6 citations · 7 across the 4 of their papers we have counts for
9 papers
On the trajectories of a particle in a translation invariant involutive field
Cristian Cobeli, Alexandru Zaharescu
We introduce a double-folded operator that, upon iterative application, generates a dynamical system with two types of trajectories: a cyclic one and, another that grows endlessly…
A lozenge triangulation of the plane with integers
Raghavendra N. Bhat, Cristian Cobeli, Alexandru Zaharescu
We introduce and study a three-folded linear operator depending on three parameters that has associated a triangular number tilling of the plane. As a result the set of all triples…
Counterintuitive patterns on angles and distances between lattice points in high dimensional hypercubes
Jack Anderson, Cristian Cobeli, Alexandru Zaharescu
Let be a finite set of integer points in , which we assume has many symmetries, and let be a fixed point. We calculate the distances…
Distribution of angles to lattice points seen from a fast moving observer
Jack Anderson, Florin P. Boca, Cristian Cobeli +1
We consider a square expanding with constant speed seen from an observer moving away with constant acceleration and study the distribution of angles between rays from the observer…
On Quasi-Periodicity in Proth-Gilbreath Triangles
Raghavendra N Bhat, Cristian Cobeli, Alexandru Zaharescu
Let PG be the Proth-Gilbreath operator that transforms a sequence of integers into the sequence of the absolute values of the differences between all pairs of neighbor terms. Consi…
A game with divisors and absolute differences of exponents
Cristian Cobeli, Alexandru Zaharescu
In this work, we discuss a number game that develops in a manner similar to that on which Gilbreath's conjecture on iterated absolute differences between consecutive primes is form…