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This volume collects selected papers from the Tenth High Dimensional Probability conference, held from June 12 to 16, 2023 in Bedlewo, 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.
List of contents
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 Klartag s 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.
Summary
This volume collects selected papers from the Tenth High Dimensional Probability conference, held from June 12 to 16, 2023 in Będlewo, 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.
