211 citations
- Massachusetts Institute of TechnologyUS4 papers
- Carleton UniversityCA3 papers
- University of AlgarvePT3 papers
- University of California, BerkeleyUS3 papers
- Williams CollegeUS3 papers
- Courant Institute of Mathematical SciencesUS2 papers
- Macalester CollegeUS2 papers
- Sabancı ÜniversitesiTR2 papers
- Ames Research CenterUS1 paper
- Arizona State UniversityUS1 paper
- Auburn UniversityUS1 paper
- Boston CollegeUS1 paper
6 papers · 1 filter
Moment Problems and the Causal Set Approach to Quantum Gravity
Avner Ash, Patrick McDonald
We study a collection of discrete Markov chains related to the causal set approach to modeling discrete theories of quantum gravity. The transition probabilities of these chains sa…
Double bubbles in the 3-torus
Miguel Carrión-Álvarez, Joseph Corneli, Genevieve Walsh +1
We present a conjecture, based on computational results, on the area minimizing way to enclose and separate two arbitrary volumes in the flat cubic 3-torus. For comparable small vo…
Dirichlet Spectrum and Heat Content
Patrick McDonald, Robert Meyers
Let be a complete Riemannian manifold and a smoothly bounded domain with compact closure. We use Brownian motion and the classic results on the Stieltjes moment pr…
Diffusions on Graphs, Poisson Problems and Spectral Geometry
Patrick McDonald, Robert Meyers
We study diffusions, variational principles and associated boundary value problems on directed graphs with natural weightings. Using random walks and exit times, we associate to ce…
Redefining Spinors in Lorentz-Violating QED
Don Colladay, Patrick McDonald
An analysis of spinor redefinitions in the context of the Lorentz-violating QED extension is performed. Certain parameters that apparently violate Lorentz invariance are found to b…
Scattering Cross Sections and Lorentz Violation
Don Colladay
To date, a significant effort has been made to adddress the Lorentz violating standard model in low-energy systems, but little is known about the ramifications for high-energy cros…