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math.AP2026
Self-similarity and diffusive limits for linear kinetic equations: a Wild sum approach
José A. Cañizo, Stéphane Mischler, Niccolò Tassi
We prove that linear collisional kinetic equations in the whole space without confinement mechanism display a long-time self-similar behaviour. This drastically improves the recent…
math.AP2026
Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space
José Alfredo Cañizo, Alejandro Gárriz, Diego Alfonso Marín
In this work we study the large-time behaviour of solutions of the Heat Equation in the hyperbolic space , providing precise speeds of convergence in and $L^\in…