7.7k citations
- City University of New YorkUS288 papers
- The Graduate Center, CUNYUS113 papers
- American Museum of Natural HistoryUS71 papers
- Kirtland Air Force BaseUS50 papers
- Donostia International Physics CenterES44 papers
- U.S. Air Force Research Laboratory Space Vehicles Directorate33 papers
- Slovak Academy of SciencesSK29 papers
- California Institute of TechnologyUS24 papers
- University of New MexicoUS21 papers
- Columbia UniversityUS20 papers
- Université de MontréalCA19 papers
- University of California San DiegoUS18 papers
13 papers · 1 filter
On the Hausdorff dimension and attracting laminations for fully irreducible automorphisms of free groups
Ilya Kapovich
Motivated by a classic theorem of Birman and Series about the set of complete simple geodesics on a hyperbolic surface, we study the Hausdorff dimension of the set of endpoints in…
Quantifying separability in RAAGs via representations
Olga Kharlampovich, Alina Vdovina
We answer the question asked by Louder, McReynolds and Patel, and prove the following statement. Let L be a RAAG, H a word quasiconvex subgroup of L, then there is a finite dimensi…
Counting conjugacy classes of fully irreducibles: double exponential growth
Ilya Kapovich, Catherine Pfaff
Inspired by results of Eskin and Mirzakhani counting closed geodesics of length in the moduli space of a fixed closed surface, we consider a similar question in the $Out(F_…
Stallings graphs for quasi-convex subgroups
Olga Kharlampovich, Alexei Miasnikov, Pascal Weil
We show that one can define and effectively compute Stallings graphs for quasi-convex subgroups of automatic groups (\textit{e.g.} hyperbolic groups or right-angled Artin groups).…
SLP compression for solutions of equations with constraints in free and hyperbolic groups
Volker Diekert, Olga Kharlampovich, Atefeh Mohajeri Moghaddam
The paper is a part of an ongoing program which aims to show that the existential theory in free groups (hyperbolic groups or even toral relatively hyperbolic) is NP-complete. For…
Actions, length functions, and non-archemedian words
Olga Kharlampovich, Alexei Myasnikov, Denis Serbin
In this paper we survey recent developments in the theory of groups acting on -trees. We are trying to unify all significant methods and techniques, both classical and recently…