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math.DS2026★ 1 cited
Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents
V. Álvarez-Aparicio, J. M. Garc\'ıa-Calcines, L. J. Hernández-Paricio +1
The objective of this work is twofold. One, we develop a theory of iteration for complex rational functions so that the problems of overflow and indeterminacy caused by null, or al…
math.AT2026
A stable framework for proper and exterior homotopy and cohomology theories
Antonio Ceres, José M. García-Calcines, Aniceto Murillo
We develop a stable framework for exterior homotopy theory and apply it to proper homotopy theory. Starting from a known simplicial model structure on the category of exterior spac…