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The bulk of this work was done at the Institute of Mathematics, University of Stuttgart
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Bauer, H. On invariance principles with limit processes satisfying strong laws. Z. Wahrscheinlichkeitstheorie verw. Gebiete 58, 257–265 (1981). https://doi.org/10.1007/BF00531566
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DOI: https://doi.org/10.1007/BF00531566