Proves degree obstructions for equivalence of generalized Airy operators of the same type and answers Katz's 1987 question.
Title resolution pending
9 Pith papers cite this work, alongside 1,087 external citations. Polarity classification is still indexing.
9
Pith papers citing it
1,087
external citations · OpenAlex
citation-role summary
background 3
citation-polarity summary
verdicts
UNVERDICTED 9roles
background 3representative citing papers
Any n-qubit QC Hamiltonian sparsifies to Õ(n/ε²) terms preserving all state energies within 1±ε using invariant subspace decomposition and the Alon-Kozma operator inequality.
GRASS unifies graded and substructural type systems by supporting arbitrary collections of grade algebras and develops categorical semantics that subsumes LNL, Adjoint Logic, and mGL.
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
Many r-local Hamiltonians, including Pauli strings, random high-rank operators, and high-rank operators, admit sparsifications with o(n^r) terms that (1±ε)-approximate the original Hamiltonian on all states.
Relative Vorst theorem and relative Karoubi sequence yield improved injective stability bounds for relative K1 and K1Sp groups over regular rings.
Establishes first-order definability of Campana and Darmon points in algebraic function fields over number fields by extending quadratic Pfister form methods from prior number field results.
Shows that sets of representatives of grand (f,K)-orbits are Zariski dense for endomorphisms on all abelian varieties over number fields, assuming existence of a dense orbit point.
Periodic properties of quantum channel sequences from ergodic processes are related to global spectral data via a Perron-Frobenius-type theorem.
citing papers explorer
-
The Equivalence Problem for Generalized Airy Operators
Proves degree obstructions for equivalence of generalized Airy operators of the same type and answers Katz's 1987 question.
-
Quantum Cut Sparsifiers
Any n-qubit QC Hamiltonian sparsifies to Õ(n/ε²) terms preserving all state energies within 1±ε using invariant subspace decomposition and the Alon-Kozma operator inequality.
-
A unification of graded and substructural logics
GRASS unifies graded and substructural type systems by supporting arbitrary collections of grade algebras and develops categorical semantics that subsumes LNL, Adjoint Logic, and mGL.
-
Convergence of orbital integrals on unitary groups in positive characteristic
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
-
Many Hamiltonians Are Sparsifiable
Many r-local Hamiltonians, including Pauli strings, random high-rank operators, and high-rank operators, admit sparsifications with o(n^r) terms that (1±ε)-approximate the original Hamiltonian on all states.
-
Improved injective stability for relative $\mathrm{K_1Sp}$-groups
Relative Vorst theorem and relative Karoubi sequence yield improved injective stability bounds for relative K1 and K1Sp groups over regular rings.
-
First-order definability of Campana Points and Darmon Points in algebraic function fields in one variable over number fields
Establishes first-order definability of Campana and Darmon points in algebraic function fields over number fields by extending quadratic Pfister form methods from prior number field results.
-
On Dense Orbit Transversality for Endomorphisms of Abelian Varieties
Shows that sets of representatives of grand (f,K)-orbits are Zariski dense for endomorphisms on all abelian varieties over number fields, assuming existence of a dense orbit point.
-
Periodicity in Ergodic Quantum Processes
Periodic properties of quantum channel sequences from ergodic processes are related to global spectral data via a Perron-Frobenius-type theorem.