"호프스태터의 나비"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) (section '메모' updated) |
Pythagoras0 (토론 | 기여) (section '관련논문' updated) |
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| 6번째 줄: | 6번째 줄: | ||
==관련논문== | ==관련논문== | ||
| + | * Yasuyuki Hatsuda, Hosho Katsura, Yuji Tachikawa, Hofstadter's Butterfly in Quantum Geometry, arXiv:1606.01894 [hep-th], June 06 2016, http://arxiv.org/abs/1606.01894 | ||
* Avila, Artur, Jiangong You, and Qi Zhou. “Sharp Phase Transitions for the Almost Mathieu Operator.” arXiv:1512.03124 [math-Ph], December 9, 2015. http://arxiv.org/abs/1512.03124. | * Avila, Artur, Jiangong You, and Qi Zhou. “Sharp Phase Transitions for the Almost Mathieu Operator.” arXiv:1512.03124 [math-Ph], December 9, 2015. http://arxiv.org/abs/1512.03124. | ||
* Strohmer, Thomas, and Tim Wertz. “Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators.” arXiv:1501.06001 [math], January 23, 2015. http://arxiv.org/abs/1501.06001. | * Strohmer, Thomas, and Tim Wertz. “Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators.” arXiv:1501.06001 [math], January 23, 2015. http://arxiv.org/abs/1501.06001. | ||
* Wang, Yiqian, and Zhenghe Zhang. “Cantor Spectrum for a Class of $C^2$ Quasiperiodic Schr"odinger Operators.” arXiv:1410.0101 [math], September 30, 2014. http://arxiv.org/abs/1410.0101. | * Wang, Yiqian, and Zhenghe Zhang. “Cantor Spectrum for a Class of $C^2$ Quasiperiodic Schr"odinger Operators.” arXiv:1410.0101 [math], September 30, 2014. http://arxiv.org/abs/1410.0101. | ||
* Geisler, M. C., J. H. Smet, V. Umansky, K. von Klitzing, B. Naundorf, R. Ketzmerick, and H. Schweizer. “Detection of a Landau Band-Coupling-Induced Rearrangement of the Hofstadter Butterfly.” Physical Review Letters 92, no. 25 (June 22, 2004): 256801. doi:10.1103/PhysRevLett.92.256801. | * Geisler, M. C., J. H. Smet, V. Umansky, K. von Klitzing, B. Naundorf, R. Ketzmerick, and H. Schweizer. “Detection of a Landau Band-Coupling-Induced Rearrangement of the Hofstadter Butterfly.” Physical Review Letters 92, no. 25 (June 22, 2004): 256801. doi:10.1103/PhysRevLett.92.256801. | ||
2016년 6월 7일 (화) 20:46 판
메모
- I. Krasovsky, Central gaps in the spectrum of the almost Mathieu operator, arXiv:1602.08624 [math.SP], February 27 2016, http://arxiv.org/abs/1602.08624
- http://tuckoo.tistory.com/445
- http://en.wikipedia.org/wiki/Hofstadter's_butterfly
- http://en.wikipedia.org/wiki/Almost_Mathieu_operator
관련논문
- Yasuyuki Hatsuda, Hosho Katsura, Yuji Tachikawa, Hofstadter's Butterfly in Quantum Geometry, arXiv:1606.01894 [hep-th], June 06 2016, http://arxiv.org/abs/1606.01894
- Avila, Artur, Jiangong You, and Qi Zhou. “Sharp Phase Transitions for the Almost Mathieu Operator.” arXiv:1512.03124 [math-Ph], December 9, 2015. http://arxiv.org/abs/1512.03124.
- Strohmer, Thomas, and Tim Wertz. “Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators.” arXiv:1501.06001 [math], January 23, 2015. http://arxiv.org/abs/1501.06001.
- Wang, Yiqian, and Zhenghe Zhang. “Cantor Spectrum for a Class of $C^2$ Quasiperiodic Schr"odinger Operators.” arXiv:1410.0101 [math], September 30, 2014. http://arxiv.org/abs/1410.0101.
- Geisler, M. C., J. H. Smet, V. Umansky, K. von Klitzing, B. Naundorf, R. Ketzmerick, and H. Schweizer. “Detection of a Landau Band-Coupling-Induced Rearrangement of the Hofstadter Butterfly.” Physical Review Letters 92, no. 25 (June 22, 2004): 256801. doi:10.1103/PhysRevLett.92.256801.