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After a brief introduction to quasinormal modes in dissipative systems, wereview the WKB formalism in the context of the analytical calculation ofquasinormal frequencies. We apply these results to the calculation ofquasinormal frequencies associated with gravitational perturbations ofd-dimensional spherically symmetric black holes with string corrections. We dothis for two distinct limits: the eikonal limit and the asymptotic limit.

WKB method and quasinormal modes of string-theoretical d-dimensional black holes