4 problems

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The sparse-stencil conjecture for the BCH convergence radius
Sparse-stencil conjecture. In models with sparse bracket stencils, the true convergence radius satisfies
Conjectureopenbaker-campbell-hausdorff banach-algebras nonassociative-algebrasarXiv posted 2 days ago
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Conjecture on the maximal number of terms in the averaged Baker–Campbell–Hausdorff expansion
Term-count conjecture. For $d\geq L$ , the maximal possible number of terms satisfies $Q_{L,d}=Q_{L,L}$ and coincides with the number of terms obtained by expanding $R_L$ in the ave…
Conjectureopenbaker-campbell-hausdorff free-lie-algebras iterated-integralsarXiv posted 2 days ago
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Conjecture on combining discrete integrable-systems and Hopf-algebra techniques for BCH series
The Baker–Campbell–Hausdorff (BCH) series arises in the construction and analysis of modified Hamiltonians for integrable numerical integration schemes. Relevant tools include tech…
Conjectureopenbaker-campbell-hausdorff integrable-systems numerical-analysisarXiv posted 2 days ago
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Conjecture on BCH-series understanding through modified-Hamiltonian convergence
The Baker–Campbell–Hausdorff (BCH) series is used to construct modified Hamiltonians (MHs) for integrable numerical integration schemes. The precise relation between the integrabil…
Conjectureopenbaker-campbell-hausdorff integrable-systems numerical-analysisarXiv posted 2 days ago

The sparse-stencil conjecture for the BCH convergence radius