Abstract
We review recent work based on extending the known relations between Markov processes and Markov semigroups to the case where time is replaced by hypersurfaces of codimension 1 and the state space is a group. Relations with gauge fields, Higgs fields and relativistic fields are also discussed.
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Albeverio, S., Høegh-Krohn, R., Holden, H. (1986). Random fields with values in Lie groups and Higgs fields. In: Albeverio, S., Casati, G., Merlini, D. (eds) Stochastic Processes in Classical and Quantum Systems. Lecture Notes in Physics, vol 262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171665_49
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DOI: https://doi.org/10.1007/3540171665_49
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