Groups Geometry and Dynamics

Papers
(The median citation count of Groups Geometry and Dynamics is 0. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Iterated Minkowski sums, horoballs and north-south dynamics9
Splittings of triangle Artin groups9
Homomorphisms between multidimensional constant-shape substitutions8
Small-cancellation groups with and without sigma-compact Morse boundary7
Translation lengths in crossing and contact graphs of quasi-median graphs6
Arithmetic monodromy in $\mathrm{Sp}(2n)$5
Profinite subgroup accessibility and recognition of amalgamated factors5
A graphical description of the BNS-invariants of Bestvina–Brady groups and the RAAG recognition problem5
Geometric representations of the braid group on a nonorientable surface5
Kontsevich–Zorich monodromy groups of translation covers of some platonic solids5
Totally non-congruence Veech groups4
Finite-dimensional approximations of certain amalgamated free products of groups4
Twisted conjugacy in $\mathrm{SL}_{n}$ and $\mathrm{GL}_{n}$ over subrings of $\overline{\mathbb{F_p}}(t)$4
Bratteli diagrams in Borel dynamics4
Building prescribed quantitative orbit equivalence with the integers4
Order-detection of slopes on the boundaries of knot manifolds4
Property FA is not a profinite property4
Extensions of invariant random orders on groups4
Quotients of the curve complex4
Formal conjugacy growth in graph products I4
Generation and simplicity in the airplane rearrangement group4
The $p$-colorable subgroup of Thompson’s group3
Commensurations of the outer automorphism group of a universal Coxeter group3
On von Neumann equivalence and group approximation properties3
Distal strongly ergodic actions3
Twisting cubic rabbits3
Random walks and contracting elements II: Translation length and quasi-isometric embedding3
Some remarks on Grothendieck pairs3
A local-global conjugacy question arising from arithmetic dynamics3
Periodic points of endperiodic maps3
Virtually free groups are stable in permutations3
A quantified local-to-global principle for Morse quasigeodesics3
Free metabelian groups are permutation stable3
Counting arcs on hyperbolic surfaces3
Unbounded domains in hierarchically hyperbolic groups3
Strongly scale-invariant virtually polycyclic groups3
Multiorders in amenable group actions3
Amenability of quadratic automaton groups3
Train track maps on graphs of groups3
Property (T) in density-type models of random groups2
A fine property of Whitehead's algorithm2
A law of iterated logarithm on lamplighter diagonal products2
Realizing invariant random subgroups as stabilizer distributions2
First-order model theory and Kaplansky’s stable finiteness conjecture for surjunctive groups2
Stable loops and almost transverse surfaces2
On some planar Baumslag–Solitar actions2
A piecewise linear homeomorphism of the circle preserving rational points and periodic under renormalization2
A quantitative Selberg’s lemma2
Self-similarity and limit spaces of substitution tiling semigroups2
Topological sequence entropy of co-induced systems2
Arithmetic quotients of the automorphism group of a right-angled Artin group2
Point-pushing actions for manifolds with boundary2
Cone types and spectral radius of hyperbolic triangle groups and hyperbolic tessellations2
On vanishing criteria of $L^{2}$-Betti numbers of groups2
Hierarchical hyperbolicity of graph products2
On hereditarily self-similar $p$-adic analytic pro-$p$ groups2
Homology growth of polynomially growing mapping tori2
Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one2
Tight inclusions of $C^*$-dynamical systems2
Quotients by countable normal subgroups are hyperfinite2
Profinite non-rigidity of arithmetic groups2
Combinatorial growth in the modular group2
A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature2
Simplices of maximally amenable extensions in II$_{1}$ factors2
Homological filling functions with coefficients2
Combinations of parabolically geometrically finite groups and their geometry2
Connected components of the topological surgery graph of a unicellular collection2
Purely pseudo-Anosov subgroups of the genus 2 handlebody group2
Algebraically hyperbolic groups2
Invariable generation does not pass to finite index subgroups2
Deciding if a hyperbolic group splits over a given quasiconvex subgroup2
Intersection-saturated groups without free subgroups2
Self-similar abelian groups and their centralizers2
Editors’ introduction2
Relative hyperbolicity of hyperbolic-by-cyclic groups2
Automaton groups and complete square complexes1
Corrigendum to “Morse boundaries of proper geodesic metric spaces”1
Thick embeddings into the Heisenberg group and coarse wirings into groups with polynomial growth1
Random walks on convergence groups1
Variational principles for finitely generated pseudogroup actions1
Monadic second-order logic and the domino problem on self-similar graphs1
Horocycles in hyperbolic 3-manifolds with round Sierpiński limit sets1
The cogrowth inequality from Whitehead’s algorithm1
The branching number of intermediate growth trees1
The automorphism group of Rauzy diagrams1
The combinatorics of Farey words and their traces1
Counting subgroups via Mirzakhani’s curve counting1
