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math.DS2019★ 1 cited
A dynamical approach towards Collatz conjecture
Pablo Castañeda
The present work focuses on the study of the renowned Collatz conjecture, also known as the problem. The analysis rests on the dynamics of an iterative map in binary form, d…
math.AP2019
Embedded delta shocks
Pablo Castañeda
In 1977 Korchinski presented a new type of shock discontinuity in conservation laws. These singular solutions were coined -shocks since there is a time dependent Dirac delta inv…