Discrete Sets in Geometry

Samantha Fairchild

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+49 (0) 341 - 9959 - 658

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04103 Leipzig

Publications Samantha Fairchild

Journal Articles

Jayadev S. Athreya ; Samantha Fairchild and Howard Masur: Counting pairs of saddle connections
In: Advances in mathematics, 431 (2023), 109233
Bibtex MIS-Preprint: 3/2022 DOI: 10.1016/j.aim.2023.109233 ARXIV: https://arxiv.org/abs/2201.08628
Repository Open Access

Türkü Özlüm Celik ; Samantha Fairchild and Yelena Mandelshtam: Crossing the transcendental divide : from translation surfaces to algebraic curves
In: Experimental mathematics, Vol. not yet known, pp. not yet known
Bibtex MIS-Preprint: 34/2022 DOI: 10.1080/10586458.2023.2203413 ARXIV: https://arxiv.org/abs/2211.00304 CODE: https://mathrepo.mis.mpg.de/Tsurfaces2Acurves
Repository Open Access

Samantha Fairchild: A higher moment formula for the Siegel-Veech transform over quotients by Hecke triangle groups
In: Groups, geometry, and dynamics, 15 (2021) 1, p. 57-81
Bibtex DOI: 10.4171/GGD/591 ARXIV: https://arxiv.org/abs/1901.10115
Journal Open Access

Max Goering ; Samantha Fairchild and Christian Weiß: Families of well approximable measures
In: Uniform distribution theory, 16 (2021) 1, p. 53-70
Bibtex DOI: 10.2478/udt-2021-0003 ARXIV: https://arxiv.org/abs/2003.13122
Journal Open Access


Paul Breiding ; Samantha Fairchild ; Pierpaola Santarsiero and Elima Shehu: Average degree of the essential variety
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 MIS-Preprint: 35/2022 ARXIV: https://arxiv.org/abs/2211.14621
Repository Open Access

Jon Chaika and Samantha Fairchild: Shrinking rates of horizontal gaps for generic translation surfaces
Repository Open Access

Samantha Fairchild ; Ilse Haim ; Rafael G. Setra ; Robert S. Strichartz and Travis Westura: The Abelian sandpile model on fractal graphs
Repository Open Access

Aaron Calderon ; Samantha Fairchild ; Michael Muir ; Viorel Nitica and Samuel Simon: Rigid tilings of quadrants by \(L\)-shaped \(n\)-ominoes and notched rectangles
Repository Open Access

Academic Theses

Samantha Fairchild: Counting social interactions for discrete subsets of the plane
25.09.2023, 05:45