Neuroimaging: Separating the Promise from the Pipe Dreams

On the Relationship between Pipe Dreams and Permutation Words

Pipe dreams represent permutations pictorially as a series of crossing pipes. Recent applications of pipe dreams include the calculation of Schubert polynomials, fillings of moon polyominoes, and in the combinatorics of antidiagonal simplicial complexes. These applications associate pipe dreams to words of elementary symmetric transpositions via a canonical mapping. However, this canonical mapp...

Duality of Antidiagonals and Pipe Dreams

The cohomology ring H(F ln) of the manifold of complete flags in a complex vector space C has a basis consisting of the Schubert classes [Xw], the cohomology classes of the Schubert varieties Xw indexed by permutations w ∈ Sn. The ring H (F ln) is naturally a quotient of a polynomial ring in n variables; nonetheless, there are natural n-variate polynomials, the Schubert polynomials, representin...

1 The Prevention of Child Abuse and Neglect Pipe Dreams or Possibilities ?

Pipe Dreams: Eternal Recurrence and Simulacrum and Foucault's Ekphrasis of Magritte

Complementarity of dream research and neuroimaging of sleep 15 Sophie

Introduction Sleep and dream research has recently been invigorated by the use of new methodologies, as well as by convergent data from complementary sources including neuroimaging studies of human sleep, clinical investigations of dreaming in braindamaged patients, and the analysis of phenomenological characteristics of dream reports. The aim of the present chapter is to show that dream report...