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19942026
most citedControl Barrier Function Based Quadratic Programs for Safety Critical Systems

2.5k citations

Showing 2003Show all

19 papers · 1 filter

math.QA2003★ 1 cited

Homological realization of Nakajima varieties and Weyl group actions

Igor Frenkel, Mikhail Khovanov, Olivier Schiffmann

We describe points on Nakajima varieties and Weyl group actions on them via complexes of semisimple and projective modules over certain finite-dimensional algebras.

astro-ph2003

Direct Search for Dark Matter Particles With Very Large Detectors

David B. Cline

We briefly discuss the expected level of supersymmetric dark matter cross-sections as a reference for dark matter detectors. We then discuss the current ZEPLIN II program as a prot…

math-ph2003★ 17 cited

Central limit theorems for the large-spin asymptotics of quantum spins

Tom Michoel, Bruno Nachtergaele

We use a generalized form of Dyson's spin wave formalism to prove several central limit theorems for the large-spin asymptotics of quantum spins in a coherent state.

math.PR2003★ 108 cited

Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process

Yuval Peres, Balint Virag

Consider the zero set of the random power series f(z)=sum a_n z^n with i.i.d. complex Gaussian coefficients a_n. We show that these zeros form a determinantal process: more precise…

math.PR2003★ 91 cited

Differential Equations for Dyson Processes

Craig A. Tracy, Harold Widom

We call "Dyson process" any process on ensembles of matrices in which the entries undergo diffusion. We are interested in the distribution of the eigenvalues (or singular values) o…

quant-ph2003

Metric-dependent probabilities that two qubits are separable

Paul B. Slater

In a previous study (quant-ph/0207181), we formulated a conjecture that arbitrarily coupled qubits (describable by 4 x 4 density matrices) are separable with an a priori probabilit…