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 2021-04-01 to 2025-04-01.)
ArticleCitations
Arbitrarily large veering triangulations with a vanishing taut polynomial7
First-order sentences in random groups II: $\forall\exists$-sentences6
On vanishing criteria of $L^{2}$-Betti numbers of groups5
Convex co-compact groups with one-dimensional boundary faces4
Cubulation of some triangle-free Artin groups4
Translation lengths in crossing and contact graphs of quasi-median graphs4
Proper proximality among various families of groups4
Hyperbolic geometry of shapes of convex bodies4
Integral filling volume, complexity, and integral simplicial volume of $3$-dimensional mapping tori4
Quasi-isometries for certain right-angled Coxeter groups4
Finding lower bounds on the growth and entropy of subshifts over countable groups4
A law of iterated logarithm on lamplighter diagonal products4
Simulations and the lamplighter group3
Morse subsets of injective spaces are strongly contracting3
Torsion homology growth and cheap rebuilding of inner-amenable groups3
Narrow equidistribution and counting of closed geodesics on noncompact manifolds3
Small-cancellation groups with and without sigma-compact Morse boundary3
Corrigendum to “Morse boundaries of proper geodesic metric spaces”3
Hofer's metric in compact Lie groups3
Growth of quasi-convex subgroups in groups with a constricting element3
Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity (with an appendix by Jacob Russell)2
The branching number of intermediate growth trees2
Combinations of parabolically geometrically finite groups and their geometry2
On a family of unitary representations of mapping class groups2
Permanence properties of verbal products and verbal wreath products of groups2
Cycles in graphs with geometric property (T)2
Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five2
Realizing invariant random subgroups as stabilizer distributions2
Homomorphisms between multidimensional constant-shape substitutions2
Property $\mathrm{(NL)}$ for group actions on hyperbolic spaces (with an appendix by Alessandro Sisto)2
The Ellis semigroup of bijective substitutions2
A property of closed geodesics on hyperbolic surfaces2
Quasi-inner automorphisms of Drinfeld modular groups2
The Polish topology of the isometry group of the infinite dimensional hyperbolic space2
Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones2
Splittings of triangle Artin groups2
Clopen type semigroups of actions on $0$-dimensional compact spaces2
A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature2
On commutator length in free groups2
A graphical description of the BNS-invariants of Bestvina–Brady groups and the RAAG recognition problem2
Random walks on convergence groups2
Locally Roelcke precompact Polish groups2
Iterated Minkowski sums, horoballs and north-south dynamics2
Profinite subgroup accessibility and recognition of amalgamated factors2
Stability of hyperbolic groups acting on their boundaries2
Quotients of the curve complex1
Property (T) in density-type models of random groups1
Asymptotic representations of Hamiltonian diffeomorphisms and quantization1
Orders and fibering1
On the existence of free subsemigroups in reversible automata semigroups1
Totally non-congruence Veech groups1
Profinite non-rigidity of arithmetic groups1
Symbolic group varieties and dual surjunctivity1
On the geometry of a Picard modular group1
Order-detection of slopes on the boundaries of knot manifolds1
Automaton groups and complete square complexes1
Hyperbolic quotients of projection complexes1
A fine property of Whitehead's algorithm1
Divergence of finitely presented groups1
Finiteness properties for relatives of braided Higman–Thompson groups1
Effective finite generation for $[\mathrm{ IA}_n,\mathrm{ IA}_n]$ and the Johnson kernel1
A height gap in $\mathrm{GL}_{d}(\overline{\mathbb{Q}})$ and almost laws1
Point-pushing actions for manifolds with boundary1
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence1
Building prescribed quantitative orbit equivalence with the integers1
Commutator width in the first Grigorchuk group1
Equations in acylindrically hyperbolic groups and verbal closedness1
Homological filling functions with coefficients1
Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)1
On compact extensions of tracial $W^{*}$-dynamical systems1
There are no exotic actions of diffeomorphism groups on 1-manifolds1
Isolated circular orders of PSL(2,$\mathbb{Z}$)1
Finite-dimensional approximations of certain amalgamated free products of groups1
Curvature criterion for vanishing of group cohomology1
Abelian subgroups of the fundamental group of a space with no conjugate points1
Comparison theorems for closed geodesics on negatively curved surfaces1
Systolic complexes and group presentations1
Homeomorphism groups of telescoping $2$-manifolds are strongly distorted1
Formal conjugacy growth in graph products I1
Topological rigidity of the dynamic asymptotic dimension1
Quasi-local algebras and asymptotic expanders1
Erratum to “On groups with $S^2$ Bowditch boundary”1
A constructive proof that many groups with non-torsion $2$-cohomology are not matricially stable1
Cubulating one-relator products with torsion1
