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 2021-10-01 to 2025-10-01.)
ArticleCitations
Splittings of triangle Artin groups9
Homomorphisms between multidimensional constant-shape substitutions7
A graphical description of the BNS-invariants of Bestvina–Brady groups and the RAAG recognition problem7
Small-cancellation groups with and without sigma-compact Morse boundary6
Profinite subgroup accessibility and recognition of amalgamated factors6
Translation lengths in crossing and contact graphs of quasi-median graphs6
Iterated Minkowski sums, horoballs and north-south dynamics5
Totally non-congruence Veech groups5
Order-detection of slopes on the boundaries of knot manifolds5
Quotients of the curve complex4
Finite-dimensional approximations of certain amalgamated free products of groups4
Counting arcs on hyperbolic surfaces4
Building prescribed quantitative orbit equivalence with the integers4
The Ellis semigroup of bijective substitutions4
Twisted conjugacy in $\mathrm{SL}_{n}$ and $\mathrm{GL}_{n}$ over subrings of $\overline{\mathbb{F_p}}(t)$4
Unbounded domains in hierarchically hyperbolic groups4
Formal conjugacy growth in graph products I4
Kontsevich–Zorich monodromy groups of translation covers of some platonic solids4
Property FA is not a profinite property4
Extensions of invariant random orders on groups4
The $p$-colorable subgroup of Thompson’s group3
A local-global conjugacy question arising from arithmetic dynamics3
Strongly scale-invariant virtually polycyclic groups3
Virtually free groups are stable in permutations3
Hierarchical hyperbolicity of graph products3
Multiorders in amenable group actions3
Some remarks on Grothendieck pairs3
Commensurations of the outer automorphism group of a universal Coxeter group3
Train track maps on graphs of groups3
On von Neumann equivalence and group approximation properties3
Twisting cubic rabbits3
Bratteli diagrams in Borel dynamics3
Distal strongly ergodic actions3
Generation and simplicity in the airplane rearrangement group3
Periodic points of endperiodic maps3
Free metabelian groups are permutation stable3
Editors’ introduction2
A law of iterated logarithm on lamplighter diagonal products2
A quantified local-to-global principle for Morse quasigeodesics2
Cone types and spectral radius of hyperbolic triangle groups and hyperbolic tessellations2
Cohomology of hyperfinite Borel actions2
Point-pushing actions for manifolds with boundary2
On hereditarily self-similar $p$-adic analytic pro-$p$ groups2
Property (T) in density-type models of random groups2
A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature2
Connected components of the topological surgery graph of a unicellular collection2
First-order model theory and Kaplansky’s stable finiteness conjecture for surjunctive groups2
Purely pseudo-Anosov subgroups of the genus 2 handlebody group2
Divergence of finitely presented groups2
Combinations of parabolically geometrically finite groups and their geometry2
Self-similarity and limit spaces of substitution tiling semigroups2
Homology growth of polynomially growing mapping tori2
A fine property of Whitehead's algorithm2
Profinite non-rigidity of arithmetic groups2
On vanishing criteria of $L^{2}$-Betti numbers of groups2
Realizing invariant random subgroups as stabilizer distributions2
Random walks and contracting elements II: Translation length and quasi-isometric embedding2
Amenability of quadratic automaton groups2
Homological filling functions with coefficients2
Relative hyperbolicity of hyperbolic-by-cyclic groups2
Stable loops and almost transverse surfaces2
Cycles in graphs with geometric property (T)1
Curvature criterion for vanishing of group cohomology1
On the geometry of a Picard modular group1
Patterns in sets of positive density in trees and affine buildings1
The automorphism group of Rauzy diagrams1
Thurston’s asymmetric metrics for Anosov representations1
On some planar Baumslag–Solitar actions1
Silhouettes and generic properties of subgroups of the modular group1
A quantitative Selberg’s lemma1
Property $\mathrm{(NL)}$ for group actions on hyperbolic spaces (with an appendix by Alessandro Sisto)1
Tight inclusions of $C^*$-dynamical systems1
Quotients by countable normal subgroups are hyperfinite1
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces1
On dual surjunctivity and applications1
Transitivity of normal subgroups of the mapping class groups on character varieties1
On the geometry of the free factor graph for Aut$(F_{N})$1
Growth of pseudo-Anosov conjugacy classes in Teichmüller space1
Locally Roelcke precompact Polish groups1
A central limit theorem for random walks on horospherical products of Gromov hyperbolic spaces1
Integral filling volume, complexity, and integral simplicial volume of $3$-dimensional mapping tori1
There are no exotic actions of diffeomorphism groups on 1-manifolds1
Automaton groups and complete square complexes1
Minimality of the action on the universal circle of uniform foliations1
Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)1
Abstract group actions of locally compact groups on CAT(0) spaces1
Deciding if a hyperbolic group splits over a given quasiconvex subgroup1
