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 2021-06-01 to 2025-06-01.)
ArticleCitations
Translation lengths in crossing and contact graphs of quasi-median graphs7
Homomorphisms between multidimensional constant-shape substitutions7
Profinite subgroup accessibility and recognition of amalgamated factors6
Splittings of triangle Artin groups5
The Ellis semigroup of bijective substitutions4
Kontsevich–Zorich monodromy groups of translation covers of some platonic solids4
Quotients of the curve complex4
Small-cancellation groups with and without sigma-compact Morse boundary4
Totally non-congruence Veech groups4
Finite-dimensional approximations of certain amalgamated free products of groups4
A graphical description of the BNS-invariants of Bestvina–Brady groups and the RAAG recognition problem4
Formal conjugacy growth in graph products I4
Building prescribed quantitative orbit equivalence with the integers4
Iterated Minkowski sums, horoballs and north-south dynamics4
Order-detection of slopes on the boundaries of knot manifolds3
Property FA is not a profinite property3
Counting arcs on hyperbolic surfaces3
Generation and simplicity in the airplane rearrangement group3
Fluctuations of ergodic averages for amenable group actions3
Bratteli diagrams in Borel dynamics3
Unbounded domains in hierarchically hyperbolic groups3
Commensurations of the outer automorphism group of a universal Coxeter group3
Twisted conjugacy in $\mathrm{SL}_{n}$ and $\mathrm{GL}_{n}$ over subrings of $\overline{\mathbb{F_p}}(t)$3
Extensions of invariant random orders on groups3
A local-global conjugacy question arising from arithmetic dynamics3
Train track maps on graphs of groups2
Multiorders in amenable group actions2
Free metabelian groups are permutation stable2
Purely pseudo-Anosov subgroups of the genus 2 handlebody group2
Homological filling functions with coefficients2
Combinations of parabolically geometrically finite groups and their geometry2
Hierarchical hyperbolicity of graph products2
A quantified local-to-global principle for Morse quasigeodesics2
Periodic points of endperiodic maps2
Strongly scale-invariant virtually polycyclic groups2
On spherical unitary representations of groups of spheromorphisms of Bruhat–Tits trees2
Divergence of finitely presented groups2
Cohomology of hyperfinite Borel actions2
A law of iterated logarithm on lamplighter diagonal products2
Realizing invariant random subgroups as stabilizer distributions2
Twisting cubic rabbits2
The $p$-colorable subgroup of Thompson’s group2
Virtually free groups are stable in permutations2
On von Neumann equivalence and group approximation properties2
Random walks and contracting elements II: Translation length and quasi-isometric embedding2
Abelian subgroups of the fundamental group of a space with no conjugate points2
A fine property of Whitehead's algorithm2
On vanishing criteria of $L^{2}$-Betti numbers of groups2
A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature2
On the entropies of subshifts of finite type on countable amenable groups2
Amenability of quadratic automaton groups2
Distal strongly ergodic actions2
On dual surjunctivity and applications1
Growth of pseudo-Anosov conjugacy classes in Teichmüller space1
A central limit theorem for random walks on horospherical products of Gromov hyperbolic spaces1
Long relators in groups generated by two parabolic elements1
Alternating quotients of right-angled Coxeter groups1
Hofer's metric in compact Lie groups1
Amenability and measure of maximal entropy for semigroups of rational maps1
Entropy and finiteness of groups with acylindrical splittings1
Comparison theorems for closed geodesics on negatively curved surfaces1
Tight inclusions of $C^*$-dynamical systems1
There are no exotic actions of diffeomorphism groups on 1-manifolds1
Quotients by countable normal subgroups are hyperfinite1
Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)1
Combinatorial growth in the modular group1
Property $\mathrm{(NL)}$ for group actions on hyperbolic spaces (with an appendix by Alessandro Sisto)1
Profinite non-rigidity of arithmetic groups1
Clopen type semigroups of actions on $0$-dimensional compact spaces1
Abstract group actions of locally compact groups on CAT(0) spaces1
Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one1
Linear progress in fibres1
On some planar Baumslag–Solitar actions1
Monadic second-order logic and the domino problem on self-similar graphs1
Left regular representations of Garside categories II. Finiteness properties of topological full groups1
Invariable generation does not pass to finite index subgroups1
Iterated monodromy groups of Chebyshev-like maps on $\mathbb{C}^n$1
First-order sentences in random groups II: $\forall\exists$-sentences1
Corrigendum to “The Ellis semigroup of bijective substitutions”1
A quantitative Selberg’s lemma1
The Polish topology of the isometry group of the infinite dimensional hyperbolic space1
Self-similarity and limit spaces of substitution tiling semigroups1
Erratum to “On groups with $S^2$ Bowditch boundary”1
Relative hyperbolicity of hyperbolic-by-cyclic groups1
Curvature criterion for vanishing of group cohomology1
