论文标题
自由自我参与投影的自由统一布朗运动产品的棕色量度的支持
Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection
论文作者
论文摘要
本文的第一部分致力于任意自由非负操作员的棕色量量量度。我们的方法遵循驾驶员洞kemp最近发起的一种方法，尽管分析方面存在很大的差异。特别是，相应的哈密顿系统是完全可解决的，描述棕色措施支持的特征曲线具有非恒定的（时间）参数。在第二部分中，我们通过自由的自我参与投影将自由统一布朗运动的产物专门研究，并获得对其支持的明确描述。
The first part of this paper is devoted to the Brown measure of the product of the free unitary Brownian motion by an arbitrary free non negative operator. Our approach follows the one recently initiated by Driver-Hall-Kemp though there are substantial differences at the analytical side. In particular, the corresponding Hamiltonian system is completely solvable and the characteristic curve describing the support of the Brown measure has a non-constant (in time) argument. In the second part, we specialize our findings to the product of the free unitary Brownian motion by a free self-adjoint projection and obtain an explicit description of its support.
