Abstract. If X is a geodesic metric space and 𝑥₁, 𝑥₂, 𝑥₃ ∈ 𝑋, a geodesic triangle 𝑇 = {𝑥₁, 𝑥₂, 𝑥₃} is the union of the three geodesics [𝑥₁𝑥₂], [𝑥₂𝑥₃] and [𝑥₃𝑥₁] in 𝑋. The space 𝑋 is ...

Unlock the full InfoQ experience by logging in! Stay updated with your favorite authors and topics, engage with content, and download exclusive resources. Ramya Krishnamoorthy shares a detailed case ...

Abstract We prove that λ𝑔 ↦ 𝑒⁻𝑡|𝑔|𝑟 λ𝑔 defines a multiplier on the von Neuman algebra of hyperbolic groups with a complete bound ≃ 𝑟, for any 0 < 𝑡 < ∞, 1 < 𝑟 < ∞. In the proof we observe ...

Hyperbolic metamaterials (HMMs), which have an extremely high anisotropy with a hyperbolic dispersion relation, are rising as an innovative method of manipulating light. HMMs have received tremendous ...