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?
Context
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
A long-open technical conjecture in queueing/diffusion theory.
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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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