Mathematical Sciences: Abundance of Sinai-Bowen-Ruelle Measures for Non-Hyperbolic Diffeomorphisms

研究者建议在涉及携带Sinai-Bowen-Ruelle测度的吸引子存在的动力系统领域研究几个问题。研究了这些测度的遍历性质，并将其推广到具有不稳定流形的多维吸引子。应用于各种物理模型和几个计算机实验也打算。

The investigator proposes to work on several problems in the area of dynamical systems involving the existence of attractors carrying Sinai-Bowen-Ruelle measures. Investigations of ergodic properties of these measures are proposed along with the generalization to multi-dimensional attractors with unstable manifolds. Applications to a variety of physical models and several computer experiments are also intended.