Variational principles for finitely generated pseudogroup actions1
Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one1
Invariable generation does not pass to finite index subgroups1
Asymptotic dimension and hyperfiniteness of generic Cantor actions1
Arithmetic quotients of the automorphism group of a right-angled Artin group1
A constructive proof that many groups with non-torsion $2$-cohomology are not matricially stable1
Subsurface distances for hyperbolic 3-manifolds fibering over the circle1
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor1
Signature for piecewise continuous groups1
Linear progress in fibres1
The Polish topology of the isometry group of the infinite dimensional hyperbolic space1
Flip graphs for infinite type surfaces1
Proper proximality among various families of groups1
Corrigendum to “The Ellis semigroup of bijective substitutions”1
A property of closed geodesics on hyperbolic surfaces1
Comparison theorems for closed geodesics on negatively curved surfaces1
First-order sentences in random groups II: $\forall\exists$-sentences1
Amenability and measure of maximal entropy for semigroups of rational maps1
Entropy, ultralimits and the Poisson boundary1
Thick embeddings into the Heisenberg group and coarse wirings into groups with polynomial growth1
Long relators in groups generated by two parabolic elements1
Intersection-saturated groups without free subgroups1
Self-similar abelian groups and their centralizers1
The finiteness problem for groups generated by reset automata1
Combinatorial growth in the modular group1
On the Basilica operation1
Polynomially growing harmonic functions on connected groups1
Monadic second-order logic and the domino problem on self-similar graphs1
Hofer's metric in compact Lie groups1
Rokhlin dimension: Permanence properties and ideal separation1
Clopen type semigroups of actions on $0$-dimensional compact spaces1
Left regular representations of Garside categories II. Finiteness properties of topological full groups1
Cantor dynamics of renormalizable groups0
The boundary at infinity of the curve complex and the relative Teichmüller space0
Conjugator lengths in hierarchically hyperbolic groups0
Isometric actions on locally compact finite rank median spaces0
Isometric embeddings of surfaces for scl0
On the continuity of the growth rate on the space of Coxeter systems0
A note on an effective characterization of covers with an application to higher rank representations0
Groups elementarily equivalent to a finitely generated free metabelian group0
Currents on cusped hyperbolic surfaces and denseness property0
Hyperfiniteness of boundary actions of relatively hyperbolic groups0
Connectedness of a space of branched coverings with a periodic cycle0
The complex of cuts in a Stone space0
Equivariant dimensions of groups with operators0
Isolated circular orders of PSL(2,$\mathbb{Z}$)0
Horocycles in hyperbolic 3-manifolds with round Sierpiński limit sets0
Iterated monodromy groups of exponential maps0
On an uncountable family of graphs whose spectrum is a Cantor set0
Finiteness properties for relatives of braided Higman–Thompson groups0
Topological dynamics of groupoid actions0
A height gap in $\mathrm{GL}_{d}(\overline{\mathbb{Q}})$ and almost laws0
All actions of LERF groups on sets are sofic0
Simulations and the lamplighter group0
On the prehistory of growth of groups0
Limits of almost homogeneous spaces and their fundamental groups0
Orders and fibering0
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence0
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups0
Character varieties of a transitioning Coxeter 4-orbifold0
Contact graphs, boundaries, and a central limit theorem for $\mathrm{CAT}(0)$ cubical complexes0
Branch groups with infinite rigid kernel0
On compact extensions of tracial $W^{*}$-dynamical systems0
Finitely generated groups acting uniformly properly on hyperbolic space0
Slim curves, limit sets and spherical CR uniformisations0
Almost equivariant maps for td-groups0
Reducible suspensions of Anosov representations0
Hyperbolic quotients of projection complexes0
Stability of hyperbolic groups acting on their boundaries0
A counterexample to marked length spectrum semi-rigidity0
Coherence and one-relator products of locally indicable groups0
Group boundaries for semidirect products with $\mathbb{Z}$0
Quasi-inner automorphisms of Drinfeld modular groups0
Symbolic group varieties and dual surjunctivity0
Random walks on convergence groups0
Genericity of contracting geodesics in groups0
Commutator width in the first Grigorchuk group0
Factoring strongly irreducible group shift actions onto full shifts of lower entropy0
Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)0
Positive crossratios, barycenters, trees and applications to maximal representations0
Amenability of finite energy path and loop groups0
Groups with finitely many Busemann points0
Groups of type $FP$ via graphical small cancellation0
Compactifications of pseudofinite and pseudoamenable groups0
Minimal homeomorphisms and topological $K$-theory0
Morse subsets of injective spaces are strongly contracting0
Rough similarity of left-invariant Riemannian metrics on some Lie groups0
