Equations that have more than one unknown can have an infinite number of solutions. For example, \(2x + y = 10\) could be solved by: \(x = 1\) and \(y = 8\) \(x = 2\) and \(y = 6\) \(x = 3\) and \(y = ...

We investigate the large deviations of the shape of the random RSK Young diagrams associated with a random word of size n whose letters are independently drawn from an alphabet of size m = m(n). When ...

The characteristic functions satisfying (2) below are proved to be essentially the semi-stable laws. Auxiliary simultaneous integral equations are studied in Theorems 1, 2, 2' and 3. The final form of ...