Open Research Index

871 records

  1. Determination Patterns in Infinite Dependency Models

    Arthur Freitas Ramos

    Palomar RegistryOct 30, 2026math.LOmachine-checkedscore 0

  2. The additive theorem for 2-transitive Galois groups (Girstmair; Dixon, Theorem 1') and its representation-theoretic engine

    Stephanie Alexander

    Palomar RegistryOct 30, 2026math.NTmachine-checkedscore 0

  3. Sharp reset thresholds for bounded-response synchronization games with a sink

    Ben Keene

    Palomar RegistryOct 30, 2026cs.FLmachine-checkedscore 0

  4. PCF all the way down

    Taylor Dupuy, Thomas Tucker, Zhuoran Wang

    Palomar RegistryOct 30, 2026math.DSmachine-checkedscore 0

  5. The two-qubit Hardy ladder: the closed form P_K*(q) and its unique maximiser for every K, Hardy's optimum at K = 1, and the optimum (8 rho^2 + rho - 11)/25 in the cubic field Q(rho) at K = 2

    Stephanie Alexander

    Palomar RegistryOct 30, 2026quant-phmachine-checkedscore 0

  6. Affine profile reduction for fractional triangle packings in split graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  7. Generic strongly transitive sequences in weakly mixing Polish systems

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 29, 2026math.DSmachine-checkedscore 0

  8. Self-similar counterexamples to three conjectures of Lorentz

    Yimin Zhong

    Palomar RegistryOct 29, 2026math.CAmachine-checkedscore 0

  9. Linked-site block laws of all lengths identify the collapsed mutation-scaled genealogy

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  10. Complete-split extremizers for the fractional triangle-cover deficit on chordal graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  11. Formalizing Delcourt–Postle’s refined absorption in Lean

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  12. Linear-error clique partitions of split graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  13. The Corrádi–Hajnal theorem on vertex-disjoint cycles

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  14. The Moser–Tardos theorem (algorithmic Lovász Local Lemma)

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  15. A kernel-checked implementation of the biallelic two-locus sampling recursion, and a table checker

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  16. A prespecified betting test of panmixia against a two-deme history: size and power

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  17. An upper bound on the denominators of solutions of the two-locus sampling recursion

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026math.ACmachine-checkedscore 0

  18. The Ewens sampling formula and its generative urn

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  19. QuadraticFloor: quadratic floor sums and the trace of a quartic Bernoulli number

    Joseph S. Farland

    Palomar RegistryOct 29, 2026math.NTmachine-checkedscore 0

  20. Three omitted values and non-Blaschke point divisors in half-planes

    Quanyu Tang, Bokai Cui, Wei He, Tao Hu, Yanyang Li, Ke Wang, Zijun Yu

    Palomar RegistryOct 29, 2026math.CVmachine-checkedscore 0

  21. Graph isomorphism in quasipolynomial time on a single-tape Turing machine

    Troy Lee

    Palomar RegistryOct 29, 2026cs.DSmachine-checkedscore 0

  22. lie-trotter-lean

    Zayn Blore

    Palomar RegistryOct 29, 2026math.FAmachine-checkedscore 0

  23. An explicit block-recursive formula for solutions of the two-locus sampling recursion

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  24. Block determinants of the two-locus sampling recursion: degree, positivity, squarefreeness, coprimality, and Galois groups

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026math.ACmachine-checkedscore 0

  25. Mean and variance of segregating sites, Watterson's estimator, and pairwise differences under Kingman's coalescent

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  26. Combinatorics and probabilities of Kingman coalescent trees: histories, shapes, topologies, root splits, Colless, and Sackin

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  27. Linked-pair panels: panel laws are determined by finitely many Laplace values

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026math.STmachine-checkedscore 0

  28. Neutral fixation probability in exchangeable (Cannings) models

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  29. Shannon's theorem on edge colourings of multigraphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  30. No formula with denominators of bounded degree, in the total mutation parameter or in rho, for the two-locus sampling recursion

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026math.ACmachine-checkedscore 0

  31. Weak mixing times minimality: transitivity of the product

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 29, 2026math.DSmachine-checkedscore 0

  32. A partition-pair decomposition of the two-locus sampling probability with Ewens marginals

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  33. The two-locus sampling recursion of the coalescent with recombination: existence, uniqueness, and probabilistic interpretation

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  34. Seven linked sites separate a two-island history from every panmictic history

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  35. Total variation bound between an unpruned ancestral recombination process and SMC' on pairwise coalescence times

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  36. Tajima's D under Kingman's coalescent: moments of the numerator, the variance estimate, and the expected spectrum

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  37. When one finite block of linked sites separates a three-sample genealogy from every panmictic history

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  38. Classical identities and a limit theorem of selection theory

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  39. Weak mixing and thick common multi-sensitivity

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 29, 2026math.DSmachine-checkedscore 0

  40. On the local geometry of the tight 39-point code in 𝕆P²

    Robert R. MacGregor

    Palomar RegistryOct 29, 2026math.DGmachine-checkedscore 0

  41. On the sum of a prime and a square-free number

    Steve Hubbard

    Palomar RegistryOct 29, 2026math.NTmachine-checkedscore 0

  42. Extremal Sidon sets: Fourier uniformity and partition regularity

    Tomas Ortega

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  43. Auslander–Yorke dichotomy for minimal metric maps

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 29, 2026math.DSmachine-checkedscore 0

  44. A finite two-temperature lower bound for the GHR sum-difference constant

    Carson Olafson

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  45. Determination Patterns in Infinite Dependency Models

    Arthur Freitas Ramos

    Palomar RegistryOct 29, 2026math.LOmachine-checkedscore 0

  46. Uniform interior C^{1,α} estimates for infinity-harmonic functions in dimensions d ≥ 3

    Juan J. Manfredi

    Palomar RegistryOct 29, 2026math.APmachine-checkedscore 0

  47. Low-discrepancy quasi-uniform digital sequences in every dimension (Halton-type failure and residue sequences)

    Leonhard Gruenschloss

    Palomar RegistryOct 29, 2026math.NTmachine-checkedscore 0

  48. Generic IP-transitive points in weakly mixing systems

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 29, 2026math.DSmachine-checkedscore 0

  49. The Hilton–Milner theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  50. CONDITIONAL on RH and cited zero counts: Goldbach numbers in intervals of length 4.45 log^2 x

    Steve Hubbard

    Palomar RegistryOct 28, 2026math.NTmachine-checkedscore 0

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