Abstract
We extend to an infinite-dimensional context the construction as well as the calculus of variations associated with Bernstein processes. We focus on the aspects which are relevant for the physical applications to two-dimensional quantum fields.
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Cruzeiro, A.B., Haba, Z., Zambrini, J.C. (1995). Bernstein Diffusions and Euclidean Quantum Field Theory. In: Bolthausen, E., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications. Progress in Probability, vol 36. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7026-9_6
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DOI: https://doi.org/10.1007/978-3-0348-7026-9_6
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