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Cho, Nhan-Sook
- Journal of the Korean Mathematical Society
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- v.34 no.3
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- pp.707-717
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- 1997
The square of Brownian density process $Q^\lambda$ is defined where $\lambda$ is a parameter. Applying limit theorems of stochastic integrals w.r.t. martingale measure, we prove a weak limit theorem for $Q^\lambda$ in $D_{S'(R^d)}[0,1]$.
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Kim, Nam-Hee;Koh, Hyun-Moo;Hong, Sung-Gul
- Journal of the Computational Structural Engineering Institute of Korea
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- v.22 no.1
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- pp.15-23
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- 2009
Masonry structures that are very strong in compression fail due to the instability of structural shape of geometry rather than the material stress limit. Considering such structural behavior, the use of the limit theorem that focuses on structural collapse mechanisms is more appropriate for the evaluation of the structural safety of stone voussoir arch bridges. This paper is to investigate structural performance of the stone arch bridges constructed using dry construction method in Korea based on the limit theorem and to exploit the result to develop a system for an structural safety margin. It is expected that this study will help us understand structural behavior of stone voussoir arch bridges in Korea. Also, it will provide a guideline to make engineering decision from the viewpoint of the maintenance of cultural heritages.
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Yoo, Seung Jae
- Journal of the Chungcheong Mathematical Society
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- v.16 no.1
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- pp.113-121
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- 2003
This paper is concerned with some properties of stable domains and limit functions. Using the relationship between cycles of periodic stable domains and orbits of critical points and using the Sullivan theorem [19], we prove that the value of a constant limit function in some stable domain for a rational function f of degree at least two lies in the closure of the set of critical orbits of f.
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