L. S. Penrose FRS (1898–1972)

Lionel Sharples Penrose (1898-1972), MA,MD,DSc,FRCP,FRS.

( refereed ) L . S . Penrose ' s limit theorem : proof of some special cases . Ines Lindner and

LS Penrose was the first to propose a measure of voting power (which later came to be known as ‘the [absolute] Banzhaf index’). His limit theorem – which is implicit in Penrose (1952) and for which he gave no rigorous proof – says that, in simple weighted voting games, if the number of voters increases indefinitely while the quota is pegged at half the total weight, then – under certain conditi...

P.D.E.’s which Imply the Penrose Conjecture

In this paper, we show how to reduce the Penrose conjecture to the known Riemannian Penrose inequality case whenever certain geometrically motivated systems of equations can be solved. Whether or not these special systems of equations have general existence theories is therefore an important open problem. The key tool in our method is the derivation of a new identity which we call the generaliz...

Penrose Limit and String Quantization in Ads 3 × S

We consider corrections to the Penrose limit of AdS3×S with NS-NS flux which are due to the terms next to leading order in inverse radius expansion. The worldsheet theory of a lightcone string is interacting due to the presence of quartic terms in the action. Perturbative corrections to the spectrum are shown to agree with the results from the exact quantization in AdS3 × S. [email protected]...

Penrose ’ s limit theorem : proof of some special cases Ines

L.S. Penrose was the first to propose a measure of voting power (which later came to be known as ‘the [absolute] Banzhaf (Bz) index’). His limit theorem—which is implicit in his booklet (1952) and for which he gave no rigorous proof—says that in simple weighted voting games (WVGs), if the number of voters increases indefinitely while the quota is pegged at half the total weight, then— under cer...