Contents of Volume 19, Number 1

All articles in this issue are freely accessible.

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Quaternionic plurisubharmonic functions and their applications to convexity

S. Alesker.
St. Petersburg Math. J. 19 (2008), 1-13
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MathSciNet review: 2319507

Using Rademacher permutations to reduce randomness

S. Artstein-Avidan and V. D. Milman.
St. Petersburg Math. J. 19 (2008), 15-31
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MathSciNet review: 2319508

Two counterexamples in low-dimensional length geometry

D. Burago, S. Ivanov and D. Shoenthal.
St. Petersburg Math. J. 19 (2008), 33-43
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MathSciNet review: 2319509

Dimensions of locally and asymptotically self-similar spaces

S. Buyalo and N. Lebedeva.
St. Petersburg Math. J. 19 (2008), 45-65
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MathSciNet review: 2319510

Hyperbolic dimension of metric spaces

S. Buyalo and V. Schroeder.
St. Petersburg Math. J. 19 (2008), 67-76
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MathSciNet review: 2319511

Uniform almost sub-Gaussian estimates for linear functionals on convex sets

B. Klartag.
St. Petersburg Math. J. 19 (2008), 77-106
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MathSciNet review: 2319512

Dimensions of products of hyperbolic spaces

N. Lebedeva.
St. Petersburg Math. J. 19 (2008), 107-124
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MathSciNet review: 2319513

On Tabachnikov’s conjecture

A. I. Nazarov and F. V. Petrov.
St. Petersburg Math. J. 19 (2008), 125-135
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MathSciNet review: 2319514

The space of isometry covariant tensor valuations

D. Hug, R. Schneider and R. Schuster.
St. Petersburg Math. J. 19 (2008), 137-158
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MathSciNet review: 2319515