most citedOuroboros Functionals, Families of Ouroboros Functions, and Their Relationship to Partial Differential Equations and Probability Theory

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.GM2021

Generating Ouroboros Polynomials and Ouroboros Matrices

Nathan Thomas Provost

Ouroboros functions have shown some interesting properties when subjected to conventional operations. The aim of this paper is to continue our investigation and prove some addition…

math.FA20211 cited

Ouroboros Functionals, Families of Ouroboros Functions, and Their Relationship to Partial Differential Equations and Probability Theory

Nathan Thomas Provost

Previously, we have introduced a very small number of examples of what we call Ouroboros functions. Using our already established theory of Ouroboros spaces and their functions, we…

math.HO2021

On the Philosophical Implications of the Ouroboros Spaces and Their Functions

Nathan Thomas Provost

In this paper, I aim to articulate and investigate the philosophical implications and inherent symbolism surrounding the mathematical properties of Ouroboros spaces and their respe…

q-fin.ST2021

Modelling Net Loan Loss with Bayesian and Frequentist Regression Analysis

Nathan Thomas Provost

We create two distinct nonlinear regression models relating net loan loss (as an outcome) to several other financial and sociological quantities. We consider these data for the tim…

math.FA2021

Ouroboros Spaces: An Intuitive Approach to Self-Referential Functional Analysis with Applications to Probability Theory

Nathan Thomas Provost

In this paper, we aim to introduce the concept of the Ouroboros space and the complimentary concept of the Ouroboros function by using the Ouroboros equation [1] as our starting po…