Groups Geometry and Dynamics

Papers
(The TQCC of Groups Geometry and Dynamics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Profinite subgroup accessibility and recognition of amalgamated factors8
Homomorphisms between multidimensional constant-shape substitutions7
Small-cancellation groups with and without sigma-compact Morse boundary7
Splittings of triangle Artin groups6
Translation lengths in crossing and contact graphs of quasi-median graphs6
Iterated Minkowski sums, horoballs and north-south dynamics5
A graphical description of the BNS-invariants of Bestvina–Brady groups and the RAAG recognition problem5
Totally non-congruence Veech groups5
Order-detection of slopes on the boundaries of knot manifolds4
Formal conjugacy growth in graph products I4
The Ellis semigroup of bijective substitutions4
Kontsevich–Zorich monodromy groups of translation covers of some platonic solids4
Quotients of the curve complex4
Fluctuations of ergodic averages for amenable group actions4
Finite-dimensional approximations of certain amalgamated free products of groups4
Building prescribed quantitative orbit equivalence with the integers4
Extensions of invariant random orders on groups4
Property FA is not a profinite property3
A local-global conjugacy question arising from arithmetic dynamics3
Bratteli diagrams in Borel dynamics3
Strongly scale-invariant virtually polycyclic groups3
Unbounded domains in hierarchically hyperbolic groups3
Twisted conjugacy in $\mathrm{SL}_{n}$ and $\mathrm{GL}_{n}$ over subrings of $\overline{\mathbb{F_p}}(t)$3
Generation and simplicity in the airplane rearrangement group3
On von Neumann equivalence and group approximation properties3
Periodic points of endperiodic maps3
Some remarks on Grothendieck pairs3
Counting arcs on hyperbolic surfaces3
Commensurations of the outer automorphism group of a universal Coxeter group3
Distal strongly ergodic actions3
Multiorders in amenable group actions3
Point-pushing actions for manifolds with boundary2
Profinite non-rigidity of arithmetic groups2
Divergence of finitely presented groups2
Realizing invariant random subgroups as stabilizer distributions2
Hierarchical hyperbolicity of graph products2
The $p$-colorable subgroup of Thompson’s group2
A quantified local-to-global principle for Morse quasigeodesics2
Purely pseudo-Anosov subgroups of the genus 2 handlebody group2
Abelian subgroups of the fundamental group of a space with no conjugate points2
On hereditarily self-similar $p$-adic analytic pro-$p$ groups2
Cohomology of hyperfinite Borel actions2
Homological filling functions with coefficients2
A fine property of Whitehead's algorithm2
On vanishing criteria of $L^{2}$-Betti numbers of groups2
Cone types and spectral radius of hyperbolic triangle groups and hyperbolic tessellations2
Amenability of quadratic automaton groups2
Train track maps on graphs of groups2
A law of iterated logarithm on lamplighter diagonal products2
A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature2
Editors’ introduction2
Homology growth of polynomially growing mapping tori2
Property (T) in density-type models of random groups2
Free metabelian groups are permutation stable2
Combinations of parabolically geometrically finite groups and their geometry2
Random walks and contracting elements II: Translation length and quasi-isometric embedding2
Twisting cubic rabbits2
Virtually free groups are stable in permutations2
First-order model theory and Kaplansky’s stable finiteness conjecture for surjunctive groups2
Self-similar abelian groups and their centralizers2
Relative hyperbolicity of hyperbolic-by-cyclic groups1
Amenability and measure of maximal entropy for semigroups of rational maps1
On dual surjunctivity and applications1
Minimality of the action on the universal circle of uniform foliations1
Integral filling volume, complexity, and integral simplicial volume of $3$-dimensional mapping tori1
Tight inclusions of $C^*$-dynamical systems1
Polynomially growing harmonic functions on connected groups1
A property of closed geodesics on hyperbolic surfaces1
Erratum to “On groups with $S^2$ Bowditch boundary”1
Corrigendum to “The Ellis semigroup of bijective substitutions”1
First-order sentences in random groups II: $\forall\exists$-sentences1
Cantor dynamics of renormalizable groups1
Automaton groups and complete square complexes1
Isometric actions on locally compact finite rank median spaces1
Entropy, ultralimits and the Poisson boundary1
Groups elementarily equivalent to a finitely generated free metabelian group1
The automorphism group of Rauzy diagrams1
Asymptotic dimension and hyperfiniteness of generic Cantor actions1
Curvature criterion for vanishing of group cohomology1
Signature for piecewise continuous groups1
On the Basilica operation1
Combinatorial growth in the modular group1
Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)1
Invariable generation does not pass to finite index subgroups1
A quantitative Selberg’s lemma1
Alternating quotients of right-angled Coxeter groups1
On some planar Baumslag–Solitar actions1
Patterns in sets of positive density in trees and affine buildings1
Cycles in graphs with geometric property (T)1
On the geometry of the free factor graph for Aut$(F_{N})$1
Linear progress in fibres1
Hofer's metric in compact Lie groups1
The combinatorics of Farey words and their traces1
Comparison theorems for closed geodesics on negatively curved surfaces1
The Polish topology of the isometry group of the infinite dimensional hyperbolic space1
On the geometry of a Picard modular group1
Transitivity of normal subgroups of the mapping class groups on character varieties1
Property $\mathrm{(NL)}$ for group actions on hyperbolic spaces (with an appendix by Alessandro Sisto)1
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor1
Intersection-saturated groups without free subgroups1
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces1
Stable loops and almost transverse surfaces1
Monadic second-order logic and the domino problem on self-similar graphs1
Rokhlin dimension: Permanence properties and ideal separation1
Arithmetic quotients of the automorphism group of a right-angled Artin group1
Abstract group actions of locally compact groups on CAT(0) spaces1
Random walks on the discrete affine group1
Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one1
Thurston’s asymmetric metrics for Anosov representations1
Deciding if a hyperbolic group splits over a given quasiconvex subgroup1
Growth of pseudo-Anosov conjugacy classes in Teichmüller space1
Proper proximality among various families of groups1
Left regular representations of Garside categories II. Finiteness properties of topological full groups1
A central limit theorem for random walks on horospherical products of Gromov hyperbolic spaces1
Locally Roelcke precompact Polish groups1
Groups with finitely many Busemann points1
A constructive proof that many groups with non-torsion $2$-cohomology are not matricially stable1
There are no exotic actions of diffeomorphism groups on 1-manifolds1
Subsurface distances for hyperbolic 3-manifolds fibering over the circle1
Clopen type semigroups of actions on $0$-dimensional compact spaces1
The finiteness problem for groups generated by reset automata1
Long relators in groups generated by two parabolic elements1
Flip graphs for infinite type surfaces1
Variational principles for finitely generated pseudogroup actions1
Self-similarity and limit spaces of substitution tiling semigroups1
Thick embeddings into the Heisenberg group and coarse wirings into groups with polynomial growth1
Quotients by countable normal subgroups are hyperfinite1
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