嘲笑
发表于 2025-3-28 14:43:19
Unfulfilled DreamsWe state a number of daring conjectures concerning the boundedness of random series of functions with non-negative summands are the special setting of selector processes.
执
发表于 2025-3-28 20:13:34
Empirical Processes, IIWe provide a sample of the deep methods used to bound empirical processes by proving two recent results.
厌恶
发表于 2025-3-28 22:53:47
Gaussian ChaosWe study order 2 Gaussian chaos and the tails of higher-order chaos.
分解
发表于 2025-3-29 05:49:03
Convergence of Orthogonal Series: Majorizing MeasuresWe study order 2 Gaussian chaos and the tails of higher-order chaos.
Militia
发表于 2025-3-29 10:41:18
Michel TalagrandPresents complete proofs of deep results in probability.Provides essential tools and methods.Discusses a number of classical problems and fundamental open questions
reperfusion
发表于 2025-3-29 12:29:43
Random Fourier Series and Trigonometric Sumst conditions take the form of a smallness condition of the underlying compact group for such a family of distances. We prove our first decomposition theorems. In words, one of these theorems states that if a random Fourier series converges a.s., it can be decomposed in the sum of three random Fourier series, each of which converges a.s.
POINT
发表于 2025-3-29 19:12:10
Bernoulli Processess already bounded. Second, it may happen that the sum of the absolute values of the coefficients of the random signs is already bounded. We state the Bernoulli conjecture, which asserts that every situation is a combination of these.
comely
发表于 2025-3-29 21:23:19
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flourish
发表于 2025-3-30 03:04:44
Gaussian Processes and the Generic Chainingistance which suitably controls the increments of the process. We describe the generic chaining and the construction of suitable sequences of partitions in metric spaces, the characterization of sample boundedness of Gaussian processes, and the size of ellipsoids in Hilbert spaces.
丰满有漂亮
发表于 2025-3-30 06:35:45
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