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Showing 1 to 2 of 2 for “"Loewner chain"”.

  1. Continuum Methods and Tightness Results for Non-Simple SLE and CLE: Existence, Interactions, and Metric Approximations

    … thesis presents results in the theory of Schramm-Loewner Evolution (SLE) and Conformal Loop Ensembles (CLE), which are random fractal structures describing scaling limits of interfaces in two-dimensional statistical physics models. In particular, we deal with the construction and interaction of …

    cambridge Repository record for Continuum Methods and Tightness Results for Non-Simple SLE and CLE: Existence, Interactions, and Metric Approximations (opens in a new tab)

  2. Generalised Loewner Evolutions and their driving measures

    In this thesis we study the interplay between Loewner chains and their driving measures. We prove three versions of a Loewner-Kufarev bijection between Loewner chains, i.e. normalised conformal maps f_t for t >= 0, defined on a fixed domain and whose images are continuously shrinking, and their …

    cambridge Repository record for Generalised Loewner Evolutions and their driving measures (opens in a new tab)