Leonel Robert

collaborators

6 papers

math.PR2026

Bang--bang representation of $3 \times 3$ embeddable stochastic matrices

Leonel Robert

We prove that every embeddable $3 \times 3$ row-stochastic matrix is a product of at most seven elementary row-stochastic matrices. Frydman's example shows that this bound is sharp.…

math.OA2026

Selfless C-correspondences, operator valued C-probability spaces and completely positive maps

David Gao, Marius Junge, Srivatsav Kunnawalkam Elayavalli +2

We develop a general theory of selflessness for C*-correspondences, with several applications. Specializing this theory to completely positive maps, in particular to conditional ex…

math.OA2025

Selfless Inclusions of C*-Algebras

Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1

We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the s…

math.RA2025

Products of commutators in simple algebras

Matej BreÅ¡ar, Hau-Yuan Jang, Leonel Robert

Let $A$ be a finite-dimensional simple algebra that is not a field. We show that every $a \in A$ can be written as $a = (b c - c b) (d e - e d)$ for some $b, c, d, e \in A$ . This is not always tru…

math.OA2025

Selfless reduced free product $C^{*}$ -algebras

Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Leonel Robert

We study selflessness in the general setting of reduced free products of $C^{*}$ -algebras. Towards this end, we develop a suitable theory of rapid decay for filtrations in arbitrary…

math.MG2025

Decreasing paths of polygons

Isaac Kulp, Charlotte Ochanine, Logan Richard +2

We call a continuous path of polygons decreasing if the convex hulls of the polygons form a decreasing family of sets. For an arbitrary polygon of more than three vertices, we char…