The economy is populated by a large number of infinitely lived agents. These agents are identical, and so we can effectively treat them as one. These agents consume, save in physical capital, and supply one unit of labor each period inelastically. Time runs from t = 0, . . . ,∞. The population at each point in time is Nt = (1+n) N0, with N0 given. Households get flow utility from consumption, C...

A transcendental entire function f is called geometrically finite if the intersection of the set S(f) of singular values with the Fatou set F(f) is compact and the intersection of the postsingular set P (f) with the Julia set J (f) is finite. (In particular, this includes all entire functions with finite postsingular set.) If f is geometrically finite, then F(f) is either empty or consists of t...

The amplitude Φ0, which has the units of an inverse length unit, quantifies the rel. PT signal of the particle. Thus, for small particles it scales with the volume, i.e. Φ0 ∝ R3. The maximum signal Φmax is obtained at z+ = [z0 − δpp] /2 while the minimum signal Φmin is obtained at z− = [z0 + δpp] /2 with the positive axial peak-to-peak distance δpp of the detection volume eqn (1) given as δ2 pp...

Impedance cardiography (ICG) is a branch of bioimpedance primarily concerned with the determination of left ventricular stroke volume (SV). As implemented, using the transthoracic approach, the technique involves applying a current field longitudinally across a segment of thorax by means of a constant magnitude, high frequency, low amplitude alternating current (AC). By Ohm’s Law, the voltage d...

Abstract. For complex numbers α, β and M ∈ R with 0 < M ≤ |α| and |β| ≤ 1, let B(α, β,M) be the class of analytic and univalent functions f in the unit disk D with f(0) = 0, f (0) = α and f (0) = Mβ satisfying |zf (z)| ≤ M , z ∈ D. Let P(α,M) be the another class of analytic and univalent functions in D with f(0) = 0, f (0) = α satisfying Re (zf (z)) > −M , z ∈ D, where α ∈ C \ {0}, 0 < M ≤ 1/ ...

We present a Monte Carlo (MC) study of W and Z0 production of longitudinally polarized proton collisions at a center of mass (CMS) energy of 500GeV. All results were obtained with the SPHINX MC code. We consider two different types of polarized parton distributions with large and small gluon polarization. Various spin asymmetries are found to be sensitive to the shape of the polarized gluon dis...

In this paper, we study holomorphic mappings from a piece of a real hyperquadric with positive signature into a hyperquadric in a complex space of larger dimension. We will prove that, unlike in the case of Heisenberg hypersurfaces (i.e. hyperquadrics with 0-signature), the maps possess strong super-rigidity properties. This phenomenon is somewhat analogous to that encountered in the study of h...

then the coadjoint orbits of SL (2,R) fall into three basic classes; according to whether the Casimir function B (Z,Z) = h + xy is positive, negative or zero.(Here Z ≡ x ∗X + h ∗H + y ∗ Y .) The nature of these orbits becomes a little clear if we adopt a basis for which B is diagonal, setting Z0 = X − Y Z2 = X + Y Z3 = H we find B (Z,Z) = −z 0 + z 2 + z 3 That is, the invariant bilinear form on...

Let T : J → J be an expanding rational map of the Riemann sphere acting on its Julia set J and f : J → R denote a Hölder continuous function satisfying f (x) > log |T ′(x)| for all x in J . Then for any point z0 in J define the set Dz0(f ) of ‘well-approximable’ points to be the set of points in J which lie in the Euclidean ball B ( y, exp ( − n−1 ∑ i=0 f (T y) )) for infinitely many pairs (y, ...

In the early 1980’s an elementary algorithm for computing conformal maps was discovered by R. Kühnau and the first author. The algorithm is fast and accurate, but convergence was not known. Given points z0, . . . , zn in the plane, the algorithm computes an explicit conformal map of the unit disk onto a region bounded by a Jordan curve γ with z0, . . . , zn ∈ γ. We prove convergence for Jordan ...