| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
In this research project, we characterized the global properties of a jump-type symmetric Markov process and the functional analytic properties of a Markov semigroup in terms of the spatial dimension, and of the coefficients and jumping kernel of the associated Dirichlet form. We further provided a sufficient condition for the LIL-type asymptotic properties of a non-symmetric jump process in terms of the existence of the second moment of the jumping kernel. We also revealed the global properties and the asymptotic properties of the tail distribution for the maximal displacement of a branching Brownian motion.
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