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 ...

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Atomic interactions in everyday solids and liquids are so complex that some of these materials’ properties continue to elude physicists’ understanding. Solving the problems mathematically is beyond ...

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 ...