Local Energy Planning Potentialities in Reducing São Paulo’s Inequalities

Reducing Inequalities in Health

Quantum Energy Inequalities and Local Covariance I: Globally Hyperbolic Spacetimes

We begin a systematic study of Quantum Energy Inequalities (QEIs) in relation to local covari-ance. We define notions of locally covariant QEIs of both 'absolute' and 'difference' types and show that existing QEIs satisfy these conditions. Local covariance permits us to place constraints on the renormalised stress-energy tensor in one spacetime using QEIs derived in another, in subregions where...

Quantum energy inequalities and local covariance II: Categorical formulation

We formulate Quantum Energy Inequalities (QEIs) in the framework of locally covariant quantum field theory developed by Brunetti, Fredenhagen and Verch, which is based on notions taken from category theory. This leads to a new viewpoint on the QEIs, and also to the identification of a new structural property of locally covariant quantum field theory, which we call Local Physical Equivalence. Co...

Inequalities for the Local Energy of Random Ising Models

We derive a rigorous lower bound on the average local energy for the Ising model with quenched randomness. The result is that the lower bound is given by the average local energy calculated in the absence of all interactions other than the one under consideration. The only condition for this statement to hold is that the distribution function of the random interaction under consideration is sym...

Eric Paulos Optimal Probing Strategies

Probing is a common operation employed to reduce the position uncertainty of objects. This paper demonstrates a technique for constructing provably near-optimal probing strategies for precisely localizing polygonal parts. This problem is shown to be dual to the well-studied grasping problem of computing optimal finger placements as defined by B. Mishra and others. A useful quality metric of any...