Repeat space theory applied to carbon nanotubes and related molecular networks. I.

DOI10.1007/s10910-006-9064-2zbMath1117.92060OpenAlexW4231865355MaRDI QIDQ2644399

Shigeru Arimoto

Publication date: 31 August 2007

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-006-9064-2

zbMATH Keywords

resolution of singularitiescarbon nanotubes\(\ast\)-algebraadditivity and network problemsalgebraic and analytic curvesasymptotic linearity theorem (alt)repeat space theory (rst)the fukui conjecture

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Singularities of curves, local rings (14H20) Miscellaneous applications of functional analysis (46N99)

Related Items (9)

Normed repeat space and its super spaces: Fundamental notions for the second generation Fukui project ⋮ Explicit form of the inverse matrices of tribonacci circulant type matrices ⋮ Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices ⋮ Proof of the Fukui conjecture via resolution of singularities and related methods. III ⋮ Proof of the Fukui conjecture via resolution of singularities and related methods. IV ⋮ Repeat space theory applied to carbon nanotubes and related molecular networks. III ⋮ Proof of the Fukui conjecture via resolution of singularities and related methods. V ⋮ Fundamental notions for the second generation Fukui project and a prototypal problem of the normed repeat space and its super spaces ⋮ Multidimensional magic mountains and matrix art for the generalized repeat space theory

Cites Work

• The Euler-Maclaurin expansion for the Cauchy principal value integral
• Note on the repeat space theory
• New proof of the Fukui conjecture by the functional asymptotic linearity theorem
• The functional delta existence theorem and the reduction of a proof of the Fukui conjecture to that of the special functional asymptotic linearity theorem
• Proof of the Fukui conjecture via resolution of singularities and related methods. I
• Proof of the Fukui conjecture via resolution of singularities and related methods. II
• Characteristic Behavior of Toroidal Carbon Nanotubes: -- Kinematics of Persistent Currents --
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