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 2020-11-01 to 2024-11-01.)
ArticleCitations
CAT(0) cube complexes are determined by their boundary cross ratio7
Quasi-local algebras and asymptotic expanders7
On the entropies of subshifts of finite type on countable amenable groups6
Maximal subgroups and von Neumann subalgebras with the Haagerup property5
The classification of hyperelliptic threefolds5
Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups5
Hierarchical hyperbolicity of graph products4
Unbounded domains in hierarchically hyperbolic groups4
Complete topological descriptions of certain Morse boundaries4
The boundary at infinity of the curve complex and the relative Teichmüller space4
Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)4
The Ellis semigroup of bijective substitutions4
Hyperbolicity of $T$(6) cyclically presented groups4
Amenability and measure of maximal entropy for semigroups of rational maps4
Haagerup property for wreath products constructed with Thompson's groups3
Entropy and drift for word metrics on relatively hyperbolic groups3
Topological dynamics of groupoid actions3
On the Basilica operation3
Train track maps on graphs of groups3
Almost finiteness and homology of certain non-free actions3
Acylindrical hyperbolicity of groups acting on quasi-median graphs and equations in graph products3
Multiorders in amenable group actions3
Relative entropy and the Pinsker product formula for sofic groups3
Equations in acylindrically hyperbolic groups and verbal closedness3
WWPD elements of big mapping class groups2
Symbolic group varieties and dual surjunctivity2
Finiteness properties for relatives of braided Higman–Thompson groups2
Acylindrical actions on CAT(0) square complexes2
K- and L-theory of graph products of groups2
On dual surjunctivity and applications2
Euclidean Artin–Tits groups are acylindrically hyperbolic2
Stable loops and almost transverse surfaces2
Superrigidity, measure equivalence, and weak Pinsker entropy2
Abstract group actions of locally compact groups on CAT(0) spaces2
Systolic complexes and group presentations2
Automaton groups and complete square complexes2
Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo)2
Simulations and the lamplighter group2
Cocycle superrigidity for profinite actions of irreducible lattices2
Equivariant dimensions of groups with operators2
Noncommutative joinings II2
Two generalisations of Leighton’s theorem (with an appendix by Giles Gardam and Daniel J. Woodhouse)2
Characters of algebraic groups over number fields2
CAT(0) cube complexes and inner amenability2
Minimality of the action on the universal circle of uniform foliations2
Amenability and profinite completions of finitely generated groups2
Narrow equidistribution and counting of closed geodesics on noncompact manifolds2
Length statistics of random multicurves on closed hyperbolic surfaces2
On continuous orbit equivalence rigidity for virtually cyclic group actions2
Subgroups of word hyperbolic groups in rational dimension 22
Relative hyperbolicity of hyperbolic-by-cyclic groups2
Virtually cyclic dimension for 3-manifold groups2
Tree approximation in quasi-trees1
There are no exotic actions of diffeomorphism groups on 1-manifolds1
Masur’s criterion does not hold in the Thurston metric1
Divergence of finitely presented groups1
Constructing pseudo-Anosovs from expanding interval maps1
Homological filling functions with coefficients1
Automaticity for graphs of groups1
Order-detection of slopes on the boundaries of knot manifolds1
All finitely generated 3-manifold groups are Grothendieck rigid1
Splittings of triangle Artin groups1
Centering Koebe polyhedra via Möbius transformations1
Higher-dimensional digraphs from cube complexes and their spectral theory1
Currents on cusped hyperbolic surfaces and denseness property1
Iterated monodromy groups of exponential maps1
Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity1
Measure equivalence and coarse equivalence for unimodular locally compact groups1
Profinite non-rigidity of arithmetic groups1
On the topology of the space of bi-orderings of a free group on two generators1
Decomposition of a symbolic element over a countable amenable group into blocks approximating ergodic measures1
Descriptive chromatic numbers of locally finite and everywhere two-ended graphs1
Invariable generation does not pass to finite index subgroups1
A fine property of Whitehead's algorithm1
Inclusions of $C^*$-algebras arising from fixed-point algebras1
On the existence of free subsemigroups in reversible automata semigroups1
Strongly scale-invariant virtually polycyclic groups1
Homomorphisms between multidimensional constant-shape substitutions1
Tight inclusions of $C^*$-dynamical systems1
Hofer's metric in compact Lie groups1
Counting arcs on hyperbolic surfaces1
Generation and simplicity in the airplane rearrangement group1
Monadic second-order logic and the domino problem on self-similar graphs1
Stability in a group1
Cartan subalgebras in von Neumann algebras associated with graph product groups1
On the continuity of the growth rate on the space of Coxeter systems1
Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)1
Groupoids decomposition, propagation and operator $K$-theory1
Group boundaries for semidirect products with $\mathbb{Z}$1
Formal conjugacy growth in graph products I1
Elementary subgroups of virtually free groups1
Point-pushing actions for manifolds with boundary1
Signature for piecewise continuous groups1
A couple of real hyperbolic disc bundles over surfaces1
Flip graphs for infinite type surfaces1
A higher moment formula for the Siegel–Veech transform over quotients by Hecke triangle groups1
Right-angled Coxeter groups with non-planar boundary1
Cubulation of some triangle-free Artin groups1
Conjugator lengths in hierarchically hyperbolic groups1
Minimal homeomorphisms and topological $K$-theory1
Conjugacy and centralizers in groups of piecewise projective homeomorphisms1
Subgroups of $\mathrm{PL}_{+} I$ which do not embed into Thompson’s group $F$1
On $\mathbb{Z}^{d}$-odometers associated to integer matrices1
Growing trees from compact subgroups1
Cantor dynamics of renormalizable groups1
Zeta functions and topology of Heisenberg cycles for linear ergodic flows0
A height gap in $\mathrm{GL}_{d}(\overline{\mathbb{Q}})$ and almost laws0
Property $\mathrm{(NL)}$ for group actions on hyperbolic spaces (with an appendix by Alessandro Sisto)0
Connectedness of a space of branched coverings with a periodic cycle0
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces0
Compressed decision problems in hyperbolic groups0
A graphical description of the BNS-invariants of Bestvina–Brady groups and the RAAG recognition problem0
Almost commuting matrices with respect to the rank metric0
On an uncountable family of graphs whose spectrum is a Cantor set0
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups0
Random walks on convergence groups0
Groups with finitely many Busemann points0
Homogeneous actions on the random graph0
Locally Roelcke precompact Polish groups0
Topological models of abstract commensurators0
Linear progress in fibres0
Comparison theorems for closed geodesics on negatively curved surfaces0
The Polish topology of the isometry group of the infinite dimensional hyperbolic space0
Arcs on punctured disks intersecting at most twice with endpoints on the boundary0
A complex Euclidean reflection group with a non-positively curved complement complex0
Character varieties of a transitioning Coxeter 4-orbifold0
Morse subsets of injective spaces are strongly contracting0
Ergodicity of the mapping class group action on Deroin–Tholozan representations0
Polynomially growing harmonic functions on connected groups0
Building prescribed quantitative orbit equivalence with the integers0
Corrigendum to “Morse boundaries of proper geodesic metric spaces”0
Conformal surface embeddings and extremal length0
Non-divergence in the space of lattices0
Commutator width in the first Grigorchuk group0
Proper proximality among various families of groups0
Translation-like actions by $\mathbb{Z}$, the subgroup membership problem, and Medvedev degrees of effective subshifts0
Amenability of finite energy path and loop groups0
On hereditarily self-similar $p$-adic analytic pro-$p$ groups0
Totally non-congruence Veech groups0
Infinite metacyclic subgroups of the mapping class group0
Quotients by countable normal subgroups are hyperfinite0
Patterns in sets of positive density in trees and affine buildings0
Kontsevich–Zorich monodromy groups of translation covers of some platonic solids0
Integral filling volume, complexity, and integral simplicial volume of $3$-dimensional mapping tori0
On the Bieri–Neumann–Strebel–Renz invariants of the weak commutativity construction $\mathfrak{X}(G)$0
Groups with minimal harmonic functions as small as you like (with an appendix by Nicolás Matte Bon)0
A constructive proof that many groups with non-torsion $2$-cohomology are not matricially stable0
The mapping class group of a nonorientable surface is quasi-isometrically embedded in the mapping class group of the orientation double cover0
A local-global conjugacy question arising from arithmetic dynamics0
Rough similarity of left-invariant Riemannian metrics on some Lie groups0
Curvature criterion for vanishing of group cohomology0
Deciding if a hyperbolic group splits over a given quasiconvex subgroup0
Limiting distribution of geodesics in a geometrically finite quotients of regular trees0
Self-similarity and limit spaces of substitution tiling semigroups0
Twisted conjugacy in $\mathrm{SL}_{n}$ and $\mathrm{GL}_{n}$ over subrings of $\overline{\mathbb{F_p}}(t)$0
Translation lengths in crossing and contact graphs of quasi-median graphs0
Stabilizers of stationary actions of lattices in semisimple groups0
Transitivity of normal subgroups of the mapping class groups on character varieties0
Generic free subgroups and statistical hyperbolicity0
On a family of unitary representations of mapping class groups0
Coherence and one-relator products of locally indicable groups0
Subsurface distances for hyperbolic 3-manifolds fibering over the circle0
Extensions of invariant random orders on groups0
Permanence properties of verbal products and verbal wreath products of groups0
