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【期刊论文】Supercontractivity and Ultracontractivity for (Non-Symmetric) Di
王凤雨, Michael Rockner and Feng-Yu Wang
,-0001,():
-1年11月30日
Under a curvature condition, we obtain some criteria of supercontractivity and ultracontractivity for (non-symmetric) di
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王凤雨, Fu-Zhou Gong and Feng-Yu Wang
,-0001,():
-1年11月30日
Let (E;F;
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【期刊论文】CHEEGER'S INEQUALITIES FOR GENERAL SYMMETRIC FORMS AND EXISTENCE CRITERIA FOR SPECTRAL GAP
王凤雨, Mu-Fa Chen and Feng-Yu Wang
,-0001,():
-1年11月30日
In this paper, some new forms of the Cheeger’s inequalities are established for general (maybe unbounded) symmetric forms (Theorem 1.1 and Theorem 1.2), the resulting estimates improve and extend the ones obtained by Lawler and Sokal (1988) for bounded jump processes. Furthermore, some existence criteria for spectral gap of general symmetric forms or general reversible Markov processes are presented (Theorem 1.4 and Theorem 3.1), based on the Cheeger’s inequalities and a relationship between the spectral gap and the first Dirichlet and Neumann eigenvalues on local region.
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【期刊论文】Liouville Theorem And Coupling On Negatively Curved Riemannian Manifolds
王凤雨
,-0001,():
-1年11月30日
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