Some Remarks on Oscillators Driven by a Random Force
Mark Kac · IRE Transactions on Circuit Theory · 1960
A brief and partly heuristic discussion of the problem of spacing of zeros of the displacement of an oscillator driven by a random force is given. Although no explicit results have been obtained, the problem is reduced to a study of a certain integral equation and equivalently, of a partial differential equation with a peculiar boundary condition. The boundary condition has previously been conjectured by Uhlenbeck and Wang.