Inverting the seesaw formula

Inverting the Seesaw Formula

Inverting the Sachs–Wolfe formula: an inverse problem arising in early-universe cosmology

The (ordinary) Sachs–Wolfe effect relates primordial matter perturbations to the temperature variations δT/T in the cosmic microwave background radiation; δT/T can be observed in all directions around us. A standard but idealised model of this effect leads to an infinite set of moment-like equations: the integral of P (k) j2 ` (ky) with respect to k (0 < k < ∞) is equal to a given constant, C`,...

PARAMETRIZATIONS OF THE SEESAW or CAN THE SEESAW BE TESTED?

This proceedings contains a review, followed by a more speculative discussion. I review different coordinate choices on the 21-dimensional parameter space of the seesaw, and which of these 21 quantities are observable. In MSUGRA, there is a 1-1 correspondance between the parameters, and the interactions of light (s)particles. However, not all of the 21 can be extracted from data, so the answer ...

Inverting the Furstenberg correspondence

Given a sequence of sets An ⊆ {0, . . . , n − 1}, the Furstenberg correspondence principle provides a shift-invariant measure on 2 that encodes combinatorial information about infinitely many of the An’s. Here it is shown that this process can be inverted, so that for any such measure, ergodic or not, there are finite sets whose combinatorial properties approximate it arbitarily well. The finit...

Inverting the organisational pyramid

In any healthcare institution, the most important people are patients and their families [1]. These people benefit from the services of the institution, pay for these services either directly or indirectly through third-party payers, and hence affect the marketing of the institution through expressions of satisfaction (or dissatisfaction) with the services. They also form a customer base for re...