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Local times on curves and uniform invariance principles
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  • Published: December 1992

Local times on curves and uniform invariance principles

  • Richard F. Bass1 &
  • Davar Khoshnevisan1 

Probability Theory and Related Fields volume 92, pages 465–492 (1992)Cite this article

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  • 19 Citations

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Summary

Sufficient conditions are given for a family of local times |L µt | ofd-dimensional Brownian motion to be jointly continuous as a function oft and μ. Then invariance principles are given for the weak convergence of local times of lattice valued random walks to the local times of Brownian motion, uniformly over a large family of measures. Applications included some new results for intersection local times for Brownian motions on ℝ2 and ℝ2.

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98195, Seattle, WA, USA

    Richard F. Bass & Davar Khoshnevisan

Authors
  1. Richard F. Bass
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  2. Davar Khoshnevisan
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Additional information

Research partially supported by NSF grant DMS-8822053

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Cite this article

Bass, R.F., Khoshnevisan, D. Local times on curves and uniform invariance principles. Probab. Th. Rel. Fields 92, 465–492 (1992). https://doi.org/10.1007/BF01274264

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  • Received: 23 May 1991

  • Revised: 18 November 1991

  • Issue Date: December 1992

  • DOI: https://doi.org/10.1007/BF01274264

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  • 60J55
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