D. Florentin

activity

20132026

most citedDuality of Caustics in Minkowski Billiards

2 citations · 3 across the 15 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.FA2019

On the Linear Structures Induced by the Four Order Isomorphisms Acting on $Cvx_{0} (R^{n})$

Dan I. Florentin, Alexander Segal

It is known that the volume functional $ϕ \mapsto \int e^{- ϕ}$ satisfies certain concavity or convexity inequalities with respect to three of the four linear structures induced b…

math.FA2019

A Santaló-type Inequality for the $J$ Transform

Dan I. Florentin, Alexander Segal

This paper deals with an analog of the Mahler volume product related to the $J$ transform acting in the class of geometric convex functions $Cvx_{0} (R^{n})$ . We…

math.MG2019

Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane

M. Angeles Alfonseca, Michelle Cordier, Dan I. Florentin

Following Santaló's approach, we prove several characterizations of a disc among bodies of constant width, constant projections lengths, or constant section lengths on given famili…

On the Linear Structures Induced by the Four Order Isomorphisms Acting on Cvx0​(Rn)

A Santaló-type Inequality for the J Transform

Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane

On the Linear Structures Induced by the Four Order Isomorphisms Acting on $Cvx_{0} (R^{n})$

A Santaló-type Inequality for the $J$ Transform