We develop transportation-entropy inequalities which are saturated by measures such that their log-density with respect to the background measure is an affine function, in setting of uniform on discrete hypercube and exponential measure. In this sense, extends well-known result Talagrand Gaussian case. By duality, these imply a strong integrability inequality for Bernoulli processes. As result,...

The radial surface deflection of a spherical Earth model appropriate to time scales characteristic of glacial loading is compared with the associated halfspace response. For that purpose the analytical solution for a Maxwell sphere surrounded by a thick elastic shell is derived under the assumption of incompressibility. The half-space approximation is deduced as a special case directly from the...