A short proof of a strong form of the three dimensional Gaussian product inequality
Ronan Herry, Dominique Malicet, Guillaume Poly
Abstract
We prove a strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or computer-assisted methods, and allows us to solve the case of any triple of even positive integers which remained open so far.
Topics & Concepts
Mathematical proofProduct (mathematics)GaussianConjectureMathematicsDimension (graph theory)Proof of conceptGaussian measureCombinatorial proofGaussian eliminationCombinatoricsDiscrete mathematicsPure mathematicsCalculus (dental)Computer sciencePhysicsGeometryQuantum mechanicsDentistryMedicineOperating systemPoint processes and geometric inequalitiesLimits and Structures in Graph TheoryBayesian Methods and Mixture Models