Nuclear & Statistical Physics
Spontaneous disintegration of an unstable atomic nucleus is the archetype of a random process in nature. Tests of nuclear processes for randomness have significant implications for the foundations of quantum mechanics as well as for practical matters involving encryption and quantum computation. Some of the researches undertaken include:
 Investigation of alpha, beta, and electroncapture decay processes of various radioactive nuclei to ascertain whether such processes do not occur completely randomly. One of the most comprehensive studies of this kind was the investigation of the beta decay of Sodium22. A time series of sodium disintegrations gives rise to an assortment of random variables in both the time and frequency domains the distributions of which independently test for nonrandomness of the decay process. Accord between experiment and theory based on the hypothesis of random decay was exquisite.
 In the books A Universe of Atoms, A Certain Uncertainty
 In response to published reports of radioactive decay processes exhibiting time variations with geophysical and/or astrophysical periodicities, I proposed new kinds of statistical tests of nuclear decay time series with the sensitivity to reveal an intrinsically periodic decay rate if such a phenomenon actually occurs in nature.

In the papers Search for NonStandard Radioactive Decay Based on Distribution of Activities, Europhysics Letters 110 (2015),
Effects of a Periodic Decay Rate on the Statistics of Radioactive Decay: New Methods to Search for Violations of the Law of Radioactive Change, Journal of Modern Physics 6 (2015) 1533–1553

In the papers Search for NonStandard Radioactive Decay Based on Distribution of Activities, Europhysics Letters 110 (2015),
 Besides investigations of nuclear processes, I have used statistics and statistical physics to elucidate numerous questions, some of serious scientific purpose and others simply amusing.
 Among the most scientifically significant of these investigations is the study of longterm variation in climate temperature by means of underground sensors arranged sequentially in depth. As an experimental configuration complementary to standard methods of groundbased, seabased, and satellitebased temperature measurements, the measurement of underground temperature at sufficient depth is sensitive only to seasonal periodicity and climate trends and independent of daily fluctuations due to weather.
 Other projects involved the study of
 Randomness of singlephoton polarisations
 Information content in data obtained from groups (“Wisdom of Crowds” phenomenon)
 Extent of predictive information in a time series of stock market data
 Statistics of residential electric energy usage
 Number of dovetailed shuffles to randomize a deck of cards.
 In the book A Certain Uncertainty