On some planar Baumslag–Solitar actions0
Exponent of self-similar finite $p$-groups0
Cycles in graphs with geometric property (T)0
Separation and relative quasiconvexity criteria for relatively geometric actions0
Convexity of balls in outer space0
On commutator length in free groups0
Iterated Minkowski sums, horoballs and north-south dynamics0
Dynamics of actions of automorphisms of discrete groups $G$ on $\mathrm{Sub}_G$ and applications to lattices in Lie groups0
Modular orbits on the representation spaces of compact abelian Lie groups0
Confined subgroups of Thompson's group $F$ and its embeddings into wobbling groups0
Growth of quasi-convex subgroups in groups with a constricting element0
Factoring strongly irreducible group shift actions onto full shifts of lower entropy0
From loom spaces to veering triangulations0
Erratum to “On groups with $S^2$ Bowditch boundary”0
Torsion homology growth and cheap rebuilding of inner-amenable groups0
The $p$-colorable subgroup of Thompson’s group0
Self-similar abelian groups and their centralizers0
On the Hochschild homology of $\ell^1$-rapid decay group algebras0
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence0
Quasi-isometries for certain right-angled Coxeter groups0
Virtually free groups are stable in permutations0
The rates of growth in an acylindrically hyperbolic group0
Thurston’s asymmetric metrics for Anosov representations0
Cubulating one-relator products with torsion0
Asymptotic property C of the wreath product $\mathbb Z \wr \mathbb Z$0
Graphs of curves and arcs quasi-isometric to big mapping class groups0
On compact extensions of tracial $W^{*}$-dynamical systems0
A law of iterated logarithm on lamplighter diagonal products0
Properly discontinuous actions versus uniform embeddings0
Combinatorial growth in the modular group0
Fluctuations of ergodic averages for amenable group actions0
Isolated circular orders of PSL(2,$\mathbb{Z}$)0
On spherical unitary representations of groups of spheromorphisms of Bruhat–Tits trees0
On von Neumann equivalence and group approximation properties0
Limits of almost homogeneous spaces and their fundamental groups0
Property FA is not a profinite property0
Cohomology of hyperfinite Borel actions0
Positive crossratios, barycenters, trees and applications to maximal representations0
Distal strongly ergodic actions0
Contact graphs, boundaries, and a central limit theorem for $\mathrm{CAT}(0)$ cubical complexes0
Iterated monodromy groups of Chebyshev-like maps on $\mathbb{C}^n$0
Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five0
Entropy and finiteness of groups with acylindrical splittings0
Random walks on the discrete affine group0
On virtual indicability and property (T) for outer automorphism groups of RAAGs0
A property of closed geodesics on hyperbolic surfaces0
On maximal subgroups of Thompson’s group $F$0
Non virtually solvable subgroups of mapping class groups have non virtually solvable representations0
Effective finite generation for $[\mathrm{ IA}_n,\mathrm{ IA}_n]$ and the Johnson kernel0
Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones0
Amenability of quadratic automaton groups0
Rokhlin dimension: Permanence properties and ideal separation0
Quasi-inner automorphisms of Drinfeld modular groups0
The automorphism group of Rauzy diagrams0
A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup0
On the geometry of a Picard modular group0
Small-cancellation groups with and without sigma-compact Morse boundary0
Algorithmic problems in groups with quadratic Dehn function0
Commensurations of the outer automorphism group of a universal Coxeter group0
Abelian subgroups of the fundamental group of a space with no conjugate points0
Realizing invariant random subgroups as stabilizer distributions0
Twisting cubic rabbits0
Structure of normally and finitely non-co-Hopfian groups0
Asymptotic representations of Hamiltonian diffeomorphisms and quantization0
Convex co-compact groups with one-dimensional boundary faces0
Almost equivariant maps for td-groups0
Globally stable cylinders for hyperbolic CAT(0) cube complexes0
Slim curves, limit sets and spherical CR uniformisations0
Quotients of the curve complex0
Hyperfiniteness of boundary actions of relatively hyperbolic groups0
Growth of pseudo-Anosov conjugacy classes in Teichmüller space0
Alternating quotients of right-angled Coxeter groups0
Property (T) in density-type models of random groups0
Hyperbolic geometry of shapes of convex bodies0
Arithmetic quotients of the automorphism group of a right-angled Artin group0
On the spectrum of asymptotic entropies of random walks0
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor0
A pro-$p$ version of Sela’s accessibility and Poincaré duality pro-$p$ groups0
Compatible pants decomposition for $\mathrm{SL}_{2}(\mathbb{C})$ representations of surface groups0
A description of $\operatorname{Aut}(dV_n)$ and $\operatorname{Out}(dV_n)$ using transducers0
Hyperbolic quotients of projection complexes0
Finitely generated groups acting uniformly properly on hyperbolic space0
Erratum to "Generic free subgroups and statistical hyperbolicity"0
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