In this paper, we study two types of weighted Hardy–Littlewood–Sobolev (HLS) inequalities, also known as Stein–Weiss inequalities, on the Heisenberg group. More precisely, we prove the |u| weighted HLS inequality in Theorem 1.1 and the |z| weighted HLS inequality in Theorem 1.5 (where we have denoted u = (z, t) as points on the Heisenberg group). Then we provide regularity estimates of positive...

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Activation of the c-abl protooncogene occurs in Abelson murine leukemia virus, in Hardy-Zuckerman 2 feline sarcoma virus, and during the chromosomal translocations that generate BCR-ABL gene fusion products. To study the molecular mechanism involved in the c-abl activation, we have created a series of modifications in murine c-abl and assayed these constructs for oncogenic activity using the NI...

This article examines the processes through which civilian fear was turned into a practicable investigative object in the inter-war period and the opening stages of the Second World War, and how it was invested with significance at the level of science and of public policy. Its focus is on a single historical actor, Solly Zuckerman, and on his early war work for the Ministry of Home Security-fu...

We explicitly construct extractors for two independent n-bit sources of (log n) minentropy. Previous constructions required either polylog(n) min-entropy [CZ15, Mek15] or five sources [Coh16]. Our result extends the breakthrough result of Chattopadhyay and Zuckerman [CZ15] and uses the non-malleable extractor of Cohen [Coh16]. The main new ingredient in our construction is a somewhere-random co...

We present an explicit pseudorandom generator with seed length Õ((log n)w+1) for read-once, oblivious, width w branching programs that can read their input bits in any order. This improves upon the work of Impaggliazzo, Meka and Zuckerman (FOCS’12) where they required seed length n1/2+o(1). A central ingredient in our work is the following bound that we prove on the Fourier spectrum of branchin...

In weighted voting games, each agent has a weight, and a coalition of players is deemed to be winning if its weight meets or exceeds the given quota. An agent’s power in such games is usually measured by her Shapley value, which depends both on the agent’s weight and the quota. [Zuckerman et al., 2008] show that one can alter a player’s power significantly by modifying the quota, and investigat...

The utility of the dog as a mine detector has divided the mine clearance community since dogs were first used for this purpose during the Second World War. This paper adopts a historical perspective to investigate how, why, and to what consequence, the use of minedogs remains contested despite decades of research into their abilities. It explores the changing factors that have made it possible ...

As was shown in “Priorities in scientific discovery, ” the classic 1957 paper by Robert K. Merton, Department of Sociology, Columbia University, New York, peer recognition and, derivatively, more general recognition are central to the reward system and to intellectual property in science. 1 In discussing debyed recognition in a recent essay, we noted that the chance to receive the kind of accla...

In 1974 the DHSS issued circular HSC(lS)16, Organisation of Scientific and Technical Services, which provided an operational framework for the reorganised NHS and took into account some of the recommendations of the Zuckerman Report.1 Since 1974 there has been growing concern about the inadequacy of HSC(lS)16, and a few laboratories have experienced difficulties in trying to operate an effectiv...