• The Pure and Applied Mathematics
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• v.3 no.1
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• pp.67-71
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• 1996

We will show how bilinear form $\varepsilon_{\mu}$ related with some smooth measures can be extended to the $L^2$(\mathbb{R}^n,\mathbb {C})$ setting.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.2
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• pp.165-170
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• 2019

$C^1$ generically, if a diffeomorphism $f:M{\rightarrow}M$ of a closed smooth Riemannian manifold M has the asymptotic average shadowing property or the average shadowing property then f has a decomposition property.

• Proceedings of the PSK Conference
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• 2002.04a
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• pp.114.2-114.2
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• 2002

• Proceedings of the PSK Conference
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• 2002.04a
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• pp.129.2-129.2
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• 2002

• Proceedings of the Korea Society of Environmental Toocicology Conference
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• 2002.05a
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• pp.79-79
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• 2002

• East Asian mathematical journal
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• v.25 no.1
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• pp.27-37
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• 2009

In this paper, we introduce an iterative method for a pair of nonexpansive mappings. Strong convergence theorems are established in a real uniformly smooth Banach space.

• The Bulletin of The Korean Astronomical Society
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• v.45 no.1
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• pp.48.3-48.3
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• 2020

Using redshift-space distortion, I reconstruct the growth history as a smooth function using model independent methods. Assuming general relativity, I obtain the expansion history independently of the dark energy model, and test it to the supernovae data. The results are consistent with general relativity as gravity and the cosmological constant as dark energy, although interestingly negative dark energy densities are not ruled out by the data at z~0.7 to 1.

• The Pure and Applied Mathematics
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• v.29 no.2
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• pp.161-170
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• 2022

For an arbitrary ample divisor A in smooth del Pezzo surface S of degree 2, we completely compute alpha invariant along curves when the ample divisor A is birational type.

• Bulletin of the Korean Mathematical Society
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• v.60 no.6
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• pp.1705-1714
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• 2023

We explicitly construct the smooth toric Fano variety which is isomorphic to the blow-up of the projective space at torus invariant points in codimension one by anti-flips.

• Korean Circulation Journal
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• v.54 no.6
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• pp.361-362
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• 2024