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Infinite dimensional integrals beyond Monte Carlo methods: yet another approach to normalized infinite dimensional integrals

Mathematical Physics 2015-06-05 v1 math.MP Probability

Abstract

An approach to (normalized) infinite dimensional integrals, including normalized oscillatory integrals, through a sequence of evaluations in the spirit of the Monte Carlo method for probability measures is proposed. in this approach the normalization through the partition function is included in the definition. For suitable sequences of evaluations, the ("classical") expectation values of cylinder functions are recovered

Keywords

Cite

@article{arxiv.1206.3708,
  title  = {Infinite dimensional integrals beyond Monte Carlo methods: yet another approach to normalized infinite dimensional integrals},
  author = {Jean-Pierre Magnot},
  journal= {arXiv preprint arXiv:1206.3708},
  year   = {2015}
}

Comments

Submitted as a communication in the ICMSQUARE conference, september 2012

R2 v1 2026-06-21T21:20:37.708Z