A coin comes up heads five times in a row. Two accidents happen on the same train line in one day. Or a shuffled playlist plays you the same artist three times running. Sometimes it seems like something other than coincidence is at work, but true randomness may not always feel that way to us.....

In Hong Kong, the number of elderly citizens is estimated to rise to one third of the population, or around 2.37 million, by year 2037. As they age and become frailer, the demand for formal support services (e.g., providing domestic or elderly escort services) will increase significantly in the coming years. However, there is a severe lack of manpower to meet these needs. Some elderly-care homes reported a 70% shortage of employees. There is thus a strong need of voluntary or part-time helpers for taking care of the elderly...

There are math problems that are thoroughly incomprehensible to the layman – the Riemann hypothesis needs a fair amount of sophisticated math to explain, for example. And then there are those that even a ten-year-old could understand. The famous Twin Prime Conjecture is definitely in the latter category…

Minimal surfaces are amongst the most important objects studied in differential geometry...

In many problems in science and technology, we are able to collect measurements and are interested in inferring useful information about the system, say certain physical parameters that can cause the effect (the measurements). Such a problem is termed an inverse problem because it starts with the effects and then calculates the causes…

Mean field game (MFG) theory studies the strategies of agents of a large population in a competitive environment…

Kinetic equations are widely used in many important areas such as rarefied gas, plasma physics, astrophysics, and have also seen a host of new applications such as semiconductor device modeling, environmental, social and biological sciences…

The idea of the phase field method could be traced back to Lord Rayleigh, Josiah Willard Gibbs and Van der Waals. Since then, it has emerged as a powerful approach for modeling and predicting mesoscale morphological and microstructural evolution arising from many fields, such as biology, material sciences, image processing, multiphase fluid mechanics, chemical and petroleum engineering, etc…