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cond-mat.stat-mech2026
Backward Kolmogorov Transport: Sampling Invariant Laws of Reversible Diffusions from Trajectory Data
Yuanchao Xu, Isao Ishikawa
We consider a reversible diffusion with unknown drift, observed through trajectories, and construct samplers of its invariant law. The trajectories contain samples of this law, but…
math.FA2026
Dynamical rigidity for weighted composition operators on holomorphic function spaces
Isao Ishikawa
We study weighted composition operators on quasi-Banach spaces of holomorphic functions via their induced action on jets along periodic orbits. Under a natural graded nondegeneracy…