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Volume 109 - June 2024

Contents

Page 4 of 4

PhD Abstract

  • GEOMETRIC AND TOPOLOGICAL SHAPE ANALYSIS: INVESTIGATING AND SUMMARISING THE SHAPE OF DATA

  • YOSSI BOKOR BLEILE
  • Published online by Cambridge University Press:
    15 September 2023, pp. 168-169
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Research Article

  • ON THE EXPECTED UNIFORM ERROR OF BROWNIAN MOTION APPROXIMATED BY THE LÉVY–CIESIELSKI CONSTRUCTION

  • Part of:
  • BRUCE BROWN, MICHAEL GRIEBEL, FRANCES Y. KUO, IAN H. SLOAN
  • Published online by Cambridge University Press:
    24 August 2023, pp. 581-593
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  • The Brownian bridge or Lévy–Ciesielski construction of Brownian paths almost surely converges uniformly to the true Brownian path. We focus on the uniform error. In particular, we show constructively that at level N, at which there are $d=2^N$ points evaluated on the Brownian path, the uniform error and its square, and the uniform error of geometric Brownian motion, have upper bounds of order $\mathcal {O}(\sqrt {\ln d/d})$, matching the known orders. We apply the results to an option pricing example.

PhD Abstract

Correction

PhD Abstract

  • STOCHASTIC MATCHING MODELS

  • Part of:
  • BEHROOZ NIKNAMI
  • Published online by Cambridge University Press:
    12 December 2023, pp. 407-408
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Correction

Front Cover (OFC, IFC) and matter

  • BAZ volume 109 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    11 March 2024, pp. f1-f2
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Other

  • AUTHOR INDEX FOR VOLUME 109

  • Published online by Cambridge University Press:
    16 May 2024, pp. 596-600
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Front Cover (OFC, IFC) and matter

  • BAZ volume 109 issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    25 January 2024, pp. f1-f2
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  • BAZ volume 109 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    16 May 2024, pp. f1-f2
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Back Cover (OBC, IBC) and matter

  • BAZ volume 109 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    11 March 2024, pp. b1-b2
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  • BAZ volume 109 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    16 May 2024, pp. b1-b2
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  • BAZ volume 109 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    25 January 2024, pp. b1-b2
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Page 4 of 4