Homology growth of polynomially growing mapping tori1
On the geometry of a Picard modular group1
Point-pushing actions for manifolds with boundary1
Random walks on the discrete affine group1
Proper proximality among various families of groups1
The automorphism group of Rauzy diagrams1
Polynomially growing harmonic functions on connected groups1
Deciding if a hyperbolic group splits over a given quasiconvex subgroup1
Cycles in graphs with geometric property (T)1
Thurston’s asymmetric metrics for Anosov representations1
A property of closed geodesics on hyperbolic surfaces1
Patterns in sets of positive density in trees and affine buildings1
Locally Roelcke precompact Polish groups1
Minimality of the action on the universal circle of uniform foliations1
Self-similar abelian groups and their centralizers1
A constructive proof that many groups with non-torsion $2$-cohomology are not matricially stable1
Stable loops and almost transverse surfaces1
Automaton groups and complete square complexes1
Arithmetic quotients of the automorphism group of a right-angled Artin group1
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor1
On hereditarily self-similar $p$-adic analytic pro-$p$ groups1
Property (T) in density-type models of random groups1
Integral filling volume, complexity, and integral simplicial volume of $3$-dimensional mapping tori1
Rokhlin dimension: Permanence properties and ideal separation1
Quasi-local algebras and asymptotic expanders0
Signature for piecewise continuous groups0
Rough similarity of left-invariant Riemannian metrics on some Lie groups0
Iterated monodromy groups of exponential maps0
Reducible suspensions of Anosov representations0
Cocycle superrigidity for profinite actions of irreducible lattices0
Morse subsets of injective spaces are strongly contracting0
Exponent of self-similar finite $p$-groups0
Orders and fibering0
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence0
Homeomorphism groups of telescoping $2$-manifolds are strongly distorted0
Stabilizers of stationary actions of lattices in semisimple groups0
Graphs of curves and arcs quasi-isometric to big mapping class groups0
Hyperbolic geometry of shapes of convex bodies0
Contact graphs, boundaries, and a central limit theorem for $\mathrm{CAT}(0)$ cubical complexes0
Groupoids decomposition, propagation and operator $K$-theory0
Growing trees from compact subgroups0
Curtain characterization of sublinearly Morse geodesics in $\mathrm{CAT}(0)$ spaces0
Corrigendum to “Morse boundaries of proper geodesic metric spaces”0
Compactifications of pseudofinite and pseudoamenable groups0
Asymptotic property C of the wreath product $\mathbb Z \wr \mathbb Z$0
Simulations and the lamplighter group0
Symbolic group varieties and dual surjunctivity0
Translation-like actions by $\mathbb{Z}$, the subgroup membership problem, and Medvedev degrees of effective subshifts0
Torsion homology growth and cheap rebuilding of inner-amenable groups0
Stability in a group0
All finitely generated 3-manifold groups are Grothendieck rigid0
Stability of hyperbolic groups acting on their boundaries0
Narrow equidistribution and counting of closed geodesics on noncompact manifolds0
Cubulating one-relator products with torsion0
Isolated circular orders of PSL(2,$\mathbb{Z}$)0
Non-stationary Itô–Kawada and ergodic theorems for random isometries0
Groups with finitely many Busemann points0
Hyperbolic quotients of projection complexes0
Finitely generated groups acting uniformly properly on hyperbolic space0
Quasi-inner automorphisms of Drinfeld modular groups0
Subgroups of $\mathrm{PL}_{+} I$ which do not embed into Thompson’s group $F$0
$L^{p}$-cohomology for groups of isometries of Hadamard spaces0
Conformal surface embeddings and extremal length0
On the topology of the space of bi-orderings of a free group on two generators0
Asymptotic dimension and hyperfiniteness of generic Cantor actions0
Effective finite generation for $[\mathrm{ IA}_n,\mathrm{ IA}_n]$ and the Johnson kernel0
Modular orbits on the representation spaces of compact abelian Lie groups0
Computing the twisted $L^{2}$-Euler characteristic0
On commutator length in free groups0
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces0
Amenability and profinite completions of finitely generated groups0
Globally stable cylinders for hyperbolic CAT(0) cube complexes0
The rates of growth in an acylindrically hyperbolic group0
Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones0
The finiteness problem for groups generated by reset automata0
Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo)0
Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)0
Higher-dimensional digraphs from cube complexes and their spectral theory0
Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five0
Quasi-isometries for certain right-angled Coxeter groups0
Almost finiteness and homology of certain non-free actions0
A height gap in $\mathrm{GL}_{d}(\overline{\mathbb{Q}})$ and almost laws0
On the Bieri–Neumann–Strebel–Renz invariants of the weak commutativity construction $\mathfrak{X}(G)$0
Local mean dimension theory for sofic group actions0
Haagerup property for wreath products constructed with Thompson's groups0
