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Titlebook: Dirichlet Forms and Related Topics; In Honor of Masatosh Zhen-Qing Chen,Masayoshi Takeda,Toshihiro Uemura Conference proceedings 2022 The E

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,Hölder Estimates for Resolvents of Time-Changed Brownian Motions,ciated Revuz measures, we prove that the resolvents of the time-changed Brownian motions are locally Hölder continuous in the spatial components. We also obtain lower bounds for the indices of the Hölder continuity.
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Brain Asymmetry, Functional Aspects,lmogorov equation (FPKE). Since in recent years a considerable number of uniqueness results for FPKE’s have been achieved, we obtain new Markov uniqueness results in concrete cases. A selection of such will be presented in this paper. They include cases with killing and with degenerate diffusion coefficients.
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https://doi.org/10.1007/978-1-137-10929-3 processes having both diffusive and jumping components in metric measure spaces. We summarize some of the main results obtained recently in [., .] and provide several examples. We also discuss new ideas of the proof for the off-diagonal upper bounds of transition densities which are based on a generalized Davies’ method developed in [.].
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HIV, AIDS, and Rape in Texas Prisonsesult in the context of regenerative sets, and remove the factor of 2 when the regenerative set enjoys a certain monotonicity property. This property occurs precisely when the Lévy exponent of the associated subordinator is a . function. Several equivalent stochastic monotonicity properties of such a regenerative set are demonstrated.
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https://doi.org/10.1007/978-1-4613-2889-6 domain of the . generator. Secondly we prove analogues of Yau’s and Karp’s Liouville theorems for weakly harmonic functions. Both say that weakly harmonic functions which satisfy certain . growth criteria must be constant. As consequence we give an integral criterion for recurrence.
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Self-Images and Relationship Modelssarily continuous. After giving a systematic presentation of the fundamentals of the scattering length, we study the problems of semi-classical asymptotics for scattering length under relativistic stable processes, which extend previous results for the case of positive continuous additive functionals.
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