Torsion subgroups of small cancellation groups1
Asymptotic dimension and hyperfiniteness of generic Cantor actions1
Iso-length-spectral hyperbolic surface amalgams1
Separation and relative quasiconvexity criteria for relatively geometric actions1
The finiteness problem for groups generated by reset automata1
A central limit theorem for random walks on horospherical products of Gromov hyperbolic spaces1
The twist-cofinite topology on the mapping class group of a surface1
On the geometry of the free factor graph for Aut$(F_{N})$1
Ahlfors-regular conformal dimension and energies of graph maps1
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
Proper proximality among various families of groups1
Thurston’s asymmetric metrics for Anosov representations1
Morse subsets of injective spaces are strongly contracting1
Abstract group actions of locally compact groups on CAT(0) spaces1
Quasi-isometries for certain right-angled Coxeter groups1
Growth of pseudo-Anosov conjugacy classes in Teichmüller space1
Topological rigidity of the dynamic asymptotic dimension1
Latent symmetry of graphs and stretch factors in Out$(F_{r})$1
On quasiconformal equivalence of Schottky regions1
On compact extensions of tracial $W^{*}$-dynamical systems1
Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)1
Groups with minimal harmonic functions as small as you like (with an appendix by Nicolás Matte Bon)1
Entropy, ultralimits and the Poisson boundary1
Hyperbolic quotients of projection complexes1
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces1
Long relators in groups generated by two parabolic elements1
Subsurface distances for hyperbolic 3-manifolds fibering over the circle1
The Polish topology of the isometry group of the infinite dimensional hyperbolic space1
Linear progress in fibres1
Groups elementarily equivalent to a finitely generated free metabelian group1
Integral filling volume, complexity, and integral simplicial volume of $3$-dimensional mapping tori1
Factoring strongly irreducible group shift actions onto full shifts of lower entropy1
Curvature criterion for vanishing of group cohomology1
Hofer's metric in compact Lie groups1
On the geometry of a Picard modular group1
Corrigendum to “The Ellis semigroup of bijective substitutions”1
Comparison theorems for closed geodesics on negatively curved surfaces1
Quasi-inner automorphisms of Drinfeld modular groups1
Silhouettes and generic properties of subgroups of the modular group1
Growth of quasi-convex subgroups in groups with a constricting element1
Right amenability in semigroups of formal power series1
Rokhlin dimension: Permanence properties and ideal separation1
Equations in acylindrically hyperbolic groups and verbal closedness1
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor1
Symbolic group varieties and dual surjunctivity1
Isoperiodic meromorphic forms: two simple poles1
Asymptotic representations of Hamiltonian diffeomorphisms and quantization1
On dual surjunctivity and applications1
Isometric actions on locally compact finite rank median spaces1
Flip graphs for infinite type surfaces1
Cycles in graphs with geometric property (T)1
On the Basilica operation1
A property of closed geodesics on hyperbolic surfaces1
Left regular representations of Garside categories II. Finiteness properties of topological full groups1
Signature for piecewise continuous groups1
There are no exotic actions of diffeomorphism groups on 1-manifolds1
Clopen type semigroups of actions on $0$-dimensional compact spaces1
Groups with finitely many Busemann points1
A constructive proof that many groups with non-torsion $2$-cohomology are not matricially stable1
First-order sentences in random groups II: $\forall\exists$-sentences1
Coboundary expansion and Gromov hyperbolicity1
Polynomially growing harmonic functions on connected groups1
Coherence and one-relator products of locally indicable groups0
Local permutation stability0
Constructing pseudo-Anosovs from expanding interval maps0
On the continuity of the growth rate on the space of Coxeter systems0
Finitely generated groups acting uniformly properly on hyperbolic space0
Genericity of contracting geodesics in groups0
Almost equivariant maps for td-groups0
McDuff factors from amenable actions and dynamical alternating groups0
Hyperfiniteness of boundary actions of relatively hyperbolic groups0
All finitely generated 3-manifold groups are Grothendieck rigid0
On the spectrum of asymptotic entropies of random walks0
Holomorphic curves in moduli spaces are quasi-isometrically immersed0
Torsion homology growth and cheap rebuilding of inner-amenable groups0
Systolic complexes and group presentations0
Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo)0
The boundary at infinity of the curve complex and the relative Teichmüller space0
Cocycle superrigidity for profinite actions of irreducible lattices0
Infinite metacyclic subgroups of the mapping class group0
Isometric embeddings of surfaces for scl0
Non-stationary Itô–Kawada and ergodic theorems for random isometries0
Curtain characterization of sublinearly Morse geodesics in $\mathrm{CAT}(0)$ spaces0
Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity (with an appendix by Jacob Russell)0
Effective finite generation for $[\mathrm{ IA}_n,\mathrm{ IA}_n]$ and the Johnson kernel0
Stability of hyperbolic groups acting on their boundaries0
On the growth of actions of free products0
On the prehistory of growth of groups0
Rough similarity of left-invariant Riemannian metrics on some Lie groups0
Hyperbolicity of $T$(6) cyclically presented groups0
Geometric invariants of locally compact groups: The homological perspective0
Word length versus lower central series depth for surface groups and RAAGs0
Compactifications of pseudofinite and pseudoamenable groups0
Right-angled Coxeter groups with non-planar boundary0
Equivariant dimensions of groups with operators0
Quasi-BNS invariants0
Groupoids decomposition, propagation and operator $K$-theory0
Reducible suspensions of Anosov representations0
Euclidean Artin–Tits groups are acylindrically hyperbolic0
Inclusions of $C^*$-algebras arising from fixed-point algebras0
Finding lower bounds on the growth and entropy of subshifts over countable groups0
Branch groups with infinite rigid kernel0
Stabilizers of stationary actions of lattices in semisimple groups0
The complex of cuts in a Stone space0
Boundary maps and reducibility for cocycles into the isometries of CAT(0)-spaces0
Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity0
Conjugacy and centralizers in groups of piecewise projective homeomorphisms0
Modular orbits on the representation spaces of compact abelian Lie groups0
Substitutional subshifts and growth of groups0
An equivariant Laudenbach–Poénaru theorem0
Finite conjugacy classes and split exact cochain complexes0
Ergodicity of the mapping class group action on Deroin–Tholozan representations0
Characters of algebraic groups over number fields0
Amenability and profinite completions of finitely generated groups0
Surface mapping class group actions on 3-manifolds0
Topological models of abstract commensurators0
Coarse cohomology of the complement0
Finiteness properties for relatives of braided Higman–Thompson groups0
Explicit generators for the stabilizers of rational points in Thompson’s group $F$0
Algorithmic problems in groups with quadratic Dehn function0
On maximal subgroups of Thompson’s group $F$0
Commutator width in the first Grigorchuk group0
Measured groupoids beyond equivalence relations and group actions0
On trace sets of hyperbolic surfaces and a conjecture of Sarnak and Schmutz0
Out$(F_{n})$-invariant probability measures on the space of $n$-generated marked groups0
Oscillating and nonsummable Radon–Nikodym cocycles along the forward geodesic of measure-class-preserving transformations0
Quasi-isometric classification of right-angled Artin groups II: Several infinite out cases0
The adelic closure of triangle groups0
Translation-like actions by $\mathbb{Z}$, the subgroup membership problem, and Medvedev degrees of effective subshifts0
The mapping class group of a nonorientable surface is quasi-isometrically embedded in the mapping class group of the orientation double cover0
Haagerup property for wreath products constructed with Thompson's groups0
Cartan subalgebras in von Neumann algebras associated with graph product groups0
Some comments on piecewise-projective groups of the line0
Left-invariant Riemannian distances on higher-rank Sol-type groups0
Groups with property (T) and many alternating group quotients0
Relatively Anosov representations via flows I: theory0
Iterated monodromy groups of exponential maps0
Orders and fibering0
Exponent of self-similar finite $p$-groups0
Common transversals for coset spaces of compact groups0
Contact graphs, boundaries, and a central limit theorem for $\mathrm{CAT}(0)$ cubical complexes0
A height gap in $\mathrm{GL}_{d}(\overline{\mathbb{Q}})$ and almost laws0
Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)0
Boone–Higman embeddings for contracting self-similar groups0
Corrigendum to “On compact extensions of tracial $W^{*}$-dynamical systems”0
Groups of type $FP$ via graphical small cancellation0
Group boundaries for semidirect products with $\mathbb{Z}$0
Limits of almost homogeneous spaces and their fundamental groups0
Character varieties of a transitioning Coxeter 4-orbifold0
Globally stable cylinders for hyperbolic CAT(0) cube complexes0
Connectedness of a space of branched coverings with a periodic cycle0
On $\mathbb{Z}^{d}$-odometers associated to integer matrices0
Convex co-compact groups with one-dimensional boundary faces0
Currents on cusped hyperbolic surfaces and denseness property0
Length statistics of random multicurves on closed hyperbolic surfaces0
Decomposition of a symbolic element over a countable amenable group into blocks approximating ergodic measures0
On an uncountable family of graphs whose spectrum is a Cantor set0
A pro-$p$ version of Sela’s accessibility and Poincaré duality pro-$p$ groups0
Intermediate geodesic growth in virtually nilpotent groups0
On continuous orbit equivalence rigidity for virtually cyclic group actions0
All actions of LERF groups on sets are sofic0
Conformal surface embeddings and extremal length0
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