Kenny Easwaran | Searcharxiv

arXiv2020

Markov Chains for Modeling Complex Luminescence, Absorption, and Scattering in Nanophotonic Systems

We develop a method based on Markov chains to model fluorescence, absorption, and scattering in nanophotonic systems. We show that the method reproduces Beer-Lambert's Law and Kirchhoff's Law, but also can be used to analyze deviations from these laws when some of their assumptions are violated. We show how to use the method to analyze a luminescent solar concentrator (LSC) based on semiconductor nanocrystals.

physics.optics↗

arXiv2007

A Cheerful Introduction to Forcing and the Continuum Hypothesis

This is an introduction to the set-theoretic method of forcing, including its application in proving the independence of the Continuum Hypothesis from the Zermelo-Fraenkel axioms of set theory. I presuppose no particular mathematical background beyond some familiarity with set theory and mathematical logic - in particular, no algebra is presupposed, though it can be useful. The goal is to have a document that makes this material accessible to mathematics graduate students in all fields, and to philosophers with an interest in set theory and mathematical logic but no other mathematical background.

math.LO↗