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math.DG2026
Towards Long-time Geometrization: Stability of the Double-Cusp Spacetimes Under T2-Symmetry
Alejandro Bellati, Martin Reiris
Since the early years of General Relativity, understanding the long-time behavior of the cosmological solutions of Einstein's vacuum equations has been a fundamental yet challengin…
math.DG2025
Deriving Perelman's entropy from Colding's monotonic volume
Ignacio Bustamante, Martin Reiris
In his groundbreaking work from 2002, Perelman introduced two fundamental monotonic quantities: the reduced volume and the entropy. While the reduced volume was motivated by the Bi…