3 problems

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The generator conjecture for the positive self-similar CSBP started at zero
Let $\alpha$ be the stable index, let $C_{\alpha}$ be the constant appearing in the stable Lévy generator, and let $f$ belong to a suitable class of nice functions. Consider the…
Conjectureopencontinuous-state-branching-processes self-similar-fragmentations stable-processesarXiv posted 2 days ago
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Conjecture on the extinction speed under Spitzer's condition
Extinction-speed conjecture. We conjecture that, under Spitzer's condition for Lévy processes, the above result remains valid under the less restrictive assumptions $\vartheta^+=1$ …
Conjectureopencontinuous-state-branching-processes extinction levy-processesarXiv posted 2 days ago
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The spectral-radius growth conjecture for multi-type continuous-state branching processes
Spectral-radius growth conjecture. When local extinction fails, for each $i\in\mathbb{N}$ the process satisfies
Conjectureopenbranching-processes continuous-state-branching-processes probabilityarXiv posted 2 days ago

The generator conjecture for the positive self-similar CSBP started at zero