3 problems

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Conjecture on removing the vanishing-derivative assumption for the noise coefficient
Let $F:\mathcal{X}\to\mathcal{X}$ satisfy $F(0)={\textnormal{D}}F(0)=0$ , and let $G:\mathcal{X}\to\mathcal{L}(\mathcal{V},\mathcal{X})$ satisfy the regularity and Lipschitz conditi…
Conjectureopencenter-manifolds random-dynamical-systems rough-differential-equationsarXiv posted 2 days ago
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Exponential convergence of the meandering-spiral center-manifold vector field
Convergence conjecture. The Taylor jet of the vector field on this manifold converges exponentially as $R$ increases, and the limiting equation is given by the skew-product equatio…
Conjectureopencenter-manifolds dynamical-systems spiral-wavesarXiv posted 2 days ago
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Four-dimensional Hadamard manifold conjecture through $F_6$
Let $F_6$ be the order-six Fourier matrix. Let $\alpha_i$ be the time-rate functions for the four center-manifold coordinates in the embedding used by the source. Four-dimensional…
Conjectureopencenter-manifolds complex-hadamard-matricesarXiv posted 2 days ago

Conjecture on removing the vanishing-derivative assumption for the noise coefficient