AN ANALYTICAL APPROACH TO FLUCTUATIONS IN SHOWERS

We review the problem of fluctuations in particle shower theory. By us ing a generalization of Furry equation, we find relations between the n-particle correlation function and the number of particles average or l-particle correlation function. Such relations show that the average is the only independent dynamical variable. We also develop a numeric al code to solve the equation for the correlation functions and compar e the results with those from a Monte Carlo simulation which show a pe rfect agreement between both methods. (C) 1997 Elsevier Science B.V.