3 problems

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Modified Lyons–Sidorova conjecture on entire log-signatures of tree-reduced paths
Modified Lyons–Sidorova conjecture. One has
Conjectureopenbounded-variation-paths rough-path-theory signaturesarXiv posted 2 days ago
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Lyons-Sidorova conjecture on logarithmic signatures of tree-reduced BV paths
Lyons-Sidorova conjecture. The logarithmic signature of $\gamma$ has infinite R.O.C. if and only if $\gamma$ is a line segment. The conjecture proposes that, among continuous tree-…
Conjectureopenbounded-variation-paths rough-path-theory signaturesarXiv posted 2 days ago
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The signature asymptotic conjecture for tree-reduced paths
Signature asymptotic conjecture. If $\gamma$ is tree-reduced, then
Conjectureopenbounded-variation-paths rough-path-theory signature-methodsarXiv posted 2 days ago

Modified Lyons–Sidorova conjecture on entire log-signatures of tree-reduced paths