2 problems
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Generic Schwarzschild diffusion conjecture on bounded phase space
Define the bounded-motion region … Here is the particle energy, its angular momentum, the effective potential, and the Hamiltonian. Generic Schwarzschild bounded-ph…
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Generic Schwarzschild Arnold-diffusion conjecture near the photon sphere
Let denote the perturbed normally hyperbolic invariant manifold associated with the photon sphere, and let and be the angular-momentum quantities used in…