Kavli Affiliate: Kinfai Mak | First 5 Authors: Simon Mak, Simon Mak, , , | Summary: This paper introduces a new way to compact a continuous probability distribution $F$ into a set of representative points called support points. These points are obtained by minimizing the energy distance, a statistical potential measure initially proposed by Székely […]
Kavli Affiliate: Nicholas L. Abbott | Summary:Fundamental studies of the effect of specific ions on hydrophobic interactions are driven by the need to understand phenomena such as hydrophobically driven self-assembly or protein folding. Using beta-peptide-inspired nano-rods, we investigate the effects of both free ions (dissolved salts) and proximally immobilized ions on hydrophobic interactions. We find […]
Kavli Affiliate: Richard D. Robinson | Summary:Electron tomography in materials science has flourished with the demand to characterize nanoscale materials in three dimensions (3D). Access to experimental data is vital for developing and validating reconstruction methods that improve resolution and reduce radiation dose requirements. This work presents five high-quality scanning transmission electron microscope (STEM) tomography […]
Kavli Affiliate: Daniel Ralph | First 5 Authors: Ralph Henstock, Ralph Henstock, , , | Summary: These are the class notes of lectures given by Ralph Henstock at the New University of Ulster in 1970-71. The notes deal with the Riemann-complete integral (also known as the generalized Riemann integral, the gauge integral, and the Henstock-Kurzweil […]
Kavli Affiliate: Lara A. Estroff | Summary:Intricate biomineralization processes in molluscs engineer hierarchical structures with meso-, nano-, and atomic architectures that give the final composite material exceptional mechanical strength and optical iridescence on the macroscale. This multiscale biological assembly inspires new synthetic routes to complex materials. Our investigation of the prism-nacre interface reveals nanoscale details […]
Kavli Affiliate: Kinfai Mak| First 5 Authors: Eyal Heifetz, Eyal Heifetz, , , | Summary:Effects of the baroclinic torque on wave propagation normally neglected under the Boussinesq approximation is investigated here, with a special focus on the associated consequences for the mechanistic interpretation of shear instability arising from the interaction between a pair of vorticity-propagating […]
Kavli Affiliate: Christopher Ober| First 5 Authors: F. Ober, F. Ober, , , | Summary:Circumstellar disks are considered to be the birthplace of planets. Specific structures like spiral arms, gaps, and cavities are characteristic indicators of planet-disk interaction. Investigating these structures can provide insights into the growth of protoplanets and the physical properties of the […]
Kavli Affiliate: Daniel Ralph| First 5 Authors: William Ralph, William Ralph, , , | Summary:Occam’s Razor tells us to pick the simplest model that fits our observations. In order to make sense of his process mathematically, we interpret it in the context of posets of functions. Our approach leads to some unusual new combinatorial problems […]
Kavli Affiliate: Kyle Shen | First 5 Authors: Matthew Molloy, Matthew Molloy, , , | Summary: We describe a method to extract resonant orbits from N-body simulations exploiting the fact that they close in a frame rotating with a constant pattern speed. Our method is applied to the N-body simulation of the Milky Way by […]
Kavli Affiliate: Kinfai Mak | First 5 Authors: Kit-Ho Mak, Kit-Ho Mak, , , | Summary: Let $p$ be a prime number, $C$ be any absolutely irreducible affine plane curve over $mathbbF_p$, and $g,finmathbbF_p(x,y)$ be rational functions. We continue the study of the distribution of the values of short hybrid exponential sums of the form […]