3 papers
math.MG2023
The Legendre transform, the Laplace transform and valuations
Jin Li
We first prove that the Legendre transform is the only continuous and contravariant valuation that behaves as a conjugation of two important translations on super-…
math.MG2018
Laplace transforms and valuations
Jin Li, Dan Ma
It is proved that the classical Laplace transform is a continuous valuation which is positively GL covariant and logarithmic translation covariant. Conversely, these propertie…
math.MG2018
Minkowski Valuations on polytopes
Jin Li, Gangsong Leng
For , Ludwig, Haberl and Parapatits classified Minkowski valuations intertwining the special linear group with additional conditions such as homogeneity an…