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An infinite family of Legendrian torus knots distinguished by cube number
infinite family of Legendrian torus knots cube number
2011/2/24
For a knot K the cube number is a knot invariant de ned to be the smallest n for which
there is a cube diagram of size n for K.
Number variance for hierarchical random walks and related fluctuations
hierarchical random walks related fluctuations
2010/11/24
We study an infinite system of independent symmetric random walks on a hierarchical group, in particular, the c-random walks. Such walks are used, e.g., in population genetics. The number variance pr...
Rayleigh Number in a Stability Problem for a Micropolar Fluid
Fourier series methods micropolar fluid thermal convection Rayleigh number
2010/2/26
Approximate numerical evaluations of the Rayleigh number are obtained for a stability problem of thermal convection in a heat-conducting micropolar fluid layer between two rigid boundaries [7]. The in...
The Basis Number of the Semi-Composition Product of Some Graphs I
Basis number cycle space fold semi-composition product
2010/2/26
The basis number of a graph G is defined to be the least integer d such that there is a basis \mathcal{B} of the cycle space of G such that each edge of G is contained in at most d members of \mathcal...
On the Parabolic Class Number of Some Subgroups of Hecke Groups
Parabolic class number orbit Fuchsian group
2010/3/4
In this paper we calculate the parabolic class number of subgroups of Hecke groups ( H(\sqrt{2}), H (\sqrt{3}) ).