6 citations · 11 across the 7 of their papers we have counts for
7 papers
Diffusion Computation versus Quantum Computation: A Comparative Model for Order Finding and Factoring
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
We study a hybrid computational model for integer factorization in which the only non-classical resource is access to an \emph{iterated diffusion process} on a finite graph. Concre…
Discrete diffusion-type equation on regular graphs and its applications
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
We derive an explicit formula for the fundamental solution to the discrete-time diffusion equation on the -regular tree in terms of the di…
On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop a general method by which one can explicitly evaluate certain sums of -th powers of products of elementary trigonometric functions evaluated…
An integer factorization algorithm which uses diffusion as a computational engine
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop an algorithm which computes a divisor of an integer , which is assumed to be neither prime nor the power of a prime. The algorithm uses discrete time…
Limits of quotients of real polynomial functions of three variables
Juan D. Vélez, Juan P. Hernández, Carlos A. Cadavid
An algorithm for computing the limit of a quotient of bivariate real analytic functions has been developed by one of the authors in (Limits of quotients of bivariate real analytic…
Limits of quotients of real analytic functions in two variables
Carlos A. Cadavid, Juan D. Velez, Sergio Molina
Necessary and sufficient conditions for the existence of limits of the form {equation*} \lim_{(x,y)\rightarrow (a,b)}\frac{f(x,y)}{g(x,y)} {equation*} are given, under the hipothes…
Normal Factorization in and the Confluence of Singular Fibers in Elliptic Fibrations
Juan D. Velez, Carlos A. Cadavid
In this article we obtain a result about the uniqueness of factorization in terms of conjugates of the matrix $U=(\xymatrix{1 & 1 0 & 1})$, of some matrices representing the conjug…