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E-raamat: High Dimensional Probability X: The Bedlewo Volume

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  • Formaat: PDF+DRM
  • Sari: Progress in Probability
  • Ilmumisaeg: 31-Mar-2026
  • Kirjastus: Birkhauser
  • Keel: eng
  • ISBN-13: 9783032060570
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  • Formaat: PDF+DRM
  • Sari: Progress in Probability
  • Ilmumisaeg: 31-Mar-2026
  • Kirjastus: Birkhauser
  • Keel: eng
  • ISBN-13: 9783032060570
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This volume collects selected papers from the Tenth High Dimensional Probability conference, held from June 12 to 16, 2023 in Bdlewo, Poland. These papers cover a wide range of topics and demonstrate how high-dimensional probability remains an active area of research with applications across many mathematical disciplines. Topics covered include:







The Gram-Schmidt walk algorithm; Variance bounds; Random interlacements; Contraction theorems on the half-space.



High Dimensional Probability X will be a valuable resource for researchers in this area.
Chapter 1 Optimal constants in concentration inequalities on the sphere
and in the Gauss space.
Chapter 2 Some remarks on the Gram-Schmidt walk
algorithm and consequences for Komlos conjecture.
Chapter 3 Some notes on
moment inequalities for heavy-tailed distributions.
Chapter 4 Stability of
Klartags improved Lichnerowicz inequality.
Chapter 5 Variance bounds: some
old and some new.
Chapter 6 Some obstructions to contraction theorems on the
half-sphere.
Chapter 7 Dimension-free comparison estimates for suprema of
some canonical processes.
Chapter 8 Sharp phase transitions in Euclidean
integral geometry.
Chapter 9 Fourier analytic bounds for Zolotarev
distances, and applications to empirical measures.
Chapter 10 A note on the
fluctuations of the resolvent traces of a tensor model of sample covariance
matrices.
Chapter 11 New Berry-Esseen bounds for random sums of centered
random variables.
Chapter 12 The large and moderate deviations approach in
geometric functional.
Chapter 13 Random interlacements: the discontinuous
case.
Chapter 14 Local moduli of continuity for permanental processes that
are zero at zero.
Chapter 15 Estimation of trace functionals and spectral
measures of covariance operators in Gaussian models.
Chapter 16 Higher-order
perturbation expansions for eigenvalues and eigenprojections I: simple
eigenvalues and random perturbations.