This textbook is devoted to a compressed and self-contained exposition of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, proper…
This textbook is devoted to a compressed and self-contained exposition of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, proper…
The authors consider a d-dimensional random field u = \{u(t, x)\} that solves a non-linear system of stochastic wave equations in spatial dimensions k \in \{1,2,3\}, driven by a spatially homogeneous Gaussian noise that is white in time. They mainly consider the case where the s…
Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lowered by quasisymmetric deformations. Introduced by Pansu in 1989, this concept has proved extremely fruitful in a diverse range of areas, including geometric function theory, con…
