225 citations · 684 across the 29 of their papers we have counts for
29 papers
Classical Elastic Two-Particle Collision Energy Conservation using Edward Nelson's Energy, Double Diffusion and Special Relativity
Johan Beumee, Herschel Rabitz
The present paper shows that Edward Nelson's stochastic mechanics approach for quantum mechanics can be derived from the two classical elastically colliding particles with masses M…
Kernel-based Global Sensitivity Analysis Obtained from a Single Data Set
John Barr, Herschel Rabitz
Results from global sensitivity analysis (GSA) often guide the understanding of complicated input-output systems. Kernel-based GSA methods have recently been proposed for their cap…
A field equation for induction-transduction of activation-deactivation probability on measurable space
Caleb Deen Bastian, Herschel Rabitz
Induction-transduction of activating-deactivating points are fundamental mechanisms of action that underlie innumerable systems and phenomena, mathematical, natural, and anthropoge…
Random Graphs by Product Random Measures
Caleb Bastian, Herschel Rabitz
A natural representation of random graphs is the random measure. The collection of product random measures, their transformations, and non-negative test functions forms a general r…
The Jacobi Theta Distribution
Caleb Deen Bastian, Grzegorz Rempala, Herschel Rabitz
We form the Jacobi theta distribution through discrete integration of exponential random variables over an infinite inverse square law surface. It is continuous, supported on the p…
Uncertainty Quantification by Random Measures and Fields
Caleb Deen Bastian, Herschel Rabitz
We present a general framework for uncertainty quantification that is a mosaic of interconnected models. We define global first and second order structural and correlative sensitiv…