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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.

  • Monte Carlo Steklov Operators for Large-Scale Geometry Processing in the Wild cs.GR · 2026-06-04 · unverdicted · none · ref 59

    Monte Carlo estimation of volumetric Steklov operators enables robust spectral geometry processing at the scale of hundreds of thousands of in-the-wild meshes and supports contrastive 3D representation learning.

  • Quadratic fluctuations of speed-change Kawasaki dynamics math.PR · 2026-07-02 · unverdicted · none · ref 63

    Establishes weak convergence of the quadratic field for speed-change Kawasaki dynamics to equilibrium fluctuation in the non-gradient case.