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We show a new functional limit theorem for weakly dependent regularly varyingsequences of random vectors. As it turns out, the convergence takes place inthe space of R^d valued c\`{a}dl\`{a}g functions endowed with the so-calledweak M1 topology. The theory is illustrated on two examples. In particular, wedemonstrate why such an extension of Skorohod's M1 topology is actuallynecessary for the limit theorem to hold.

A Multivariate Functional Limit Theorem in Weak M1 Topology