When tropical cyclone Tracy (hereafter ‘Tracy’) crossed Darwin on Christmas Day 1974 it became one of Australia’s worst disasters, one that has become part of national folklore. The impact on Darwin changed people’s lives, sent some down lifetime career paths, and resulted in major changes in global insurance industry practices and coastal building codes. Yet Tracy was not a unique event for Da...

The Tracy-Widom distribution functions involve integrals of a Painlevé II function starting from positive infinity. In this paper, we express the Tracy-Widom distribution functions in terms of integrals starting from minus infinity. There are two consequences of these new representations. The first is the evaluation of the total integral of the Hastings-McLeod solution of the Painlevé II equati...

1. Progress in Therapeutics 3 Robert E. Stitzel and Joseph J. McPhillips 2. Mechanisms of Drug Action 10 William W. Fleming 3. Drug Absorption and Distribution 20 Timothy S. Tracy 4. Metabolism and Excretion of Drugs •• Timothy S. Tracy 5. Pharmacokinetics •• Timothy S. Tracy 6. Drug Metabolism and Disposition in Pediatric and Gerontological Stages of Life •• Jeane McCarthy 7. Principles of Tox...

Tropical cyclone Tracy (Tracy) remains one of the most destructive natural hazard events in Australia’s history. Growth in the population and size of Darwin since 1974 makes it desirable to know what impact an event similar to Tracy would have on the present day built environment. To assess the impacts in 1974 and the present day, we apply the Tropical Cyclone Risk Model (TCRM) developed at Geo...

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This is a survey of Harold Widom’s work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue and Craig Tracy’s groundbreaking results concerning distribution functions matrix theory, touch remarkable universality Tracy–Widom distributions mathematics physics, close Tracy asymmetric simple exclusion process.

The probability distribution for the free energy of directed polymers in random media (DPRM) with uncorrelated noise in d=1+1 dimensions satisfies the Tracy-Widom distribution. We inquire if and how this universal distribution is modified in the presence of spatially correlated noise. The width of the distribution scales as the DPRM length to an exponent β, in good (but not full) agreement with...