2 problems

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Nondegeneracy conjecture for self-similar complex Ginzburg–Landau solutions
Nondegeneracy conjecture. Based on numerical calculations, this condition is satisfied for $\sigma>2/d$ .
Conjectureopencomplex-ginzburg-landau nondegeneracy self-similar-solutionsarXiv posted 2 days ago
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Distinguished-dimension conjecture for finite-dimensional volume contraction
Distinguished-dimension conjecture. There is a distinguished dimension such that the contraction rate of volumes restricted to this dimension is always finite and is connected to t…
Conjectureopencomplex-ginzburg-landau dynamical-systems spatiotemporal-chaosarXiv posted 2 days ago

Nondegeneracy conjecture for self-similar complex Ginzburg–Landau solutions