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups0
Arbitrarily large veering triangulations with a vanishing taut polynomial0
Groups with minimal harmonic functions as small as you like (with an appendix by Nicolás Matte Bon)0
On the continuity of the growth rate on the space of Coxeter systems0
Convexity of balls in outer space0
Masur’s criterion does not hold in the Thurston metric0
On compact extensions of tracial $W^{*}$-dynamical systems0
Relatively Anosov representations via flows I: theory0
Group boundaries for semidirect products with $\mathbb{Z}$0
A description of $\operatorname{Aut}(dV_n)$ and $\operatorname{Out}(dV_n)$ using transducers0
Asymptotic representations of Hamiltonian diffeomorphisms and quantization0
Hyperfiniteness of boundary actions of relatively hyperbolic groups0
Convex co-compact groups with one-dimensional boundary faces0
On a family of unitary representations of mapping class groups0
The boundary at infinity of the curve complex and the relative Teichmüller space0
Connectedness of a space of branched coverings with a periodic cycle0
The combinatorics of Farey words and their traces0
The branching number of intermediate growth trees0
Almost commuting matrices with respect to the rank metric0
Factoring strongly irreducible group shift actions onto full shifts of lower entropy0
WWPD elements of big mapping class groups0
On the spectrum of asymptotic entropies of random walks0
Algorithmic problems in groups with quadratic Dehn function0
Isometric actions on locally compact finite rank median spaces0
Currents on cusped hyperbolic surfaces and denseness property0
Infinite metacyclic subgroups of the mapping class group0
Length statistics of random multicurves on closed hyperbolic surfaces0
Complete topological descriptions of certain Morse boundaries0
On the Basilica operation0
Conjugacy and centralizers in groups of piecewise projective homeomorphisms0
Groups of type $FP$ via graphical small cancellation0
Amenability of finite energy path and loop groups0
Descriptive chromatic numbers of locally finite and everywhere two-ended graphs0
Flip graphs for infinite type surfaces0
Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity (with an appendix by Jacob Russell)0
Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity0
Conjugator lengths in hierarchically hyperbolic groups0
Permanence properties of verbal products and verbal wreath products of groups0
Superrigidity, measure equivalence, and weak Pinsker entropy0
Surface mapping class group actions on 3-manifolds0
Cartan subalgebras in von Neumann algebras associated with graph product groups0
Minimal homeomorphisms and topological $K$-theory0
Slim curves, limit sets and spherical CR uniformisations0
Positive crossratios, barycenters, trees and applications to maximal representations0
Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups0
Cubulation of some triangle-free Artin groups0
Systolic complexes and group presentations0
Coherence and one-relator products of locally indicable groups0
On virtual indicability and property (T) for outer automorphism groups of RAAGs0
On maximal subgroups of Thompson’s group $F$0
A counterexample to marked length spectrum semi-rigidity0
Inclusions of $C^*$-algebras arising from fixed-point algebras0
Local permutation stability0
Dynamics of actions of automorphisms of discrete groups $G$ on $\mathrm{Sub}_G$ and applications to lattices in Lie groups0
Topological rigidity of the dynamic asymptotic dimension0
On an uncountable family of graphs whose spectrum is a Cantor set0
The mapping class group of a nonorientable surface is quasi-isometrically embedded in the mapping class group of the orientation double cover0
Topological dynamics of groupoid actions0
Equations in acylindrically hyperbolic groups and verbal closedness0
Almost equivariant maps for td-groups0
Commutator width in the first Grigorchuk group0
Random walks on convergence groups0
Intermediate geodesic growth in virtually nilpotent groups0
Topological models of abstract commensurators0
Separation and relative quasiconvexity criteria for relatively geometric actions0
Growth of quasi-convex subgroups in groups with a constricting element0
Finding lower bounds on the growth and entropy of subshifts over countable groups0
Cantor dynamics of renormalizable groups0
On the existence of free subsemigroups in reversible automata semigroups0
Character varieties of a transitioning Coxeter 4-orbifold0
Ergodicity of the mapping class group action on Deroin–Tholozan representations0
Subsurface distances for hyperbolic 3-manifolds fibering over the circle0
A complex Euclidean reflection group with a non-positively curved complement complex0
Properly discontinuous actions versus uniform embeddings0
Elementary subgroups of virtually free groups0
Compressed decision problems in hyperbolic groups0
Transitivity of normal subgroups of the mapping class groups on character varieties0
Finiteness properties for relatives of braided Higman–Thompson groups0
Isometric embeddings of surfaces for scl0
A note on an effective characterization of covers with an application to higher rank representations0
0.28721189498901