2 problems

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Random-memory threshold conjecture for the tampered memory elephant random walk
Random-memory threshold conjecture. The same threshold governs the case when $\{D_n\}_{n \ge 1}$ is random.
Conjecturesolvedelephant-random-walk random-environments random-walksarXiv posted 2 days ago
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Systematic full-support conjecture for the multidimensional urn limit
Full-support conjecture. This support hypothesis is systematically satisfied for the asymptotic urn variable $\mathbf{W}$ .
Conjectureopenelephant-random-walk probability-theory reinforced-processesarXiv posted 2 days ago

Random-memory threshold conjecture for the tampered memory elephant random walk