Leadership research has traditionally explored the consequences of leadership behaviors while giving far less attention to understanding why leaders behave the way they do toward subordinates. Moreover, the few theoretical frameworks and studies that do address antecedents of leadership behavior have focused almost entirely on personality and other individual differences while largely overlooki...

We propose a new method to investigate the thermal properties of QCD with a small chemical potential (µ). The derivatives of the phase transition point with respect to µ are computed for 2 flavors of p4-improved staggered fermions. We moreover comment on the complex phase of the fermion determinant in finite-density QCD.

Symmetries of multi-anyon wavefunctions are analysed with the help of a second quantized formulation. Analogues of Slater determinants are constructed. It is shown that the Pauli principle is not enforced. e-mail address [email protected]

Submitted for the MAR11 Meeting of The American Physical Society Scaling of noise correlations in one-dimensional lattice hard-core boson systems KAI HE, MARCOS RIGOL, Department of Physics, Georgetown University — Noise correlations are studied for systems of hard-core bosons in onedimensional lattices. We use an exact numerical approach based on the Bose-Fermi mapping and properties of Slater...

A 2n-dimensional Lax integrable system is proposed by a set of specific spectral problems. It contains Takasaki equations, the self-dual Yang-Mills equations and its integrable hierarchy as examples. An explicit formulation of Darboux transformations is established for this Lax integrable system. The Vandermonde and generalized Cauchy determinant formulas lead to a description for deriving expl...

We study the map which sends a pair of real polynomials (f0, f1) into their Wronski determinant W (f0, f1). This map is closely related to a linear projection from a Grassmannian GR(m,m+ 2) to the real projective space RP . We show that the degree of this projection is ±u((m+1)/2) where u is the m-th Catalan number. One application of this result is to the problem of describing all real rationa...

We first extend properties of the Fuglede-Kadison determinant on a finite von Neumann algebra M to L p (M), any p > 0. Using this we give several useful variants of the noncommutative Szegö theorem for L p (M), including the one usually attributed to Kolmogorov and Krein. As applications, we generalize the noncommutative Jensen inequality, and generalize many of the classical results concerning...

Using Casorati determinants of Charlier polynomials (ca n )n , we construct for each finite set F of positive integers a sequence of polynomials cF n , n ∈ σF , which are eigenfunctions of a second order difference operator, where σF is certain infinite set of nonnegative integers, σF ( N. For suitable finite sets F (we call them admissible sets), we prove that the polynomials cF n , n ∈ σF , a...

In a previous article [20], we derived the alternating-sign matrix (ASM) theorem from the Izergin determinant [12, 17] for a partition function for square ice with domain wall boundary. Here we show that the same argument enumerates three other symmetry classes of alternating-sign matrices: VSASMs (vertically symmetric ASMs), even HTSASMs (half-turn-symmetric ASMs), and even QTSASMs (quartertur...