ASYMPTOTIC SINGULAR WINDINGS OF ERGODIC DIFFUSIONS

Let M be a complete connected oriented Riemannian manifold of dimensio n n greater than or equal to 3; let X be a symmetrizable ergodic diffu sion on M; let L be an oriented compact submanifold of M, of codimensi on 2; let N-t be the linking number between L and X[0, t]; then t(-1) N-t converges in law towards a Cauchy variable, whose parameter is cal culated; this result is extended mainly to the stochastic bridge, to t he finite marginals of the processes (X(rt), t(-1) N-rt) and to the in tegral along X [0, t] of omega is an element of H-1(M\L)/H-1(M).