Dynamical systems
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-2137 Period functions for systems with homogeneous components
- Math-2138 Maximum number of critical periods
- Math-2139 Reversible quadratic systems
- Math-2140 A piecewise-linear Hilbert sixteenth-type problem
- Math-2141 A Markus–Yamabe problem for differential equations
- Math-2142 A Markus–Yamabe/La Salle problem for discrete dynamical systems
- Math-2143 Random linear differential equations
- Math-2144 Triangular billiards
- Math-2145 Loewner's conjecture
- Math-2152 Arc in a Cremer Julia set
- Math-2153 Components after removing a Cremer fixed point
- Math-2154 Periodic orbits near a Cremer point
- Math-2155 Periodic point on a Siegel-disk boundary
- Math-2156 Diameter of Mandelbrot limbs
- Math-2157 Lebesgue ergodicity on a spherical Julia set
- Math-2158 Full-plane Julia sets in the exponential family
- Math-2159 Parameter spaces of cosine and sine families
- Math-2160 Local connectivity of quadratic Julia sets
- Math-2161 Herman-ring retracts for Hénon maps
- Math-2227 Arnold and Arnold–Givental conjectures
- Math-2228 Banach's simple Lebesgue spectrum problem
- Math-2229 Rokhlin multiple-mixing problem
- Math-2326 Birkhoff Integrable-Billiards Conjecture
- Math-2415 Full-Measure Families of Ergodic Irrational Polygons
- Math-2423 Multistationarity and Permanence in MESSI Reaction Networks
- Math-2431 Persistence and Permanence of Weakly Reversible Reaction Networks
- Math-2454 Birkhoff Rigidity Conjecture for Convex Billiards
- Math-2455 Local Birkhoff Rigidity Near Elliptical Billiards
- Math-2486 Pointwise Convergence of Multiple Ergodic Averages
- Math-2501 Pointwise Convergence of Polynomial Ergodic Averages
- Math-2683 Weak mixing of every triangular billiard with an irrational angle
- Math-2684 Pointwise convergence of all consecutive-power multiple averages under mixing
- Math-2685 Pointwise triple ergodic averages with distinct integer slopes under mixing
- Math-2686 Pointwise convergence of fourfold ergodic averages under mixing
- Math-2687 Pointwise convergence of consecutive triple ergodic averages under mixing
- Math-2688 Dimension of a real self-similar attractor without exact overlaps
- Math-2689 Singularity of Bernoulli convolutions at quartic Salem reciprocals
- Math-2690 Exact maximal limit-cycle count for quintic classical Lienard systems
- Math-2691 Entropy-rate dimension formula for all real self-similar measures
- Math-2692 Ellipse rigidity from a continuous physical collar of smooth caustics
- Math-2693 Uniform finiteness of planar polynomial limit cycles
- Math-2694 Zero-entropy probability system with no smooth positive-volume model
- Math-3075 The Painlevé Conjecture
- Math-3434 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-3435 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-3436 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-3437 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-3438 Open Problems in Integrable Systems — Two-dimensional case.
- Math-3439 Open Problems in Integrable Systems — Two-dimensional case.
- Math-3440 Open Problems in Integrable Systems — Polynomial in momenta integrals in higher dimensions.