Semi-classical limit of the Levy-Lieb functional in Density Functional Theory

In a recent work, Bindini and De Pascale have introduced a regularization of $N$-particle symmetric probabilities which preserves their one-particle marginals. In this short note, we extend their construction to mixed quantum fermionic states. This enables us to prove the convergence of the Levy-Lieb functional in Density Functional Theory , to the corresponding multi-marginal optimal transport in the semi-classical limit. Our result holds for mixed states of any particle number $N$, with or without spin.Comment: Final version to appear in Comptes rendus de l'Acad{\'e}mie des Sciences, Math{\'e}matique

Digital decoder for phase-delay coded data

Coded or modulated digital data converts to nonreturn to zero /NRZ/ data. Technique includes logic implementation and pertinent timing diagrams. Demodulation to NRZ facilitates digital logic operations on incoming data. Phase-delay modulation has advantage of inherent self-timing not present in NRZ modulation

Market-induced Asset Specificity: Redefining the Hold-up Problem

In a standard hold-up problem, individuals are vulnerable to hold-up because it is impossible to write complete contracts to cover the lifespan of relationship-specific investments. Hold-up occurs only when investments are to some degree nongeneric, and the extent of the problem increases with the time-span over which an investment must pay off, since long-term contracts are more difficult to write than short-term contracts. This result appears inconsistent with the real life experience of contract suppliers in two respects. First, suppliers often consider themselves "vulnerable" to hold-up even when investments are generic. Second, such a sense of vulnerability is often greatest precisely when assets are short-lived rather than long-lived. This paper provides a model that solves this apparent paradox by looking beyond the isolated problem of bilateral monopoly to the market context in which contracting takes place. We then find that the very meaning of asset specificity comes into question

On-line condition monitoring of transition assets

There are a number of medium voltage (MV) power distribution cable networks worldwide that are constructed predominantly of mass impregnated paper cables - London being one of these. Paper insulated lead covered (PILC) cables were extensively laid in the 50s and 60s before the introduction of cheaper polymeric alternatives that were sufficiently reliable. The current operational state of these networks has shown a gradual increase in failure rates of the previously reliable paper cables that are drawing to the end of their expected design life. Utilities are faced with the prospect of the impending failure of large sections of their prized asset and are keen to develop tools to better understand the health of their hardware. The analysis of partial discharge (PD) signals produced by the cables has been identified as a economically viable option to provide continuous condition monitoring of PILC cable circuits. Clearly, a comprehensive understanding of how PD activity relates to the various failure mechanisms exhibited by cable circuits in the field is required. A recently published technique for PD source discrimination was coupled with an understanding of the experiment and applied to the experiment data to isolate the signals specific to each degradation mechanism [1]. This technique has been applied to both rotation machines and transformer systems with promising results. PD signal discrimination is seen as the first step towards an autonomous condition monitoring futur