International audienceWe survey the Hilbert geometry of convex polytopes. In particular we present two important characterizations of these geometries, the first one in terms of the volume growth of their metric balls, the second one as a metric bilipschitzly equivalent to the Hilbert geometry in the simplex
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
International audienceWe survey the Hilbert geometry of convex polytopes. In particular we present t...
Abstract. We survey the Hilbert geometry of convex polytopes. In particular we present two important...
Abstract. We prove that the metric balls of a Hilbert geometry admit a volume growth at least polyno...
Hilbert geometry is a metric geometry that extends the hyperbolic Cayley-Klein geometry. In this vid...
Abstract. We prove that the Hilbert geometry of a product of convex sets is bi-lipschitz equivalent ...
Abstract. We prove in this paper that the Hilbert geometry associated with an open convex polygonal ...
Abstract. We prove in this paper that the Hilbert geometry associated with an open convex polygonal ...
International audienceWe show that the volume entropy of a Hilbert geometry on a convex body is exac...
We show that the volume entropy of a Hilbert geometry on a convex body is exactly twice the flag-app...
We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lip...
International audienceWe prove that the Hilbert geometry of a product of convex sets is bi-lipschitz...
: A smooth bounded convex domain equipped with its Hilbert metric provides a nice example of Finsler...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
International audienceWe survey the Hilbert geometry of convex polytopes. In particular we present t...
Abstract. We survey the Hilbert geometry of convex polytopes. In particular we present two important...
Abstract. We prove that the metric balls of a Hilbert geometry admit a volume growth at least polyno...
Hilbert geometry is a metric geometry that extends the hyperbolic Cayley-Klein geometry. In this vid...
Abstract. We prove that the Hilbert geometry of a product of convex sets is bi-lipschitz equivalent ...
Abstract. We prove in this paper that the Hilbert geometry associated with an open convex polygonal ...
Abstract. We prove in this paper that the Hilbert geometry associated with an open convex polygonal ...
International audienceWe show that the volume entropy of a Hilbert geometry on a convex body is exac...
We show that the volume entropy of a Hilbert geometry on a convex body is exactly twice the flag-app...
We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lip...
International audienceWe prove that the Hilbert geometry of a product of convex sets is bi-lipschitz...
: A smooth bounded convex domain equipped with its Hilbert metric provides a nice example of Finsler...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
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