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ORNSTEIN-UHLENBECK ON TREES 25

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Ornstein--Uhlenbeck semigroup on rooted trees

math.AP · 2026-06-30 · unverdicted · novelty 6.0

Constructs symmetric analytic positivity-preserving Ornstein-Uhlenbeck semigroups on rooted metric trees with Gaussian measures, establishes compactness and eigenvalue asymptotics, and reduces regular cases to half-line problems via adapted Naimark-Solomyak decomposition.

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  • Ornstein--Uhlenbeck semigroup on rooted trees math.AP · 2026-06-30 · unverdicted · none · ref 5

    Constructs symmetric analytic positivity-preserving Ornstein-Uhlenbeck semigroups on rooted metric trees with Gaussian measures, establishes compactness and eigenvalue asymptotics, and reduces regular cases to half-line problems via adapted Naimark-Solomyak decomposition.