OOIR: Observatory of International Research

Papers

(The median citation count of Journal of Modern 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.)

Article	Citations
Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds	7
Eigenvalue gaps for hyperbolic groups and semigroups	6
The Hopf–Tsuji–Sullivan dichotomy in higher rank and applications to Anosov subgroups	6
Bernoulli shifts with bases of equal entropy are isomorphic	6
Dynamics of transcendental Hénon maps III: Infinite entropy	4
Thermodynamic formalism for dispersing billiards	4
Hausdorff dimension of directional limit sets for self-joinings of hyperbolic manifolds	4
Common preperiodic points for quadratic polynomials	4
Global stability of discretized Anosov flows	4
Ergodicity and equidistribution in Hilbert geometry	3
Multiple Borel–Cantelli Lemma in dynamics and MultiLog Law for recurrence	3
Hodge and Teichmüller	3
A new dynamical proof of the Shmerkin–Wu theorem	3
Rauzy induction of polygon partitions and toral $ \mathbb{Z}^2 $-rotations	2
New time-changes of unipotent flows on quotients of Lorentz groups	2
On Furstenberg systems of aperiodic multiplicative functions of Matomäki, Radziwiłł, and Tao	2
Slow entropy of higher rank abelian unipotent actions	1
On length spectrum rigidity of dispersing billiard systems	1
Horospherical invariant measures and a rank dichotomy for Anosov groups	1
Smooth ergodic theory of $ \mathbb {Z}^d $-actions	1
On the set of points of zero torsion for negative-torsion maps of the annulus	1
Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem	1
Computing the Rabinowitz Floer homology of tentacular hyperboloids	1
Higher bifurcations for polynomial skew products	1
Horospherically invariant measures and finitely generated Kleinian groups	1

Summable orbits	1
Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles	1
An avoidance principle and Margulis functions for expanding translates of unipotent orbits	1
On the growth of the Floer barcode	1
Gate lattices and the stabilized automorphism group	1
Regularizations of pseudo-automorphisms with positive algebraic entropy	1
Some asymptotic properties of random walks on homogeneous spaces	1
A Bangert–Hingston theorem for starshaped hypersurfaces	1
Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom	1
On ergodic properties of time changes of partially hyperbolic homogeneous flows	0
Characterization of norm forms via their values at integer points	0
Contact homology and higher dimensional closing lemmas	0
Some arithmetical aspects of renormalization in Teichmüller dynamics: On the occasion of Corinna Ulcigrai winning the Brin Prize	0
Kummer rigidity for hyperkähler automorphisms	0
Circle homeomorphisms with breaks with no $\boldsymbol{C^{2-\nu}}$ conjugacy	0
Patterson–Sullivan measures for transverse subgroups	0
Invariant probability measures from pseudoholomorphic curves Ⅱ: Pseudoholomorphic curve constructions	0
Invariant measures of the topological flow and measures at infinity on hyperbolic groups	0
Partially hyperbolic diffeomorphisms with one-dimensional neutral center on 3-manifolds	0
Symbolic coding of linear complexity for generic translations on the torus, using continued fractions	0
Pointwise ergodic theorem for locally countable quasi-pmp graphs	0
Sinai factors of nonsingular systems: Bernoulli shifts and Anosov flows	0
Permutation of periodic points of Veech surfaces in $ \mathscr{H}(2) $	0
Dimension drop for diagonalizable flows on homogeneous spaces	0
Integrable outer billiards and rigidity	0
Centralizer classification and rigidity for some partially hyperbolic toral automorphisms	0
The Brin Prize works of Tim Austin	0
On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature	0
The strong closing lemma and Hamiltonian pseudo-rotations	0
Horizon saddle connections and Morse–Smale dynamics of dilation surfaces	0
Generic measures for translation surface flows	0
Bounded hyperbolic components of bicritical rational maps	0
The 2020 Michael Brin Prize in Dynamical Systems	0
Random walk speed is a proper function on Teichmüller space	0
Equivariant maps to subshifts whose points have small stabilizers	0
Addendum: On length spectrum rigidity of dispersing billiard systems	0
Periodic points of Prym eigenforms	0
Urysohn-type theorem under a dynamical constraint: Non-compact case	0
The 2021 Michael Brin Prize in Dynamical Systems	0
The limit set of non-orientable mapping class groups	0
Entropy-efficient finitary codings	0
Noncommutative coboundary equations over integrable systems	0
Cocycle superrigidity from higher rank lattices to $ {{\rm{Out}}}{(F_N)} $	0
Ergodicity, mixing, Ratner's properties and disjointness for classical flows: On the research of Corinna Ulcigrai	0
Elementary spectral invariants and quantitative closing lemmas for contact three-manifolds	0
Invariant probability measures from pseudoholomorphic curves Ⅰ	0
A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system	0