This is a series of 4 papers on the different behaviour between electrons and holes in solid state physics:
1) http://arxiv.org/abs/0901.3612;

Contents:introduction; quantum monte carlo methods; nodal properties of fermionic wave functions; Pfaffian pairing wave functions; Backflow correlations in slater and pfaffian wave functions; example . . . . .

These are introductory lectures to some aspects of the physics of strongly correlated electron systems. I first explain the main reasons for strong correlations in several classes of materials. The ba . . . . .

Contents:Matrix Eigenvalue Methods; Double Bracket Isospectral Flows; Singular Value Decomposition; Linear Programming; Approximation and Control; Balanced Matrix Factorizations; Invariant Theory and . . . . .

The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to suc . . . . .

Contents: Probability; Random Variables, Distribution Functions, and Expectation; Special Parametric Families of Univariate Distributions; Joint and Conditional Distributions, Stochastic Independence, . . . . .