Mathematical Theory of Feynman Path Integrals: An by Sergio Albeverio,Rafael Høegh-Krohn,Sonia Mazzucchi

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

This monograph provides a brand new conception for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even supposing part of mathematical morphology, the specialproperties yield many straightforward, robust and illuminating resultsleading to a unique nonlinear multiresolution research with pulsesthat might be as normal to imaginative and prescient as wavelet research is toacoustics.

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

This ebook addresses new questions with regards to the asymptotic description of converging energies from the viewpoint of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and solid issues, elevating new questions and offering new options.

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 publication develops sleek tools and specifically the "generic chaining" to certain stochastic methods. This equipment permits specifically to get optimum bounds for Gaussian and Bernoulli techniques. functions are given to strong approaches, infinitely divisible approaches, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to sensible research.

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

This monograph bargains the reader a remedy of the idea of evolution PDEs with nonstandard development stipulations. This category contains parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We improve tools for the research of such equations and current a close account of contemporary effects.