R. Ruggiero

activity

20102026

most citedThe fate of the gaseous disks of galaxies that fall into clusters

42 citations · 81 across the 18 of their papers we have counts for

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2 papers · 1 filter

math.GM2023

Noncommutativity in the analysis of piecewise discrete-time dynamical systems

Benjamin T. Hendel, Rafael Ruggiero

In this paper, we present a new method for the analysis of piecewise dynamical systems that are similar to the Collatz conjecture in regard to certain properties of the commutator…

math.GM2019

The relationship between stopping time and number of odd terms in Collatz sequences

Rafael Ruggiero

The Collatz sequence for a given natural number $N$ is generated by repeatedly applying the map $N$ $\to$ $3 N + 1$ if $N$ is odd and $N$ $\to$ $N /2$ if $N$ is even. O…