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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse problem for the harmonic measure
谐波测量 反问题 双曲群
2023/4/17
Sample paths of a random walk on a hyperbolic group are known to converge to the Gromov boundary. The distribution of the exit point is called the harmonic measure. I will discuss the following invers...
Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators
Absolutely continuous spectrum Schr¨odinger operator
2011/2/22
We observe that some special Itˆo diffusions are related to scattering properties of a Schr¨odinger operator on Rd, d 2. We introduce Feynman-Kac type formulae for these stochastic processes wh...
An extremal decomposition problem for harmonic measure
An extremal decomposition problem harmonic measure
2010/11/23
Let $E$ be a continuum in the closed unit disk $|z|\le 1$ of the complex $z$-plane which divides the open disk $|z| < 1$ into $n\ge 2$ pairwise non-intersecting simply connected domains $D_k,$ such t...