Citations within the release

586 citation links run between papers inside the release, read from their bibliographies. These are the 25 papers that the most other current papers cite.

A citation counts when a paper’s bibliography points to another paper in the release, once per citing and cited paper. A citation records that one paper cites another; how the cited result is used has not been examined here.

Log abundance in characteristic zero

Cited by 15 papers in the release. No accompanying Lean statement. Family 034: Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity

Orbifold and logarithmic Iitaka subadditivity

Cited by 7 papers in the release. No accompanying Lean statement. Family 033: Iitaka subadditivity, variation, and logarithmic additivity

Anticanonical nonvanishing from smooth semipositivity

Cited by 6 papers in the release. No accompanying Lean statement. Family 068: Anticanonical nonvanishing in every dimension

Goldfeld’s analytic density conjecture and the 2-converse for elliptic curves

Cited by 6 papers in the release. No accompanying Lean statement. Family 006: Goldfeld’s conjecture: densities and mean analytic rank

The spacetime Penrose inequality and enclosing area

Cited by 6 papers in the release. No accompanying Lean statement. Family 260: Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions

Optimal-order mixing of the Thorp shuffle

Cited by 5 papers in the release. Has an accompanying Lean statement. Family 238: Optimal logarithmic mixing of the Thorp shuffle

The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane \(\Re s\gt 7/8\)

Cited by 5 papers in the release. Has an accompanying Lean statement. Family 003: The quasi-Riemann hypothesis

A spectral gap throughout the high-temperature Sherrington–Kirkpatrick phase

Cited by 4 papers in the release. Has an accompanying Lean statement. Family 227: Critical SK autocorrelation processes and dynamics across the temperature transition

BKT universality for height and planar spin fields

Cited by 4 papers in the release. No accompanying Lean statement. Family 216: Critical and near-critical XY scaling and BKT universality

Equality and rigidity in the spacetime Penrose inequality

Cited by 4 papers in the release. No accompanying Lean statement. Family 260: Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions

From partial permutation information to Fourier bounds

Cited by 4 papers in the release. Has an accompanying Lean statement. Family 238: Optimal logarithmic mixing of the Thorp shuffle

Metric-measure limits of subcritical FK and spanning-tree planar maps

Cited by 4 papers in the release. No accompanying Lean statement. Family 211: The geometric phase diagram, diffusion, and spectra of random planar maps

Random coordinate frames and partial permutation laws

Cited by 4 papers in the release. No accompanying Lean statement. Family 238: Optimal logarithmic mixing of the Thorp shuffle

The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2)

Cited by 4 papers in the release. No accompanying Lean statement. Family 225: Gaussian free field limits throughout the balanced six-vertex regime

The Selmer converse for elliptic curves at every prime

Cited by 4 papers in the release. No accompanying Lean statement. Family 002: The full BSD formula from low Selmer corank

The abelianity conjecture for special compact Kähler manifolds

Cited by 4 papers in the release. No accompanying Lean statement. Family 057: Fundamental groups of special complex varieties and root orbifolds

The critical correlation exponent of the planar XY model

Cited by 4 papers in the release. No accompanying Lean statement. Family 216: Critical and near-critical XY scaling and BKT universality

Uniform excess charge for Coulomb molecules and the outer radius of neutral atoms

Cited by 4 papers in the release. No accompanying Lean statement. Family 263: The ionization and generalized ionization conjectures

Weighted dilation graphs, smooth shifted primes and totient fibers

Cited by 4 papers in the release. No accompanying Lean statement. Family 011: Prime-factor statistics of \(p-1\)

A Counterexample to Kaplansky’s Direct-Finiteness Conjecture in Characteristic Two

Cited by 3 papers in the release. Has an accompanying Lean statement. Family 197: A torsion-free group algebra that is not directly finite

A density-uniform condensate bound for dilute Bose gases

Cited by 3 papers in the release. No accompanying Lean statement. Family 267: Positive-temperature Bose–Einstein condensation and exact quantum depletion

An L³ bound for the trilinear Hilbert transform

Cited by 3 papers in the release. No accompanying Lean statement. Family 086: An L³ bound for the trilinear Hilbert transform

An isomorphism of the free group factors

Cited by 3 papers in the release. Has an accompanying Lean statement. Family 287: Isomorphism of the free group factors

Canonical conformal limits of subcritical FK planar maps

Cited by 3 papers in the release. No accompanying Lean statement. Family 211: The geometric phase diagram, diffusion, and spectra of random planar maps

Conditional information under deterministic coordinate sweeps

Cited by 3 papers in the release. No accompanying Lean statement. Family 238: Optimal logarithmic mixing of the Thorp shuffle