edited by V Berdichevsky (Wayne State University, USA), V Jikov (Pedagogical University, Russia), & G Papanicolaou (Stanford University, USA)

This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics. This volume contains original contributions of leading world experts in the field.

• Serguei Kozlov — A Review of Scientific Contributions (A Beliaev & V Jikov)
• Critical Path Analysis of Transport in Highly Disordered Random Media (K M Golden & S M Kozlov)
• Multiscaled Homogenization (V V Jikov & S M Kozlov)
• The Effective Thermoconductivity and Shear Modulus of a Lattice Structure: An Asymptotic Analysis (S M Kozlov & G P Panasenko)
• Multiparametric Problems of Homogenization Theory (N S Bakhvalov & M E Eglit)
• Nonlinear Darcy Law in a Random Porous Medium (A Yu Beliaev)
• Distribution of Minimum Values of Weakly Stochastic Functionals (V Berdichevsky)
• Asymmetric Strain– Stress Distribution Function for Crystal with Random Point Defects (L Berlyand)
• Optimal Design for Uncertain Loading Condition (A Cherkaev & E Cherkaeva)
• Effective Properties of a Plane Two-Phase Elastic Composites: Coupled Bulk-Shear Moduli Bounds (L V Gibiansky)
• Homogenization of the Laplace Equation in a Partially Perforated Domain (W Jäger & A Mikelic)
• Control in the Coefficients of Linear Hyperbolic Equations via Spacio-Temporal Components (K A Lurie)
• Multiscale Averaging for Ordinary Differential Equations. Applications to the Spectral Theory of One-Dimensional Schrödinger Operator with Sparse Potentials (S A Molchanov)
• Remarks on an Estimate of Serguei Kozlov (U Mosco)
• Central Limit Theorem and Spectral Asymptotics for Nonlinear Stochastic Partial Differential Equation with Weak Nonlinearity (A L Piatnitski)