The theory about missing links of economic growth often lags behind the empirical estimations of such links. A consensus has emerged that ethnic fractionalization has a negative impact on growth, also when controlled for income inequality. Often, although implicitly, the assumed channel is social cohesion. We analyse the effect of fractionalization on social cohesion with a different inequality...

A finite Hilbert transformation associated with a polynomial is the analogue of a Hilbert transformation associated with an entire function which is a generalization of the classical Hilbert transformation. The weighted Hilbert inequality, which has applications in analytic number theory, is closely related to the finite Hilbert transformation associated with a polynomial. In this note, we stud...

This paper combines “emerging twin peaks” distribution dynamics for percapita incomes across countries, with personal income distributions within countries over time. The result is a picture of worldwide income distribution dynamics across people. The paper finds that for determining world inequalities, the forces assuming first-order importance are those macroeconomic ones that determine cross...

The quotient space theory based on fuzzy tolerance relation is put forward to solve the problem of clustering in this paper. The similarity matrix does not always satisfy ultrametric inequality, theoretically and practically. We give the method to construct the hierarchical quotient space chain if the similarity matrix is only reflexive and symmetric. We consider not only the subset of data (cl...

The universal quantum work relation connects a functional of an arbitrary observable averaged over the forward process to the free-energy difference and another functional averaged over the time-reversed process. Here, we ask the question if the system is driven out of equilibrium by a different Hamiltonian rather than the original one during the forward process and similarly during the reverse...

ABSTRACT We show why convergence in mean income levels and the negative relation between growth poverty changes need not lead to proportionate across countries. propose an analytical framework that highlights depends on speed of relative a complex interaction initial inequality, levels, inequality dynamics. Our allows us investigate convergence, or lack thereof, under different plausible dynami...

Following a neo-structuralist perspective, this study presents development puzzle for Latin American countries (LACs): triangular relation amongst peripherality (increased terms-of-trade volatility and technological backwardness), income inequality, per-capita income. We employ simultaneous equation model using three-stage least squares (3SLS) to analyse relation. find that decrease in inequali...

Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the triangle inequality. However, there are several applications in which the triangle inequality does not hold but in which we may still like to perform analysis. This paper investigates what happens if the triangle inequality is removed all together, leaving wha...

Neutrino oscillations provide evidence for the mode entanglement of neutrino mass eigenstates in a given flavour eigenstate. Given this mode entanglement, it is pertinent to consider the relation between the oscillation probabilities and other quantum correlations. In this work, we show that all the well-known quantum correlations, such as the Bell’s inequality, are directly related to the neut...

In this note we give three short results concerning the elliptic Harnack inequality (EHI), in the context of random walks on graphs. The first is that the EHI implies polynomial growth of the number of points in balls, and the second that the EHI is equivalent to an annulus type Harnack inequality for Green’s functions. The third result uses the lamplighter group to give a counterexample concer...