3 problems

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Baccelli et al.'s Brownian-web convergence conjecture for the Euclidean DSF
Let the $cell_2$ Euclidean directed spanning forest (DSF) be viewed under diffusive scaling, and let the resulting DSF network be the collection of its diffusively rescaled traject…
Conjecturesolvedbrownian-web directed-spanning-forests scaling-limitsarXiv posted 2 days ago
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Baccelli–Bordenave conjecture on the Brownian-web scaling limit of the Poisson DSF
Baccelli–Bordenave conjecture. The scaling limit of the DSF on the Poisson points is the Brownian web $\mathcal W$ .
Conjecturesolvedbrownian-web directed-spanning-forests stochastic-processesarXiv posted 2 days ago
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Conjecture on the maximal number of bi-infinite branches with a common past direction
Let $d$ be the dimension, let $\text{BI}$ denote the set of bi-infinite branches, and consider their asymptotic directions toward the past, represented by limits…
Conjectureopendirected-spanning-forests hyperbolic-space random-geometryarXiv posted 2 days ago

Baccelli et al.'s Brownian-web convergence conjecture for the Euclidean DSF