Mathematics catalogue
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-1701 Largest common subcladogram exponents
- Math-1702 Largest common suborder of two random two-dimensional orders
- Math-1703 Percolation of planar empires at unit merger rate
- Math-1704 Online minimum spanning tree constant
- Math-1705 Stationary law of a drift-jump particle process
- Math-1706 Near-one asymptotics for oriented-percolation flow
- Math-1707 Conjecture 0.1 — Is there an infinite expander?
- Math-1708 Nonamenable subgraphs of transitive graphs with exponential growth
- Math-1709 Nonamenable subgraphs under uniform exponential growth
- Math-1710 Cheeger constants of nets in transitive graphs
- Math-1711 Uniform expansion bounds for graph nets
- Math-1712 Grid-or-tree embeddings in superlinear Cayley graphs
- Math-1713 Roughly transitive graphs versus homogeneous spaces
- Math-1714 Minimum diameter realizing a prescribed local ball
- Math-1715 Isoperimetric dimension and nontrivial percolation threshold
- Math-1716 Self-avoiding loops on nonamenable transitive graphs
- Math-1717 Locality of connective constants
- Math-1718 Half-plane percolation for invariant FKG processes
- Math-1719 Binary trees in critical clusters of regular planar triangulations
- Math-1720 Invariant finite-energy percolation with internal threshold one
- Math-1721 Uniqueness of percolation on graphs roughly isometric to lattices
- Math-1722 Cheeger constant and the percolation nonuniqueness phase
- Math-1723 Rough-isometry invariance of percolation nonuniqueness
- Math-1724 Percolation nonuniqueness on products with the line
- Math-1725 Infinite-cluster intersections with vertical fibers
- Math-1726 From a large percolation component to a giant component on expanders
- Math-1727 Nonintersecting couplings of random walks in dimensions three and four
- Math-1728 Liouville property of infinite Ramanujan graphs
- Math-1729 Liouville property under rough isometry to nonamenable Cayley graphs
- Math-1730 Liouville extensions by an isometric integer action
- Math-1731 Limit shape in Poisson–Voronoi metrics over $\ell_p$ planes
- Math-1732 Near-critical percolation limit shapes
- Math-1733 Finite graphs whose every ball is an expander
- Math-1734 When is the uniqueness threshold below one?
- Math-1735 Uniqueness at the percolation uniqueness threshold
- Math-1736 Limit shape of first-passage percolation
- Math-1737 Sharp lower bounds for entropic subspace approximation
- Math-1738 Restricted Roth progressions and their local obstructions
- Math-1739 A root-system reduction for the spherical triangle form
- Math-1740 Popular square differences: a radix obstruction and a sharp characteristic-two no-wrap model
- Math-1741 Arithmetic removal in cyclic groups: corrected quantifiers, matching distances, and exact CRT-compatible lifts
- Math-1742 Popular-direction planarization for no-five-coplanar sumsets
- Math-1743 A variational energy core for stronger BSG
- Math-1744 Good Freiman models from polynomial coset covers
- Math-1745 Riemann-profile transference for discrete entropy monotonicity
- Math-1746 Exact structure inside a two-fold sumset
- Math-1747 Higher additive energy and quantitative stability of the Holder defect
- Math-1748 Reverse Banaszczyk minimization and the ellipsoidal regime
- Math-1749 A linear worst-case lower bound for Ramsey numbers of rectilinear knots
- Math-1750 Polynomial bounds for rectilinear knot Ramsey numbers