Upper and Lower Bounds for Stochastic Processes: Modern by Michel Talagrand

Nonlinear Smoothing and Multiresolution Analysis: 150 (International Series of Numerical Mathematics)

This monograph offers a brand new conception for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even if part of mathematical morphology, the specialproperties yield many easy, strong and illuminating resultsleading to a unique nonlinear multiresolution research with pulsesthat should be as ordinary to imaginative and prescient as wavelet research is toacoustics.

Local Minimization, Variational Evolution and Γ-Convergence (Lecture Notes in Mathematics)

This e-book addresses new questions on the topic of the asymptotic description of converging energies from the perspective of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and sturdy issues, elevating new questions and providing new ideas.

Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

The booklet develops sleek equipment and specifically the "generic chaining" to sure stochastic tactics. This equipment permits particularly to get optimum bounds for Gaussian and Bernoulli procedures. purposes are given to solid strategies, infinitely divisible tactics, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to practical research.

Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up (Atlantis Studies in Differential Equations)

This monograph deals the reader a remedy of the speculation of evolution PDEs with nonstandard development stipulations. This classification comprises parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We strengthen tools for the research of such equations and current an in depth account of modern effects.