Blar i Department of Mathematics på forfatter "Frolova, Anastasia"
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Analytical, combinatorial and topological properties of quadratic differentials and their applications
Frolova, Anastasia (Doctoral thesis, 2017-12-13)Quadratic differentials first appeared in 1930s in works of Teichmuller in connection with moduli problem for Riemann surfaces. Later it was revealed that quadratic differ- entials and their trajectories give solutions to ... -
Combinatorial description of jumps in spectral networks.
Frolova, Anastasia; Vasil'ev, Alexander (Peer reviewed; Journal article, 2017)We describe a graph parametrization of rational quadratic differen- tials with presence of a simple pole, whose critical trajectories form a network depending on parameters focusing on the network topological jumps. Obtained ... -
Critical Measures and Parameter Space of Jenkins-Strebel Quadratic Differentials
Frolova, Anastasia (Master thesis, 2012-05-07)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 ...