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871 records
- An explicit block-recursive formula for solutions of the two-locus sampling recursion
- Block determinants of the two-locus sampling recursion: degree, positivity, squarefreeness, coprimality, and Galois groups
- Mean and variance of segregating sites, Watterson's estimator, and pairwise differences under Kingman's coalescent
- Combinatorics and probabilities of Kingman coalescent trees: histories, shapes, topologies, root splits, Colless, and Sackin
- Linked-pair panels: panel laws are determined by finitely many Laplace values
- Neutral fixation probability in exchangeable (Cannings) models
- Shannon's theorem on edge colourings of multigraphs
- No formula with denominators of bounded degree, in the total mutation parameter or in rho, for the two-locus sampling recursion
- Weak mixing times minimality: transitivity of the product
- A partition-pair decomposition of the two-locus sampling probability with Ewens marginals
- The two-locus sampling recursion of the coalescent with recombination: existence, uniqueness, and probabilistic interpretation
- Seven linked sites separate a two-island history from every panmictic history
- Total variation bound between an unpruned ancestral recombination process and SMC' on pairwise coalescence times
- Tajima's D under Kingman's coalescent: moments of the numerator, the variance estimate, and the expected spectrum
- When one finite block of linked sites separates a three-sample genealogy from every panmictic history
- Classical identities and a limit theorem of selection theory
- Weak mixing and thick common multi-sensitivity
- On the local geometry of the tight 39-point code in 𝕆P²
- On the sum of a prime and a square-free number
- Extremal Sidon sets: Fourier uniformity and partition regularity
- Auslander–Yorke dichotomy for minimal metric maps
- A finite two-temperature lower bound for the GHR sum-difference constant
- Determination Patterns in Infinite Dependency Models
- Uniform interior C^{1,α} estimates for infinity-harmonic functions in dimensions d ≥ 3
- Low-discrepancy quasi-uniform digital sequences in every dimension (Halton-type failure and residue sequences)
- Generic IP-transitive points in weakly mixing systems
- The Hilton–Milner theorem
- CONDITIONAL on RH and cited zero counts: Goldbach numbers in intervals of length 4.45 log^2 x
- Kirkman's theorem on Steiner triple systems
- Nash-Williams' weak orientation theorem
- Edmonds cardinality matroid intersection
- Knaster–Reichbach homeomorphism extension on Cantor space
- Cantor dynamical extension with a dense forward orbit
- Finite-Lp vorticity nonuniqueness for two-dimensional Euler
- Stanley's acyclic orientations and chromatic reciprocity
- Edmonds' perfect matching polytope and matching polytope
- Mycielski Cantor independent set for dense-open binary relations
- Ray-Chaudhuri–Wilson: uniform families with restricted intersections
- Infinitely many elliptic curves with torsion Z/2Z × Z/4Z and rank at least six
- The Critical 2D KPZ Process
- Deterministic factoring in time N^{o(1)}
- CONDITIONAL on GRH and four cited theorems: an explicit Chen threshold exp(exp 13.375), after Bordignon and Starichkova
- Group constructions cannot refute the Set Cover Conjecture, including tensor powers
- The Pippenger–Spencer theorem on the chromatic index of hypergraphs
- Harmonic representatives and period separation for computational-path presentations
- Category Hewitt–Savage zero-one law for infinite Baire products
- Hamiltonicity and connectivity thresholds of the random graph G(n, p)
- Nowhere-zero 3-flows in 6-edge-connected graphs
- Thomassen: planar graphs of girth at least five are 3-choosable
- Natural cohomology of general Steiner bundles