Number-conserving fermionic shadow tomography estimates all k-body correlations in η-particle N-mode states using O_k(η^k/ε²) samples independent of N, with a matching Ω_k(η^k/ε²) lower bound for single-copy adaptive protocols.
and Fomin, Sergey , year = 1999, month = jan, edition =
8 Pith papers cite this work. Polarity classification is still indexing.
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Fröberg conjecture on Hilbert series of generic polynomial ideals holds in the second non-trivial degree for d>2 and up to degree 2d-1 for sufficiently many variables.
For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
The slot decomposition of continuous Box-Ball Systems is a Poisson process when the weight function is in L1 under product measures on finite excursions.
K-theory rings of toric and flag varieties are realized as quotients of group algebras from linear families of virtual polytopes, yielding natural relations and descriptions of structure sheaf classes, including in the T-equivariant case.
Introduces type C isotropic Kalman varieties and computes their equations, invariants, and singularities as analogues of the type A case.
The authors connect k-coloured Motzkin paths to odd-height prefixes and supply a linear-time random generation algorithm.
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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Provably Efficient Learning of Fermionic Correlations under Particle-Number Symmetry
Number-conserving fermionic shadow tomography estimates all k-body correlations in η-particle N-mode states using O_k(η^k/ε²) samples independent of N, with a matching Ω_k(η^k/ε²) lower bound for single-copy adaptive protocols.
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Independence of generic forms and the Fr\"oberg conjecture
Fröberg conjecture on Hilbert series of generic polynomial ideals holds in the second non-trivial degree for d>2 and up to degree 2d-1 for sufficiently many variables.
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Norm of infinite doubly stochastic matrices
For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
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Slot decomposition of continuous Box-Ball Systems
The slot decomposition of continuous Box-Ball Systems is a Poisson process when the weight function is in L1 under product measures on finite excursions.
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Polyhedral models for K-theory of toric and flag varieties
K-theory rings of toric and flag varieties are realized as quotients of group algebras from linear families of virtual polytopes, yielding natural relations and descriptions of structure sheaf classes, including in the T-equivariant case.
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Syzygies of Isotropic Kalman Varieties
Introduces type C isotropic Kalman varieties and computes their equations, invariants, and singularities as analogues of the type A case.
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Random Generation of $k$-coloured Motzkin Paths
The authors connect k-coloured Motzkin paths to odd-height prefixes and supply a linear-time random generation algorithm.
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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.