Mathematics of multiscale materials

Scaling limit for the incipient spanning clusters.- Bounded and unbounded level lines in two-dimensional random fields.- Transversely isotropic poroelasticity arising from thin isotropic layers.- Bounds on the effective elastic properties of martensitic polycrystals.- Statistical models for fracture.- Normal and anomalous diffusions in random flows.- Calculating the mechanical properties of materials from interatomic forces.- Granular media: some new results.- Elastic freedom in cellular solids and composite materials.- Weakly nonlinear conductivity and flicker noise near percolation.- Fine properties of solutions to conductivity equations with applications to composites.- Composite sensors and actuators.- Bounding the effective yield behavior of mixtures.- Upper bounds on electrorheological properties.- On spatiotemporal patterns in composite reactive media.- Equilibrium shapes of islands in epitaxially strained solid films.- Numerical simulation of the effective elastic properties of a class of cell materials.