Descriptive chromatic numbers of locally finite and everywhere two-ended graphs1
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor1
Character varieties of a transitioning Coxeter 4-orbifold1
Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo)1
Cohomology of hyperfinite Borel actions1
Kontsevich–Zorich monodromy groups of translation covers of some platonic solids1
Amenability and profinite completions of finitely generated groups1
Growing trees from compact subgroups1
Contact graphs, boundaries, and a central limit theorem for $\mathrm{CAT}(0)$ cubical complexes1
Noncommutative joinings II0
Left regular representations of Garside categories II. Finiteness properties of topological full groups0
Separation and relative quasiconvexity criteria for relatively geometric actions0
Properly discontinuous actions versus uniform embeddings0
Bratteli diagrams in Borel dynamics0
The combinatorics of Farey words and their traces0
Train track maps on graphs of groups0
Self-similar abelian groups and their centralizers0
Patterns in sets of positive density in trees and affine buildings0
Compactifications of pseudofinite and pseudoamenable groups0
Word length versus lower central series depth for surface groups and RAAGs0
Characters of algebraic groups over number fields0
A counterexample to marked length spectrum semi-rigidity0
Deciding if a hyperbolic group splits over a given quasiconvex subgroup0
$L^{p}$-cohomology for groups of isometries of Hadamard spaces0
Subgroups of $\mathrm{PL}_{+} I$ which do not embed into Thompson’s group $F$0
Slim curves, limit sets and spherical CR uniformisations0
Stabilizers of stationary actions of lattices in semisimple groups0
Monadic second-order logic and the domino problem on self-similar graphs0
On von Neumann equivalence and group approximation properties0
Amenability and measure of maximal entropy for semigroups of rational maps0
Coherence and one-relator products of locally indicable groups0
Zeta functions and topology of Heisenberg cycles for linear ergodic flows0
Non-stationary Itô–Kawada and ergodic theorems for random isometries0
Almost finiteness and homology of certain non-free actions0
Haagerup property for wreath products constructed with Thompson's groups0
Iterated monodromy groups of exponential maps0
On maximal subgroups of Thompson’s group $F$0
Periodic points of endperiodic maps0
Group boundaries for semidirect products with $\mathbb{Z}$0
Cartan subalgebras in von Neumann algebras associated with graph product groups0
Decomposition of a symbolic element over a countable amenable group into blocks approximating ergodic measures0
Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups0
Reducible suspensions of Anosov representations0
Oscillating and nonsummable Radon–Nikodym cocycles along the forward geodesic of measure-class-preserving transformations0
WWPD elements of big mapping class groups0
Ergodicity of the mapping class group action on Deroin–Tholozan representations0
Amenability of quadratic automaton groups0
Convexity of balls in outer space0
Inclusions of $C^*$-algebras arising from fixed-point algebras0
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups0
On dual surjunctivity and applications0
A pro-$p$ version of Sela’s accessibility and Poincaré duality pro-$p$ groups0
A complex Euclidean reflection group with a non-positively curved complement complex0
Translation-like actions by $\mathbb{Z}$, the subgroup membership problem, and Medvedev degrees of effective subshifts0
Self-similarity and limit spaces of substitution tiling semigroups0
Elementary subgroups of virtually free groups0
Distal strongly ergodic actions0
Counting arcs on hyperbolic surfaces0
On the Basilica operation0
The rates of growth in an acylindrically hyperbolic group0
Masur’s criterion does not hold in the Thurston metric0
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces0
From loom spaces to veering triangulations0
On some planar Baumslag–Solitar actions0
Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one0
Conjugator lengths in hierarchically hyperbolic groups0
Isometric embeddings of surfaces for scl0
Curtain characterization of sublinearly Morse geodesics in $\mathrm{CAT}(0)$ spaces0
Right-angled Coxeter groups with non-planar boundary0
Modular orbits on the representation spaces of compact abelian Lie groups0
Rough similarity of left-invariant Riemannian metrics on some Lie groups0
On spherical unitary representations of groups of spheromorphisms of Bruhat–Tits trees0
Local permutation stability0
Corrigendum to “The Ellis semigroup of bijective substitutions”0
Compressed decision problems in hyperbolic groups0
Topological models of abstract commensurators0
Subsurface distances for hyperbolic 3-manifolds fibering over the circle0
Abstract group actions of locally compact groups on CAT(0) spaces0
On hereditarily self-similar $p$-adic analytic pro-$p$ groups0
Entropy and finiteness of groups with acylindrical splittings0
Limits of almost homogeneous spaces and their fundamental groups0
Flip graphs for infinite type surfaces0
Fluctuations of ergodic averages for amenable group actions0
On the topology of the space of bi-orderings of a free group on two generators0
