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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.28 No.1
- 발행연도
- 2018.1
- 수록면
- 93 - 114 (22page)
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초록· 키워드
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We introduce a program aimed to building differential geometric analogues for problems arising from the theory of complex networks. We study the propagation of in uences on manifolds assuming that at each point only a finite number of propagation velocities are allowed. This leads to the computation of the volume of the moduli spaces of directed paths. The proposed settings provide a fertile ground for research with potential applications in geometry, mathematical physics, differential equations, and combinatorics. The interaction between differential geometry and complex networks is a new and promising field of study.
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참고문헌 (22)
참고문헌 신청
A. Agrachev / 2004 / Control theory from the geometric viewpoint / Springer-Verlag
V. Arnold / 1989 / Mathematical Methods of Classical Mechanics / Springer-Verlag
S. Brin / 1998 / The Anatomy of a Large-Scale Hypertextual Web Search Engine / Comp. Netw. ISDN Sys. 30:107~117
L. Cano / Continuous Analogues for the Binomial Coefficients and the Catalan Numbers / arXiv:1602.09132
M. Chas / String Topology / arXiv:math/9911159
V. Arnold / 1989 / Mathematical Methods of Classical Mechanics / Springer-Verlag
S. Brin / 1998 / The Anatomy of a Large-Scale Hypertextual Web Search Engine / Comp. Netw. ISDN Sys. 30:107~117
L. Cano / Continuous Analogues for the Binomial Coefficients and the Catalan Numbers / arXiv:1602.09132
M. Chas / String Topology / arXiv:math/9911159
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