2 problems

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The limit-shape conjecture for the MERW pyramidal process
Let $(P_n)_{n\geq 0}$ be the suitably scaled maximal entropy random walk pyramidal process. Define … and let $\mathcal{H}$ be the graph of $\Omega$ . Set … and…
Conjectureopenlimit-shapes maximal-entropy-random-walks random-growth-modelsarXiv posted 2 days ago
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The MERW transition conjecture for the growing pyramidal model
MERW transition conjecture. The unique maximal entropy random walk for the growing pyramidal model depicted by the Kreweras-walk correspondence has transition probabilities
Conjectureopenmaximal-entropy-random-walks pyramidal-growth random-walksarXiv posted 2 days ago

The limit-shape conjecture for the MERW pyramidal process