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, . . . . .

In this paper, they describe the combined approach of Car and Parrinello to determine the simultaneous “on-the-fly” evolution of the (Newtonian) nuclear degrees of freedom and of the electronic wavef . . . . .

The first dwarf galaxies, which constitute the building blocks of the collapsed objects we find today in the Universe, had formed hundreds of millions of years after the big bang. This pedagogical rev . . . . .