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The Analysis of Linear Partial Differential Operators I
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The Convenient Setting of Global Analysis
Andreas Kriegl,Peter W. Michor +1 more
TL;DR: Calculus of smooth mappings Calculus of holomorphic and real analytic mappings Partitions of unity Smoothly real compact spaces Extensions and liftings of mappings Infinite dimensional manifolds Calculus on infinite dimensional manifold, infinite dimensional differential geometry Manifolds of Mappings Further applications References as mentioned in this paper.
Journal ArticleDOI
Shape fluctuations and random matrices
TL;DR: In this article, the authors studied a random growth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process and showed that the shape fluctuations, appropriately scaled, converges in distribution to the Tracy-Widom largest eigenvalue distribution for the Gaussian Unitary Ensemble (GUE).
Journal ArticleDOI
Shape Fluctuations and Random Matrices
TL;DR: In this article, the authors studied a random Groeth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process and showed that shape fluctuations, appropriately scaled, converges in distribution to the Tracy-Widom largest eigenvalue distribution for the Gaussian Unitary Ensemble.
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Uniform Central Limit Theorems
TL;DR: In this paper, Donsker's theorem, metric entropy and inequalities, and the universal and uniform central limit theorems are discussed. But they do not consider the two-sample case, the bootstrap case, and confidence sets.
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Kernels for Vector-Valued Functions: A Review
TL;DR: This monograph reviews different methods to design or learn valid kernel functions for multiple outputs, paying particular attention to the connection between probabilistic and functional methods.