Showing 2021Show all
3 papers · 1 filter
math-ph2021
Construction of Nontrivial Quantum Gauge Theories: The Continuum limit in a Finite Volume
James Glimm, Jarret Petrillo, Min Chul Lee
We construct several quantum gauge theories in 4 dimensional space time, including both Abelian and non Abelian gauge groups, with the Abelian gauge fields coupled to zero mass mat…
stat.ME2021
Verification and Validation of Log-Periodic Power Law Models
Jarret Petrillo
We propose and implement a nonlinear Verification and Validation (V&V) methodology to test two fitting procedures for the log-periodic power law model (LPPL), a model that has dive…
physics.flu-dyn2021
Kubo Combinatorics for Turbulence Scaling Laws
Jarret Petrillo, James Glimm
We present an extension to Kolmogorov's refined similarity hypothesis for universal fully developed turbulence. The extension is applied within Z. She and E. Leveque's multifractal…