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We investigate the crossed Josephson effect in a geometry consisting of adouble ferromagnetic bridge between two superconductors, with tunnelinterfaces. The crossed Josephson current vanishes on average because theAndreev reflected hole does not follow the same sequence of impurities as theincoming electron. We show that i) the root mean square of the crossedJosephson current distribution is proportional to the square root of thejunction area; and ii) the coherent coupling mediated by fluctuations is ``longrange'' since it decays over the ferromagnet phase coherence length $l_\phi$,larger than the exchange length. We predict a crossed Josephson current due tofluctuations if the length of the ferromagnets is smaller than $l_\phi$ andlarger than the exchange length $\xi_h$.Comment: 8 pages, 3 figures, modifications in the presentatio

Long-range statistical fluctuations of the crossed Josephson current