344 citations
- University of Hawaii SystemUS12 papers
- University of Hawaiʻi at MānoaUS11 papers
- University of Maryland, College ParkUS4 papers
- California Institute of TechnologyUS2 papers
- College of The BahamasBS2 papers
- Max Planck Institute for Nuclear PhysicsDE2 papers
- Max Planck Institute for Solar System ResearchDE2 papers
- Max Planck SocietyDE2 papers
- National Geospatial-Intelligence AgencyUS2 papers
- Ames Research CenterUS1 paper
- Arlington DermatologyUS1 paper
- Ball (France)FR1 paper
24 papers
Division Algebras, Triality, and Exceptional Magic
A. Garrett Lisi
We describe in explicit detail the rich relationship between division algebras, split composition algebras, triality, Clifford algebras, spinors, triality Lie algebras, generalized…
Low-cost automated spin coater and thermal annealer for additive prototyping of multilayer Bragg reflectors
Nathan J. Dawson, Yunli Lu, Zoe Lowther +4
We present and implement a design for an automated system that fabricates multilayer photonic crystal structures. The device is constructed with low-cost materials. A polystyrene/c…
A Robotic Approach towards Quantifying Epipelagic Bound Plastic Using Deep Visual Models
Gautam Tata, Sarah-Jeanne Royer, Olivier Poirion +1
The quantification of positively buoyant marine plastic debris is critical to understanding how plastic litter accumulates across the world's oceans and is also crucial to identify…
Homotopy analysis method applied to second-order frequency mixing in nonlinear optical dielectric media
Nathan J. Dawson, Moussa Kounta
The classical problem of three-wave mixing in a nonlinear optical medium is investigated using the homotopy analysis method (HAM). We show that the power series basis builds a gene…
The second hyperpolarizability of systems described by the space-fractional Schrodinger equation
Nathan J. Dawson, Onassis Nottage, Moussa Kounta
The static second hyperpolarizability is derived from the space-fractional Schrödinger equation in the particle-centric view. The Thomas-Reiche-Kuhn sum rule matrix elements and th…
Minkowski dimension and explicit tube formulas for -adic fractal strings
Michel L. Lapidus, Lũ' Hùng, Machiel van Frankenhuijsen
The local theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in…