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math.DS2026
Unique ergodicity of hedgehogs
Ricardo Perez-Marco
We prove that the dynamics on a non-linearizable hedgehog is uniquely ergodic. This solves a conjecture of the author formulated in 1995. Its unique invariant probability measure i…
math.NT2026
General Stirling-Ramanujan Constants are exponential periods and applications
Mounir Hajli, Ricardo Perez-Marco
For , Stirling-Ramanujan constants are the Ramanujan summation of the divergent series . These constants are exponential periods over the e…
math.RA2026
A natural eñe product construction of the Big Witt ring
Daniel Barsky, Ricardo Perez-Marco, Jean-Pierre Ramis
We give a straightforward, self-contained, and natural construction of the Big Witt ring using the eñe product that is defined through the action on zeros of polynomials. This is i…