Out$(F_{n})$-invariant probability measures on the space of $n$-generated marked groups0
Higher-dimensional digraphs from cube complexes and their spectral theory0
Explicit generators for the stabilizers of rational points in Thompson’s group $F$0
Exponent of self-similar finite $p$-groups0
Length statistics of random multicurves on closed hyperbolic surfaces0
Latent symmetry of graphs and stretch factors in Out$(F_{r})$0
Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity0
Relatively Anosov representations via flows I: theory0
Convex co-compact groups with one-dimensional boundary faces0
Compatible pants decomposition for $\mathrm{SL}_{2}(\mathbb{C})$ representations of surface groups0
Effective finite generation for $[\mathrm{ IA}_n,\mathrm{ IA}_n]$ and the Johnson kernel0
Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity (with an appendix by Jacob Russell)0
Permanence properties of verbal products and verbal wreath products of groups0
Common transversals for coset spaces of compact groups0
Groups with presentations in EDT0L0
Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo)0
Topological models of abstract commensurators0
Non-divergence in the space of lattices0
Finding lower bounds on the growth and entropy of subshifts over countable groups0
Topological rigidity of the dynamic asymptotic dimension0
Groups with property (T) and many alternating group quotients0
Equations in acylindrically hyperbolic groups and verbal closedness0
Ergodicity of the mapping class group action on Deroin–Tholozan representations0
Substitutional subshifts and growth of groups0
Quadratic isoperimetric inequality for mapping tori of hyperbolic groups0
Some comments on piecewise-projective groups of the line0
Growth of quasi-convex subgroups in groups with a constricting element0
Non-stationary Itô–Kawada and ergodic theorems for random isometries0
Stability in a group0
Computing the twisted $L^{2}$-Euler characteristic0
Quasi-isometries for certain right-angled Coxeter groups0
Boone–Higman embeddings for contracting self-similar groups0
Corrigendum to “Morse boundaries of proper geodesic metric spaces”0
On the Bieri–Neumann–Strebel–Renz invariants of the weak commutativity construction $\mathfrak{X}(G)$0
Asymptotic property C of the wreath product $\mathbb Z \wr \mathbb Z$0
The combinatorics of Farey words and their traces0
Surface mapping class group actions on 3-manifolds0
Stabilizers of stationary actions of lattices in semisimple groups0
Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups0
Separation and relative quasiconvexity criteria for relatively geometric actions0
Globally stable cylinders for hyperbolic CAT(0) cube complexes0
Quasi-isometric classification of right-angled Artin groups II: Several infinite out cases0
Local permutation stability0
All finitely generated 3-manifold groups are Grothendieck rigid0
Groupoids decomposition, propagation and operator $K$-theory0
Conformal surface embeddings and extremal length0
Zeta functions and topology of Heisenberg cycles for linear ergodic flows0
On the spectrum of asymptotic entropies of random walks0
Inclusions of $C^*$-algebras arising from fixed-point algebras0
Amenability and profinite completions of finitely generated groups0
Two generalisations of Leighton’s theorem (with an appendix by Giles Gardam and Daniel J. Woodhouse)0
Cartan subalgebras in von Neumann algebras associated with graph product groups0
Boundary maps and reducibility for cocycles into the isometries of CAT(0)-spaces0
Torsion homology growth and cheap rebuilding of inner-amenable groups0
A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup0
Conjugacy and centralizers in groups of piecewise projective homeomorphisms0
Modular orbits on the representation spaces of compact abelian Lie groups0
Descriptive chromatic numbers of locally finite and everywhere two-ended graphs0
McDuff factors from amenable actions and dynamical alternating groups0
Systolic complexes and group presentations0
Translation-like actions by $\mathbb{Z}$, the subgroup membership problem, and Medvedev degrees of effective subshifts0
Infinite metacyclic subgroups of the mapping class group0
Characters of algebraic groups over number fields0
Algorithmic problems in groups with quadratic Dehn function0
Local mean dimension theory for sofic group actions0
$L^{p}$-cohomology for groups of isometries of Hadamard spaces0
Asymptotic representations of Hamiltonian diffeomorphisms and quantization0
Elementary subgroups of virtually free groups0
Homeomorphism groups of telescoping $2$-manifolds are strongly distorted0
Haagerup property for wreath products constructed with Thompson's groups0
The mapping class group of a nonorientable surface is quasi-isometrically embedded in the mapping class group of the orientation double cover0
On a family of unitary representations of mapping class groups0
Groups with minimal harmonic functions as small as you like (with an appendix by Nicolás Matte Bon)0
The rates of growth in an acylindrically hyperbolic group0
The branching number of intermediate growth trees0
Compressed decision problems in hyperbolic groups0
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