Cocycle superrigidity for profinite actions of irreducible lattices0
Stable loops and almost transverse surfaces0
Isometric actions on locally compact finite rank median spaces0
Virtually cyclic dimension for 3-manifold groups0
Tree approximation in quasi-trees0
Minimality of the action on the universal circle of uniform foliations0
Groups with finitely many Busemann points0
Infinite metacyclic subgroups of the mapping class group0
The boundary at infinity of the curve complex and the relative Teichmüller space0
Property FA is not a profinite property0
Algorithmic problems in groups with quadratic Dehn function0
Computing the twisted $L^{2}$-Euler characteristic0
Rokhlin dimension: Permanence properties and ideal separation0
Exponent of self-similar finite $p$-groups0
Iterated monodromy groups of Chebyshev-like maps on $\mathbb{C}^n$0
Factoring strongly irreducible group shift actions onto full shifts of lower entropy0
Hierarchical hyperbolicity of graph products0
A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup0
The $p$-colorable subgroup of Thompson’s group0
Extensions of invariant random orders on groups0
Equivariant dimensions of groups with operators0
The mapping class group of a nonorientable surface is quasi-isometrically embedded in the mapping class group of the orientation double cover0
Commensurations of the outer automorphism group of a universal Coxeter group0
Signature for piecewise continuous groups0
Graphs of curves and arcs quasi-isometric to big mapping class groups0
On $\mathbb{Z}^{d}$-odometers associated to integer matrices0
All finitely generated 3-manifold groups are Grothendieck rigid0
Polynomially growing harmonic functions on connected groups0
Strongly scale-invariant virtually polycyclic groups0
Groups of type $FP$ via graphical small cancellation0
A quantified local-to-global principle for Morse quasigeodesics0
Random walks on the discrete affine group0
A note on an effective characterization of covers with an application to higher rank representations0
Tight inclusions of $C^*$-dynamical systems0
On the entropies of subshifts of finite type on countable amenable groups0
Non-divergence in the space of lattices0
Globally stable cylinders for hyperbolic CAT(0) cube complexes0
Free metabelian groups are permutation stable0
Hyperbolicity of $T$(6) cyclically presented groups0
Multiorders in amenable group actions0
Groups with minimal harmonic functions as small as you like (with an appendix by Nicolás Matte Bon)0
Finitely generated groups acting uniformly properly on hyperbolic space0
The finiteness problem for groups generated by reset automata0
Stability in a group0
Conjugacy and centralizers in groups of piecewise projective homeomorphisms0
Positive crossratios, barycenters, trees and applications to maximal representations0
Topological dynamics of groupoid actions0
Hyperfiniteness of boundary actions of relatively hyperbolic groups0
On the spectrum of asymptotic entropies of random walks0
Almost commuting matrices with respect to the rank metric0
On the Bieri–Neumann–Strebel–Renz invariants of the weak commutativity construction $\mathfrak{X}(G)$0
Intermediate geodesic growth in virtually nilpotent groups0
Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity0
Groupoids decomposition, propagation and operator $K$-theory0
Thurston’s asymmetric metrics for Anosov representations0
Length statistics of random multicurves on closed hyperbolic surfaces0
Maximal subgroups and von Neumann subalgebras with the Haagerup property0
Purely pseudo-Anosov subgroups of the genus 2 handlebody group0
Complete topological descriptions of certain Morse boundaries0
Dynamics of actions of automorphisms of discrete groups $G$ on $\mathrm{Sub}_G$ and applications to lattices in Lie groups0
Constructing pseudo-Anosovs from expanding interval maps0
Transitivity of normal subgroups of the mapping class groups on character varieties0
Random walks and contracting elements II: Translation length and quasi-isometric embedding0
Twisted conjugacy in $\mathrm{SL}_{n}$ and $\mathrm{GL}_{n}$ over subrings of $\overline{\mathbb{F_p}}(t)$0
Cantor dynamics of renormalizable groups0
The automorphism group of Rauzy diagrams0
Connectedness of a space of branched coverings with a periodic cycle0
Linear progress in fibres0
On the continuity of the growth rate on the space of Coxeter systems0
On virtual indicability and property (T) for outer automorphism groups of RAAGs0
Invariable generation does not pass to finite index subgroups0
On an uncountable family of graphs whose spectrum is a Cantor set0
Higher-dimensional digraphs from cube complexes and their spectral theory0
Almost equivariant maps for td-groups0
A description of $\operatorname{Aut}(dV_n)$ and $\operatorname{Out}(dV_n)$ using transducers0
Conformal surface embeddings and extremal length0
On continuous orbit equivalence rigidity for virtually cyclic group actions0
Unbounded domains in hierarchically hyperbolic groups0
Virtually free groups are stable in permutations0
Alternating quotients of right-angled Coxeter groups0
Twisting cubic rabbits0
Euclidean Artin–Tits groups are acylindrically hyperbolic0
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