7 citations · 8 across the 6 of their papers we have counts for
6 papers
Pythagorean Triples, Bézout Coefficients and the Erdős-Straus Conjeceture
Kyle Bradford
This paper is a preliminary expository paper that outlines the relationship between solutions to the Erdős-Straus conjecture for a given prime and their corresponding Pythagore…
Stable Adiabatic Times For A Continuous Evolution Of Markov Chains
Kyle Bradford
This paper continues the discussion on the stability of time-inhomogeneous Markov chains. In particular, this paper defines a time-inhomogeneous, discrete-time Markov chain governe…
A Geometric Consideration of the Erdős-Straus Conjecture
Kyle Bradford, Eugen Ionascu
In this paper we will explore the solutions to the diophantine equation in the Erdős-Straus conjecture. For a prime we are discussing the relationship between the values $x,y,z…
Unit Fractions in Norm-Euclidean Rings of Integers
Kyle Bradford, Eugen J. Ionascu
In this paper we make a Gaussian integer version of the Erdős-Straus conjecture and we solve the Erdős-Straus diophantine equation over the rings of integers of norm-Euclidean quad…
Stable Adiabatic Times for Markov Chains
Kyle Bradford, Yevgeniy Kovchegov, Thinh Nguyen
In this paper we continue our work on adiabatic time of time-inhomogeneous Markov chains first introduced in Kovchegov (2010) and Bradford and Kovchegov (2011). Our study is an ana…
Adiabatic times for Markov chains and applications
Kyle Bradford, Yevgeniy Kovchegov
We state and prove a generalized adiabatic theorem for Markov chains and provide examples and applications related to Glauber dynamics of Ising model over Z^d/nZ^d. The theorems de…