论文标题
复杂的全平面SLE和LLE漂移的广义积分谱
Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
论文作者
论文摘要
我们为通过莱维过程驱动的两种全平面洛瓦纳的演变提供了复杂的广义积分谱系的新结果： - 具有连续轨迹的Lévy过程，与布朗驾驶函数中具有漂移项的Schramm-loewner Evolutions（SLE）相对应。在漂移存在下，访问标准积分频谱的自然路径通过引入复杂的广义积分谱系，该频谱通过所谓的liouville量子重力获得。 - 对称的Lévy过程，我们将Loutsenko和Yermolayeva的最新结果推广。
We present new results for the complex generalized integral means spectrum for two kinds of whole-plane Loewner evolutions driven by Lévy processes: - Lévy processes with continuous trajectories, which correspond to Schramm-Loewner evolutions (SLE) with a drift term in the Brownian driving function. A natural path to access the standard integral means spectrum in the presence of drift goes through the introduction of the complex generalized integral means spectrum, which is obtained via the so-called Liouville quantum gravity. -Symmetric Lévy processes for which we generalize recent results by Loutsenko and Yermolayeva.
