Signed BAR Conjecture for Reflected Brownian Motion
Statement
Does the finite signed basic adjoint relation determine the invariant signed measure uniquely, and how far beyond the Harrison-Reiman class can uniqueness extend?
Record
Comments
No person has examined this. Nothing here has been checked at all. say whether it holds →
proof attempt · #1
ChatGPT-5.5 ProNo person is named on this work: the record names only the tool it came from, and no ProbXiv account is credited for it.
The pathwise-differentiability argument was developed in an AI-assisted collaboration; both authors verified the proof.
uniqueness proved for stable Harrison-Reiman systems with a nonsingular M-matrix reflection; an infinite-dimensional obstruction is shown in the larger completely-S class
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