Develops a sieve-based local projection estimator that recovers causal state-dependent impulse responses under linearity of conditional means in micro-macro panels, with valid inference.
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Products of finite-dimensional quantum channels asymptotically forget input states under decay of the centered trace-Dobrushin coefficient, yielding unique replacement channels and convergence for deterministic and random inhomogeneous MPS.
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Causal State-Dependent Local Projections
Develops a sieve-based local projection estimator that recovers causal state-dependent impulse responses under linearity of conditional means in micro-macro panels, with valid inference.
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Asymptotic Replacement for Quantum Channel Products with Applications to Inhomogeneous Matrix Product States
Products of finite-dimensional quantum channels asymptotically forget input states under decay of the centered trace-Dobrushin coefficient, yielding unique replacement channels and convergence for deterministic and random inhomogeneous MPS.