Finding diamonds in the rubble

Increasing Diamonds

A class of diamond-shaped combinatorial structures is studied whose enumerating generating functions satisfy differential equations of the form f2 “ Gpfq, for some function G. In addition to their own interests and being natural extensions of increasing trees, the study of such DAG-structures was motivated by modelling executions of seriesparallel concurrent processes; they may also be used in ...

The search for diamonds

Saharon Shelah. Middle Diamond. Archive for Mathematical Logic, vol. 44 (2005), pp. 527–560. Saharon Shelah. Diamonds. Proceedings of the American Mathematical Society, vol. 138 no. 6 (2010), pp. 2151–2161. Martin Zeman. Diamond, GCH and Weak Square. Proceedings of the American Mathematical Society, vol. 138 no. 5 (2010), pp. 1853–1859. The Continuum Hypothesis (CH) implies, and is in fact equi...

The Deflection of Menacing Rubble Pile Asteroids

Thermal Conductivity of Rubble Piles

Rubble piles are a common feature of solar system bodies. They are composed of monolithic elements of ice or rock bound by gravity. Voids occupy a significant fraction of the volume of a rubble pile. They can exist up to pressure P ≈ ǫY μ, where ǫY is the monolithic material’s yield strain and μ its rigidity. At low P , contacts between neighboring elements are confined to a small fraction of t...

Rendering Diamonds

Fascinating colors of diamonds are generated by a combination of mechanisms including Fresnel reflection, volume absorption and light dispersion. This paper proposes an approach to unify these mechanisms to synthesize realistic computer images of diamonds. Our work is based on a composite spectral model that accounts separately for smooth components and spikes in spectra. While sufficiently han...