output
19932026
most citedTraining Schrödinger's cat: quantum optimal control

779 citations

Showing math.GRShow all

39 papers · 1 filter

math.GR2025

First-order theory of torsion-free Tarski monsters

Rémi Coulon, Francesco Fournier-Facio, Meng-Che "Turbo" Ho

We develop methods to control the first-order theory of groups arising as certain direct limits of torsion-free hyperbolic groups, answering several questions in the literature. We…

math.GR2025

Power quotients of surface groups and mapping class groups

Rémi Coulon, Alessandro Sisto, Henry Wilton

Let be the fundamental group of a closed, orientable, hyperbolic surface . The -power quotient, , is the quotient of by the th powers of simple closed curves…

math.GR2024

Subexponential growth and actions on one-manifolds

Sang-hyun Kim, Nicolás Matte Bon, Mikael de la Salle +1

Let be a countable group with no finitely generated subgroup of exponential growth. We show that every action of on a countable set preserving a linear (respectively, circu…

math.GR2024

On the space of subgroups of Baumslag-Solitar groups II: High transitivity

Damien Gaboriau, François Le Maître, Yves Stalder

We continue our study of the perfect kernel of the space of transitive actions of Baumslag-Solitar groups by investigating high transitivity. We show that actions of finite phenoty…

math.GR2024

Spaces Related to Virtual Artin Groups

Federica Gavazzi

This work explores the topological properties of virtual Artin groups, a recent extension of the ``virtual" concept - initially developed for braids - to all Artin groups, as intro…

math.GR2024★ 1 cited

Endomorphisms of Artin groups of type

Luis Paris, Ignat Soroko

We determine a classification of the endomorphisms of the Artin group of affine type for .