Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group $G$, there is a positive real number $C$ such that $\lambda_1(G,g)\operatorname{diam}(G,g)^2\leq C$ for all left-invariant ...

Let M be a finite von Neumann algebra with a faithful trace τ. In this paper we study metric geometry of homogeneous spaces O of the unitary group U of M, endowed with a Finsler quotient metric induced by the p-norms of ...

Let (X, d) be a compact metric space and f: X → X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let f̄: K(X) → K (X) be ...

Let (X, d) be a compact metric space and f: X → X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let f̄: K(X) → K (X) be ...

This research aims to identify and analyze the prominent Brazilian and international researchers in Information Metric Studies in Brazil, the proximity established among them from the Brazilian researchers' perspectives, ...

Objective: To identify the international scientific structure of the research on the use of natural language processing in the information metric studies area. Methods: It follows qualitative and quantitative approaches ...

This research aims to identify and analyze the prominent Brazilian and international researchers in Information Metric Studies in Brazil, the proximity established among them from the Brazilian researchers' perspectives, ...

This work concerns the invariant Lorentzian metrics on the Heisenberg Lie group of dimension three H3(R) and the bi-invariant metrics on the solvable Lie groups of dimension four. We start with the indecomposable Lie groups ...