Utilizing the Lyapunov functional method and combining linear matrix inequality (LMI) techniques and integral inequality approach (IIA) to analyze the global asymptotic stability for delayed neural networks (DNNs),a new sufficient criterion ensuring the global stability of DNNs is obtained.The criteria are formulated in terms of a set of linear matrix inequalities,which can be checked efficient...

We prove that for non-branching metric measure spaces the local curvature condition CDloc(K, N) implies the global version of MCP(K, N). The curvature condition CD(K, N) introduced by the second author and also studied by Lott & Villani is the generalization to metric measure space of lower bounds on Ricci curvature together with upper bounds on the dimension. This paper is the following step o...

International efforts to provide global public goods often face the challenges of coordinating national contributions and distributing costs equitably in the face of uncertainty, inequality, and free-riding incentives. In an experimental setting, we distribute endowments unequally among a group of people who can reach a fixed target sum through successive money contributions, knowing that if th...

The article presents a multidimensional analysis of inequality, in a global perspective, distinguishing vital, existential, and material resources inequality. These dimensions are interrelated and interacting, but irreducible to each other, and have had different historical trajectories, within and between nations. Over the last half-century, the contrast between advances of existential equaliz...

Using a database of 1.4 million papers indexed by Web of Science, we examined the global trends in publication inequality and international collaboration in physics. The publication output and citations received by authors hosted in each country were taken into account. Although inequality decreased over time, further progress toward equality has somewhat abated in recent years. The skewedness ...

u j : RN ×R → C, ψ j0 : RN → C for j = 1, 2, . . . , m and ajk = akj are positive real numbers. Global existence for the Cauchy problem is established for a certain range of p. A sharp form of a vector-valued Gagliardo-Nirenberg inequality is deduced, which yields the minimal embedding constant for the inequality. Using this minimal embedding constant, global existence for small initial data is...

The results of new direct price level comparisons across 146 countries in 2005 have led to large revisions of PPP (purchasing power parity) exchanges rates, particularly for China and India. The recalculations of international and global inequalities, using the new PPPs, show that inequalities are substantially higher than previously thought. Inequality between global citizens is estimated at 7...

By employing the Lyapunov method and some inequality techniques, the global point dissipativity is studied for neural networks with both discrete time-varying delays and distributed time-varying delays. Simple sufficient conditions are given for checking the global point dissipativity of neural networks with mixed time-varying delays. The proposed linear matrix inequality approach is computatio...

in september 2015, the international community came together to agree on the 2030 agenda for sustainable development, a plan of action for people, the planet, and prosperity. ambitious and far-reaching as they are, they are built on three keystones: the elimination of extreme poverty, fighting climate change, and a commitment to fighting injustice and inequality. critical to the achievement of ...

I discuss the measurement of world poverty and inequality, with particular attention to the role of purchasing power parity (PPP) price indexes from the International Comparison Project. Global inequality increased with the latest revision of the ICP, and this reduced the global poverty line relative to the US dollar. The recent large increase of nearly half a billion poor people came from an i...