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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quasi-invariant theorem on the Gaussian path space
高斯路径 空间 准不变定理
2022/12/9
In this talk, we will first introduce a class of Gaussian processes, and prove the quasi-invariant theorem with respect to the Gaussian Wiener measure, which is the law of the associated Gaussian proc...
A Note on the Paper $"$Poincaré Inequality on the Path Space of Poisson Point Processes"
Paper $"$Poincaré Inequality ath Space of Poisson Point Processes"
2010/9/1
In the recent paper [2] we proved a Poincar´e inequality on the path space of compound Poisson processes by using transition probabilities and the Markov property. Our purpose
is to develop a g...
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary
Markov processes Gelfand-Tsetlin graph boundary
2010/9/1
We construct a four-parameter family of Markov processes on infinite Gelfand-Tsetlin schemes that preserve the class of central (Gibbs) measures. Any process in the family induces a Feller Markov proc...