Introduction, Exemples -- Topologies sur les domaines de ?N -- Continuité par rapport au domaine -- Existence de formes optimales -- Dérivation par rapport au domaine -- Propriétés géométriques de l’optimum -- Relaxation, homogénéisation.Ce livre est une initiation aux approches modernes de l’optimisation mathématique de formes. Il s’appuie sur les seules connaissances de premiè…
Geostatistics -- The genesis of geostatistics in gold and diamond industries -- Concepts and Methods of Geostatistics -- Prediction by conditional simulation: models and algorithms -- Flow in porous media: An attempt to outline Georges Matheron’s contributions -- Over Thirty Years of Petroleum Geostatistics -- The expansion of environmental geostatistics -- Random Sets -- Random Closed Sets -…
Processus de Lévy: R.A. Doney: Tanaka's construction for random walks and Lévy processes -- R.A. Doney: Some excursion calculations for spectrally one-sided Lévy processes -- A.E. Kyprianou, Z. Palmowski: A martingale review of some fluctuation theory for spectrally megative Lévy processes -- M.R. Pistorius: A potential-theoretical review of some exit problems of spectrally negative Lévy p…
Bounded Imaginary Powers and H?-Calculus of the Stokes Operator in Unbounded Domains -- Exact Estimates of Solutions to the Robin Boundary Value Problem for Elliptic Non-divergent Second-order Equations in a Neighborhood of the Boundary Conical Point -- Well-posedness of a Two-phase Flow with Soluble Surfactant -- Resolvent Differences for General Obstacles -- Special Finite Time Extinction in …
Overview and Basic Facts -- Gaussian Processes and Related Structures -- Matching Theorems -- The Bernoulli Conjecture -- Families of distances -- Applications to Banach Space Theory.Author's Note: The material of this book has been reworked and expanded with a lot more detail and published in the author's 2014 book "Upper and Lower Bounds for Stochastic Processes" (Ergebnisse Vol. 60, ISBN 978…
Frobenius Splitting: General Theory -- Frobenius Splitting of Schubert Varieties -- Cohomology and Geometry of Schubert Varieties -- Canonical Splitting and Good Filtration -- Cotangent Bundles of Flag Varieties -- Equivariant Embeddings of Reductive Groups -- Hilbert Schemes of Points on Surfaces.The theory of Frobenius splittings has made a significant impact in the study of the geometry of f…
One-Layer Free Boundary Problems with Two Free Boundaries -- New Numerical Solutions for the Brezis-Nirenberg Problem on $$\mathbb{S}^n $$ -- On some Boundary Value Problems for Incompressible Viscous Flows with Shear Dependent Viscosity -- Radiative Heat Transfer in Silicon Purification -- A Decay Result for a Quasilinear Parabolic System -- The Shape of Charged Drops: Symmetrybreaking Bifurc…
Ways of the Hands -- A Design Theme for Tangible Interaction: Embodied Facilitation -- Supporting High Coupling and User-Interface Flexibility -- A Groupware Design Framework for Loosely Coupled Workgroups -- Formally Analyzing Two-User Centralized and Replicated Architectures -- Working Together Inside an Emailbox -- Emergent Temporal Behaviour and Collaborative Work -- Managing Currents of Wo…
Monumental Dams -- Approach of Mechanical Behaviour and Rupture of Cohesive Granular Media. Validation on a Model Medium -- Phase Change of Volatile Organic Compounds in Soil Remediation Processes -- Thermo-mechanical Behaviour of a Soil. Yield Surface Evolution -- Water Transport in Soil with Phase Change -- Tunnels in Saturated Elasto-plastic Soils: Three-dimensional Validation of a Plane Sim…
Theoretical Models for Photonic Crystals -- to Part I -- Models for Infinite Crystals -- Models for Finite Crystals -- Quasi-Crystals and Archimedean Tilings -- Specific Features of Metallic Structures -- Optical Properties of Photonic Crystals -- to Part II. The Many ‘Facets’ of Photonic Crystals -- Control of Electromagnetic Waves -- Refractive Properties -- Confinement of Light in Zero-D…