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Bringing forward the concept of convergence in moments from classical randomvariables to quantum random variables is what leads to what can be calledalgebraic central limit theorem for (classical and) quantum random variables. Ireflect in a very personal way how such an idea is typical for the spirit ofdoing research in mathematics as I learned it in Wilhelm von Waldenfels'sresearch group in Heidelberg.

Algebraic Central Limit Theorems: A Personal View on One of Wilhelm's Legacies -- To the Memory of Wilhelm von Waldenfels