5 problems
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Conjecture on differentiability of the ISE density
Let be the density of the integrated super-Brownian excursion (ISE), whose existence and Hölder continuity are established in the paper. ISE density differenti…
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Local limit conjecture for labelled conditioned Galton–Watson trees
Let be a conditioned Galton--Watson tree with nodes, whose edges carry independent identically distributed integer-valued increments with mean , finite varian…
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The density conjecture for the integrated superBrownian excursion
Let be the integrated superBrownian excursion measure on , and let be the non-negative random variable whose law is specified by the l…
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Continuum Random Map conjecture from Integrated SuperBrownian Excursion
Let ISE denote Integrated SuperBrownian Excursion, and let a Continuum Random Map (CRM) mean a continuum random metric-space object analogous to the Continuum Random Tree (CRT), wh…
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Chapuy–Marckert conjecture on the Markov property of the ISE density profile
Let be the random differentiable density of the Integrated SuperBrownian Excursion arising as the scaling limit of the vertical profile of suitable conditioned r…