108 citations · 397 across the 41 of their papers we have counts for
43 papers
Growth of infinite frieze patterns of affine type
Karin Baur, Anna Felikson, Deepanshu Prasad +2
We analyse the growth coefficients of infinite frieze patterns arising from cluster algebras using cluster modular groups and cluster categories. For a fixed cluster category of af…
-tilings with translational symmetry
Veronique Bazier-Matte, Marie-Anne Bourgie, Anna Felikson +1
An -tiling is a bi-infinite matrix in which all adjacent minors are equal to . Positive integral -tilings were introduced by Assem, Reutenauer and Smith…
Punctured surfaces, quiver mutations, and quotients of Coxeter groups
Anna Felikson, Michael Shapiro, Pavel Tumarkin
In 2011, Barot and Marsh provided an explicit construction of presentation of a finite Weyl group by any quiver mutation-equivalent to an orientation of a Dynkin diagram with W…
Friezes from surfaces and Farey triangulation
Anna Felikson, Pavel Tumarkin
We provide a classification of positive integral friezes on marked bordered surfaces in the style of Conway and Coxeter. More precisely, we prove that positive integral friezes are…
Polytopal realizations of non-crystallographic associahedra
Anna Felikson, Pavel Tumarkin, Emine Yildirim
We use the folding technique to show that generalized associahedra for non-simply-laced root systems (including non-crystallographic ones) can be obtained as sections of simply-lac…
D Farey graph, lambda lengths and -tilings
Anna Felikson, Oleg Karpenkov, Khrystyna Serhiyenko +1
We explore a three-dimensional counterpart of the Farey tessellation and its relations to Penner's lambda lengths and -tilings. In particular, we prove a three-dimensional ve…