Fourier dimension of the graph of fBM with H ≥ 1/2 is a.s. 1, established via a new combinatorial integration by parts formula combined with Faà di Bruno's formula and strong local nondeterminism.
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Develops a Hilbert-space framework for energy solutions of singular SPDEs that handles general domains and boundary conditions without Fourier or chaos expansions.
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Fourier dimension of the graph of fractional Brownian motion with $H \ge 1/2$
Fourier dimension of the graph of fBM with H ≥ 1/2 is a.s. 1, established via a new combinatorial integration by parts formula combined with Faà di Bruno's formula and strong local nondeterminism.
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Energy solutions of singular SPDEs on Hilbert spaces with applications to domains with boundary conditions
Develops a Hilbert-space framework for energy solutions of singular SPDEs that handles general domains and boundary conditions without Fourier or chaos expansions.