Under finite variance alone, partial sums of Hermite-rank functionals of stationary Gaussians converge weakly to Brownian motion in Skorokhod space when the covariance is summable enough and non-determinism (or a decimation of it) holds.
A rough functional breuer-major theorem
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.PR 3years
2026 3representative citing papers
Annealed and quenched invariance principles are established for rough walks in random conductances via a unified structural strategy that upgrades classical convergence to p-variation rough paths.
Strengthens classical scaling limit theorems for correlated random walks to functional convergence in Hölder and rough Hölder topologies.
citing papers explorer
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Breuer-Major-Donsker invariance principle
Under finite variance alone, partial sums of Hermite-rank functionals of stationary Gaussians converge weakly to Brownian motion in Skorokhod space when the covariance is summable enough and non-determinism (or a decimation of it) holds.
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Invariance principles for rough walks in random conductances
Annealed and quenched invariance principles are established for rough walks in random conductances via a unified structural strategy that upgrades classical convergence to p-variation rough paths.
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Functional Scaling Limits of Interpolated Correlated Random Walks in H\"older Topology
Strengthens classical scaling limit theorems for correlated random walks to functional convergence in Hölder and rough Hölder topologies.