Homogenization: In Memory of Serguei Kozlov

This volume is devoted to exact solutions of models of strongly correlated electrons in one spatial dimension by means of the Bethe Ansatz. Models examined include: the one-dimensional Hubbard model; the supersymmetric t-J model; and other models of strongly correlated electrons Critical path analysis of transport in highly disordered random media / K.M. Golden and S.M. Kozlov -- Multiscaled homogenization / V.V. Jikov and S.M. Kozlov -- Effective thermoconductivity and shear modulus of a lattice structure: an asymptotic and analysis / S.M. Kozlov abd G.P. Panasenko -- Multiparametric problems of homogenization theory / N.S. Bakhvalov and M.E. Eglit -- Non-linear darcy law in a random porous medium / A. Yu Beliaev -- Distribution of minimum values of weakly stochastic functionals / V. Berdichevsky -- Asymmetric strain-stress distributiomn function for crystal with random point defects / L. Berlyand -- Optimal design for uncertain loading condition / A. Cherkaev and 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. JaМ€ger and A. MikelicМЃ -- 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 SchroМ€dinger 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