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We constructed the analytic Milnor fiber is a non-archimedean model of theclassical topological Milnor fibration. In the present paper, we describe thehomotopy type of the analytic Milnor fiber in terms of a strictly semi-stablemodel, and we show that its singular cohomology coincides with the weight zeropart of the mixed Hodge structure on the nearby cohomology. We give a similarexpression for Denef and Loeser's motivic Milnor fiber in terms of a strictlysemi-stable model.

Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology