Recent Publications
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Masatoshi Fukushima, Yoichi Oshima and Masayoshi Takeda
Dirichlet Forms and Symmetric Markov Processes
De Gruyter, Berlin/New York, 1994, 2nd Edition 2011
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Yoichi Oshima
Semi-Dirichlet Forms and Markov Processes
De Gruyter, Berlin/New York, 2013
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D.Kim and Y.Oshima, Some inequalities related to transience and recurrence of Markov processes and their applications, J. Theore. Probab.,Vol. 23 (2010) 148-168 (PDF)
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Y. Oshima, On a construction of space-time diffusion processes with boundary condition, Festschrift Masatoshi Fukushima, pp.489--506, World Scientific, Singapore, 2015 (PDF)
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Y. Oshima and T. Uemura, On the Conservativeness of Some Markov Processes, Potential Analysys, Vol.46 (2017), 609-645 (PDF)
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M. Fukushima and Y. Oshima, Recurrent Dirichlet Forms and Markov Property of Associated Gaussian Fields, Potential Analysis, Vol.49 (2018), 609-633 (PDF)
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M. Fukushima and Y. Oshima, Gaussian fields, equilibrium potentials and multiplicative chaos for Dirichlet forms, Potential Analysis, Vol.55 (2021),285-337 (PDF)
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D.Kim and Y. Oshima, On the upper rate functions of some time inhomogeneous diffusion processes, Potential Analysis, Vol. 60 (2023), 1181-1213 (PDF)