Abstract. I will discuss the construction of determinantal point processes on the real line which have the interesting feature that they show number variance saturation. This means that the variance of the number of particles in an interval converges to a limiting value as the length of the interval goes to infinity. Number variance saturation is also seen for example in the zeros of the Riemann zeta-funtion and in quantum chaos, but these only serve as a motivation and I will not present any new results for these. The construction is based on non-intersecting Brownian paths.