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Article
Length and speed of a string in a geodesic surface
In the string theory, all particles are tiny vibrating strings and each type of vibration corresponds to a different particle. From the divergence theorem on a geodesic surface, we obtain some relations betwee...
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Article
Correction to: Relative volume comparison for asymptotically flat manifolds and rigidity of total mass
Dear readers, the author found some minor corrections in his online published article.
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Article
Relative volume comparison for asymptotically flat manifolds and rigidity of total mass
Asymptotically flat manifolds are being studied intensively for the positive mass theorem and the Riemannian Penrose inequality. We obtain an asymptotic relative volume comparison estimate. From the volume com...
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Article
Continuous and discrete SIR-models with spatial distributions
The SIR-model is a basic epidemic model that classifies a population into three subgroups: susceptible S, infected I and removed R. This model does not take into consideration the spatial distribution of each sub...
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Article
Gaussian curvature, elasticity of string and geodesic incompleteness in string theory
In classical general relativity, singularity theorems are concerned with the existence of an incomplete inextendible nonspacelike geodesic. We prove the incompleteness of a geodesic surface under assumptions o...
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Article
Volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci curvature bounds
We obtain the volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci and mean curvature bounds. Also we extend volume comparisons to weighted volume comparisons with int...
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Article
Tits topology and fundamental groups of compact Riemannian manifolds
Let M be a compact Riemannian manifold without conjugate points. We generalize the Tits topology on the ideal boundary $${\mathcal{B}}...
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Chapter and Conference Paper
A Lattice Based Public Key Cryptosystem Using Polynomial Representations
In Crypto 97, a public key cryptosystem based on the closest vector problem was suggested by Goldreich, Goldwasser and Halevi [4]. In this paper, we propose a public key cryptosystem applying representations of p...
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Chapter and Conference Paper
New Public Key Cryptosystem Using Finite Non Abelian Groups
Most public key cryptosystems have been constructed based on abelian groups up to now. We propose a new public key cryptosystem built on finite non abelian groups in this paper. It is convertible to a scheme i...
