36 citations · 170 across the 43 of their papers we have counts for
6 papers · 1 filter
Growth rates of Coxeter groups and Perron numbers
Alexander Kolpakov, Alexey Talambutsa
We define a large class of abstract Coxeter groups, that we call --spanned, and for which the word growth rate and the geodesic growth rate appear to be Perron numbers. Thi…
Kissing number in spherical space
Maria Dostert, Alexander Kolpakov
This paper investigates the behaviour of the kissing number of congruent radius spheres in , for . Such a quantity depends on the radius $r…
Kissing number in hyperbolic space
Maria Dostert, Alexander Kolpakov
This paper provides upper and lower bounds on the kissing number of congruent radius spheres in , for . For that purpose, the kissing number is repla…
A hyperbolic counterpart to Rokhlin's cobordism theorem
Michelle Chu, Alexander Kolpakov
The purpose of the present paper is to prove existence of super-exponentially many compact orientable hyperbolic arithmetic -manifolds that are geometric boundaries of compact o…
On the formulas for effective stiffnesses in a paper by Zheng Ye, Victor L. Berdichevsky and Wenbin Yu
A. A. Kolpakov, A. G. Kolpakov
A paper by Ye, Berdichevsky and Yu features a set of formulas for effective stiffnesses of corrugated plates. Without elaborating on said authors' actual approach leading to such f…
Telescopic groups and symmetries of combinatorial maps
Rémi Bottinelli, Laura Grave de Peralta, Alexander Kolpakov
In the present paper, we show that many combinatorial and topological objects, such as maps, hypermaps, three-dimensional pavings, constellations and branched coverings of the two-…