In this paper we will discuss the previously proposed quantity ν dyn [1], as a measure of the number-ratio fluctuations in high-energy particle-production. We will show that ν dyn has pleasing mathematical properties making it ideal for the purpose. We will demonstrate its relation to two-particle correlations and how this measure can be generalized to higher order correlations.
Studies of the event-by-event ratioThe most straight forward way to study number-ratio fluctuations would be to study the event-by-event distribution of the ratio, n m , where n is the number of particles of one species,