3 problems
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Completeness conjecture for non-terminating harmonic-chain solutions
Let be a non-terminating solution of the harmonic chain in any number of dimensions, with . In the two-dimensional homogeneous-polynomial case, the s…
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Thermalization conjecture for harmonic particle chains with velocity flips
Thermalization conjecture.
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Equality of pinned and unpinned energy large deviation functions
For a harmonic chain with energy large deviation function (LDF) defined for the stationary empirical energy, distinguish the pinned case, with nonzero pinning, from the unpinned ca…