144 citations · 1.1k across the 203 of their papers we have counts for
19 papers · 1 filter
White Noise Space Analysis and Multiplicative Change of Measures
Daniel Alpay, Palle Jorgensen, Motke Porat
In this paper we display a family of Gaussian processes, with explicit formulas and transforms. This is presented with the use of duality tools in such a way that the corresponding…
Reflection negative kernels and fractional Brownian motion
P. Jorgensen, K. -H. Neeb, G. Olafsson
In this article we study the connection of fractional Brownian motion, representation theory and reflection positivity in quantum physics. We introduce and study reflection positiv…
Reflection positive affine actions and stochastic processes
P. E. T. Jorgensen, K-H. Neeb, G. Olafsson
In this note we continue our investigations of the representation theoretic aspects of reflection positivity, also called Osterwalder--Schrader positivity. We explain how this conc…
Reflection Positive Stochastic Processes Indexed by Lie Groups
Palle E. T. Jorgensen, Karl-Hermann Neeb, Gestur Olafsson
Reflection positivity originates from one of the Osterwalder-Schrader axioms for constructive quantum field theory. It serves as a bridge between euclidean and relativistic quantum…
Large matrices and Virasoro Conjecture
Da Xu, Palle Jorgensen
In this paper, we first review one of difficult parts of the proof of Witten's conjecture by Kontsevich that had not been emphasized before. In the derivation of the KdV equations,…
Analysis of unbounded operators and random motion
Palle E. T. Jorgensen
We study infinite weighted graphs with view to \textquotedblleft limits at infinity,\textquotedblright or boundaries at infinity. Examples of such weighted graphs arise in infinite…