Výsledky vyhledávání - "Gustafson, William"

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Autor: Gustafson, William

Deletion and contraction operations on lattices enriched with a generating set were introduced by the author in [arXiv:2112.04600]; and from these a notion of minors. When applied to the lattice of flats of a graph, these correspond to the same opera

Externí odkaz: http://arxiv.org/abs/2205.01200

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Polymatroids, closure operators and lattices

Autor: Gustafson, William

We study the closure operators of polymatroids from a lattice theoretic point of view. We show that polymatroid closure operators relate to lattices enriched with a generating set in the same way that matroids relate to geometric lattices. Through th

Externí odkaz: http://arxiv.org/abs/2112.04600

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Large-eddy simulations of marine boundary-layer clouds associated with cold air outbreaks during the ACTIVATE campaign-part 1: Case setup and sensitivities to large-scale forcings

Large-eddy simulation (LES) is able to capture key boundary-layer (BL) turbulence and cloud processes. Yet, large-scale forcing and surface turbulent fluxes of sensible and latent heat are often poorly prescribed for LES simulations. We derive these

Externí odkaz: http://arxiv.org/abs/2107.06193

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Counterexample to a conjecture of Ziegler concerning a simple polytope and its dual

Autor: Gustafson, William

Problem 4.19 in Ziegler's "Lectures on Polytopes" asserts that every simple $3$-dimensional polytope has the property that its dual can be constructed as the convex hull of a subset of the vertices of the original simple polytope. In this note we sta

Externí odkaz: http://arxiv.org/abs/2004.11869

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