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 2021-04-01 to 2025-04-01.)

Article	Citations
Bounded hyperbolic components of bicritical rational maps	8
Bernoulli shifts with bases of equal entropy are isomorphic	6
Ergodicity, mixing, Ratner's properties and disjointness for classical flows: On the research of Corinna Ulcigrai	6
Circle homeomorphisms with breaks with no $\boldsymbol{C^{2-\nu}}$ conjugacy	5
Horizon saddle connections and Morse–Smale dynamics of dilation surfaces	5
On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature	4
Invariant probability measures from pseudoholomorphic curves Ⅱ: Pseudoholomorphic curve constructions	4
Noncommutative coboundary equations over integrable systems	4
A new dynamical proof of the Shmerkin–Wu theorem	3
Coboundaries and eigenvalues of finitary <inline-formula><tex-math id="M1">$ S $</tex-math></inline-formula>-adic systems	3
Multiple Borel–Cantelli Lemma in dynamics and MultiLog Law for recurrence	3
The 2021 Michael Brin Prize in Dynamical Systems	2
The limit set of non-orientable mapping class groups	2
New time-changes of unipotent flows on quotients of Lorentz groups	2
Kummer rigidity for hyperkähler automorphisms	2
Regularizations of pseudo-automorphisms with positive algebraic entropy	1
Centralizer classification and rigidity for some partially hyperbolic toral automorphisms	1
Some arithmetical aspects of renormalization in Teichmüller dynamics: On the occasion of Corinna Ulcigrai winning the Brin Prize	1
Horospherical invariant measures and a rank dichotomy for Anosov groups	1
Higher bifurcations for polynomial skew products	1
Addendum: On length spectrum rigidity of dispersing billiard systems	1
The Hopf–Tsuji–Sullivan dichotomy in higher rank and applications to Anosov subgroups	1
Global stability of discretized Anosov flows	1
Dimension drop for diagonalizable flows on homogeneous spaces	1
Urysohn-type theorem under a dynamical constraint: Non-compact case	1

Characterization of norm forms via their values at integer points	1
Gate lattices and the stabilized automorphism group	1
The Brin Prize works of Tim Austin	1
On the growth of the Floer barcode	1
Periodic points of Prym eigenforms	1
Contact homology and higher dimensional closing lemmas	1
On length spectrum rigidity of dispersing billiard systems	1
Patterson–Sullivan measures for transverse subgroups	0
Summable orbits	0
Invariant measures of the topological flow and measures at infinity on hyperbolic groups	0
Homologically non-trivial periodic orbits for generic Hamiltonian diffeomorphisms of surfaces	0
Eigenvalue gaps for hyperbolic groups and semigroups	0
Random walk speed is a proper function on Teichmüller space	0
Pointwise ergodic theorem for locally countable quasi-pmp graphs	0
Symbolic coding of linear complexity for generic translations on the torus, using continued fractions	0
On ergodic properties of time changes of partially hyperbolic homogeneous flows	0
Deformation theory of one-dimensional systems	0
Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem	0
Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles	0
The strong closing lemma and Hamiltonian pseudo-rotations	0
Cocycle superrigidity from higher rank lattices to $ {{\rm{Out}}}{(F_N)} $	0
Entropy-efficient finitary codings	0
Some asymptotic properties of random walks on homogeneous spaces	0
Common preperiodic points for quadratic polynomials	0
Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom	0
Exact dimension of dynamical stationary measures	0
Sinai factors of nonsingular systems: Bernoulli shifts and Anosov flows	0
An avoidance principle and Margulis functions for expanding translates of unipotent orbits	0
Hausdorff dimension of directional limit sets for self-joinings of hyperbolic manifolds	0
Anosov flows in dimension 3 from gluing building blocks with quasi-transverse boundary	0
The 2020 Michael Brin Prize in Dynamical Systems	0
Smooth ergodic theory of $ \mathbb {Z}^d $-actions	0
A Bangert–Hingston theorem for starshaped hypersurfaces	0
Thermodynamic formalism for dispersing billiards	0
Ergodicity and equidistribution in Hilbert geometry	0
Elementary spectral invariants and quantitative closing lemmas for contact three-manifolds	0
On the set of points of zero torsion for negative-torsion maps of the annulus	0
Invariant probability measures from pseudoholomorphic curves Ⅰ	0
Generic measures for translation surface flows	0
Hodge and Teichmüller	0
Equivariant maps to subshifts whose points have small stabilizers	0
Slow entropy of higher rank abelian unipotent actions	0
Integrable outer billiards and rigidity	0
Permutation of periodic points of Veech surfaces in $ \mathscr{H}(2) $	0