OOIR: Observatory of International Research

Papers

(The median citation count of Journal of Modern Dynamics is 1. 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 2022-05-01 to 2026-05-01.)

Article	Citations
The Hopf–Tsuji–Sullivan dichotomy in higher rank and applications to Anosov subgroups	15
Regularizations of pseudo-automorphisms with positive algebraic entropy	8
Periodic points of Prym eigenforms	7
Addendum: On length spectrum rigidity of dispersing billiard systems	7
Hofer energy and link preserving diffeomorphisms in higher genus	7
Kummer rigidity for hyperkähler automorphisms	7
On pseudo-rotations of the annulus with generic rotation number	5
The Hölder exponent of Anosov limit maps	4
Contact homology and higher dimensional closing lemmas	4
Permutation of periodic points of Veech surfaces in <inline-formula><tex-math id="M1">$ \mathscr{H}(2) $</tex-math></inline-formula>	3
Equivariant maps to subshifts whose points have small stabilizers	3
Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem	2
Bumpy metric theorem in the sense of Mañé for non-convex Hamiltonians	2
A global shadow lemma and logarithm law for geometrically finite Hilbert geometries	2
Exact dimension of dynamical stationary measures	2
Local product structure for equilibrium states of geodesic flows and applications	2
Invariant probability measures from pseudoholomorphic curves Ⅱ: Pseudoholomorphic curve constructions	2
Homologically non-trivial periodic orbits for generic Hamiltonian diffeomorphisms of surfaces	2
Patterson–Sullivan measures for transverse subgroups	2
Some asymptotic properties of random walks on homogeneous spaces	2
On the complexity of polygonal billiards	1
Mean value theorems for the S-arithmetic primitive Siegel transforms	1
Characterization of norm forms via their values at integer points	1
Mapping class group orbit closures for Deroin–Tholozan representations	1
On length spectrum rigidity of dispersing billiard systems	1

Elementary spectral invariants and quantitative closing lemmas for contact three-manifolds	1
Summable orbits	1
Instability for rank one factors of product actions	1
The 2021 Michael Brin Prize in Dynamical Systems	1
Anosov flows in dimension 3 from gluing building blocks with quasi-transverse boundary	1
Anosov flows with the same periodic orbits	1
On the growth of the Floer barcode	1
Symbolic coding of linear complexity for generic translations on the torus, using continued fractions	1
Mean ergodic theorems in <inline-formula><tex-math id="M1">$ L^r(\mu) $</tex-math></inline-formula> and <inline-formula><tex-math id="M2">$ H^r(\mathbb T) $</tex	1
On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature	1
Dimension drop for diagonalizable flows on homogeneous spaces	1
Bumpy metric theorem for co-rank 1 sub-Riemannian and reversible sub-Finsler metrics	1
A Bangert–Hingston theorem for starshaped hypersurfaces	1
Equidistribution of continued fraction convergents in <inline-formula><tex-math id="M1">$ \mathrm{SL}(2,\mathbb{Z}_m) $</tex-math></inline-formula> with an application to local	1