The light-tailed ballistic deposition universality conjecture

A deposition process is a mixture of random deposition (RD) and ballistic deposition (BD), with a fixed positive amount of BD, and its block heights have light-tailed distributions. Universality conjecture. Any such deposition process should belong to the Kardar–Parisi–Zhang (KPZ) universality class. This conjecture proposes that an arbitrarily small but fixed ballistic-deposition component determines the scaling behavior for light-tailed block heights, extending the paper's result that any fixed amount of BD suffices in the heavy-tailed setting.

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Primary source

Francis Comets, Joseba Dalmau and Santiago Saglietti, “Scaling limit of the heavy-tailed ballistic deposition model with p-sticking”, arXiv:2203.06133 (2022).

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