Critical Measures and Parameter Space of Jenkins-Strebel Quadratic Differentials
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The thesis is devoted to applications of the theory of quadratic differentials to the problems of construction of critical measures, that provide critical values of the logarithmic energy of a charge system on the complex plane. We observe the properties of supports of such measures. We consider the problem of describing parameter space of Jenkins-Strebel differentials, which is related to the problem of describing critical measures.