul Islam and Theodore Weisman

Morse properties in convex projective geometry

inJournal
2024 Repository Open Access
Beatrice Pozzetti and Konstantinos Tsouvalas

On projective Anosov subgroups of symplectic groups

In: The bulletin of the London Mathematical Society, 56 (2024) 2, pp. 581-588
inJournal
2024 Journal Open Access
Jiajun Shi

The Liouville current of holomorphic quadratic differential metrics

In: Geometriae dedicata, 218 (2024) 3, p. 79
Preprint
2024 Repository Open Access
Konstantinos Tsouvalas

Robust quasi-isometric embeddings inapproximable by Anosov representations

Preprint
2024 Repository Open Access
Konstantinos Tsouvalas and Feng Zhu

Topological restrictions on relatively Anosov representations

Preprint
2023 Repository Open Access
Daniele Alessandrini, Sara Maloni, Nicolas Tholozan and Anna Wienhard

Fiber bundles associated with Anosov representations

inJournal
2023 Repository Open Access
Jayadev S. Athreya, Samantha Fairchild and Howard Masur

Counting pairs of saddle connections

In: Advances in mathematics, 431 (2023), p. 109233
inJournal
2023 Repository Open Access
Türkü Özlüm Celik, Samantha Fairchild and Yelena Mandelshtam

Crossing the transcendental divide : from translation surfaces to algebraic curves

In: Experimental mathematics, (2023)
Preprint
2023 Repository Open Access
Samantha Fairchild and Jiyoung Han

Mean value theorems for the S-arithmetic primitive Siegel transforms

Preprint
2023 Repository Open Access
Pengfei Huang and Hao Sun

Moduli spaces of filtered G-local systems on curves

inJournal
2023 Journal Open Access
Filippo Mazzoli and Gabriele Viaggi

Length functions in Teichmüller and anti-de Sitter geometry

In: Forum of mathematics / Sigma, 11 (2023), e101
Preprint
2023 Repository Open Access
Filippo Mazzoli and Gabriele Viaggi

Volume, entropy, and diameter in \({\rm SO}(p,q+1)\)-higher Teichmüller spaces

Preprint
2022 Repository Open Access
Claire Burrin, Samantha Fairchild and Jon Chaika

Pairs in discrete lattice orbits with applications to Veech surfaces

(Journal of the European Mathematical Society)
Preprint
2022 Repository Open Access
Jon Chaika and Samantha Fairchild

Shrinking rates of horizontal gaps for generic translation surfaces