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math.PR2023
Coupled bialgebras and Lions trees
William Salkeld
A Bialgebra is a module over a ring that is both an associative algebra and a co-associative coalgebra with the product and coproduct additionally satisfying an appropriate commuta…
math.PR2023★ 2 cited
Higher order Lions-Taylor expansions
William Salkeld
In this paper, we provide some of the necessary mathematics to describe higher order Lions-Taylor expansions. The Lions derivative of a functional on the Wasserstein space of measu…