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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
Irina Bobrova

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

BibTex

 ArXiv: 2403.18463
Preprint
2024 Repository Open Access
Samantha Fairchild and ÔAngel David Ríos Ortiz

Crossing the transcendental divide : from Schottky groups to algebraic curves

BibTex

 ArXiv: 2401.10801

MiS Preprint

 Code: mathrepo.mis.mpg.de
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

BibTex

 ArXiv: 2402.19300
Preprint
2024 Journal Open Access
Zhi Hu, Pengfei Huang and Runhong Zong

Generalized Deligne-Hitchin twistor spaces : construction and properties

BibTex

 ArXiv: 2010.06893
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

BibTex

 DOI: 10.1112/blms.12951 ArXiv: 2305.05018
Preprint
2023 Repository Open Access
Daniele Alessandrini, Sara Maloni, Nicolas Tholozan and Anna Wienhard

Fiber bundles associated with Anosov representations

BibTex

 ArXiv: 2303.10786
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

BibTex

 DOI: 10.1016/j.aim.2023.109233 ArXiv: 2201.08628

MiS Preprint
Preprint
2023 Repository Open Access
Irina Bobrova, Vladimir Retakh, Vladimir Rubtsov and Georgy Sharygin

Non-Abelian discrete Toda chains and related lattices

BibTex

 ArXiv: 2311.11124
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)

BibTex

 DOI: 10.1080/10586458.2023.2203413 ArXiv: 2211.00304

MiS Preprint

 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Subhadip Dey, Zachary Greenberg and J. Maxwell Riestenberg

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

BibTex

 ArXiv: 2304.13564
Preprint
2023 Repository Open Access
Samantha Fairchild and Jiyoung Han

Mean value theorems for the S-arithmetic primitive Siegel transforms

BibTex

 ArXiv: 2310.03459
Preprint
2023 Repository Open Access
Pengfei Huang and Hao Sun

Moduli spaces of filtered G-local systems on curves

BibTex

 ArXiv: 2304.09999
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

BibTex

 DOI: 10.1017/fms.2023.100 ArXiv: 2212.11106
Preprint
2023 Repository Open Access
Filippo Mazzoli and Gabriele Viaggi

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

BibTex

 ArXiv: 2312.17137
Preprint
2022 Repository Open Access
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero and Elima Shehu

Average degree of the essential variety

BibTex

 ArXiv: 2212.01596

MiS Preprint

 Code: mathrepo.mis.mpg.de
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)

BibTex

 ArXiv: 2211.14621

MiS Preprint
Preprint
2022 Repository Open Access
Jon Chaika and Samantha Fairchild

Shrinking rates of horizontal gaps for generic translation surfaces

BibTex

 ArXiv: 2207.03836

MiS Preprint

Open Access Types

Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)

Repository Open Access
• Publications on a preprint server or on a free repository (green open access)