Associate professor (Mathematics)
SUZUKI Kosuke

I conduct research on uniform sampling and its applications to numerical integration. For example, the point arrangement shown in Figure 1 may appear evenly distributed at first glance. However, since the x and y coordinates each take only four distinct values, it cannot be considered truly efficient sampling. By slightly rotating the lattice and arranging points as in Figure 2, the coordinate values become more dispersed, greatly improving the efficiency. This pattern is called a "Fibonacci lattice," whose high uniformity can be mathematically proven using the continued fraction expansion of Fibonacci numbers.

This field is fascinating because various theorems from pure mathematics can be applied to the concrete problem of uniform point distribution. Furthermore, uniform sampling in higher dimensions is known as "quasi-Monte Carlo methods," which are widely used in numerical simulations such as financial engineering and computer graphics.

My goal is to develop mathematically grounded and widely applicable sampling methods.

Related Links

• Associate professor SUZUKI Kosuke-- YU Researcher Directory
• Faculty of Science HP
• Japanese Edition