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Reflection positive affine actions and stochastic processes

2016/01/25 by Palle E. T. Jørgensen, Jorgensen, P. E. T., K.-H. Neeb +3
Physics and Astronomy · Mathematics · #Quantum Mechanics and Applications #Advanced Thermodynamics and Statistical Mechanics #Markov Chains and Monte Carlo Methods

paper · pdf · doi:10.48550/arxiv.1601.06668

Abstract

In this note we continue our investigations of the representation theoretic aspects of reflection positivity, also called Osterwalder--Schrader positivity. We explain how this concept relates to affine isometric actions on real Hilbert spaces and how this is connected with Gaussian processes with stationary increments.

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