He, Jiawei; Cheng, Hongyu Explicit construction of quasi-periodic finitely differentiable Schrödinger operators with Cantor spectrum. (English) Zbl 07972424 Nonlinearity 38, No. 2, Article ID 025012, 33 p., 33 p. (2025). MSC: 34L40 35J10 37D05 37E10 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Zixuan; Xu, Zhenli; Yang, Zhiguo Reduced projection method for photonic moiré lattices. (English) Zbl 07951584 J. Sci. Comput. 102, No. 1, Paper No. 8, 22 p. (2025). Reviewer: Petr Sváček (Praha) MSC: 65N35 65N25 65N22 65F10 65N12 65N15 35J10 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Zhenfu; You, Jiangong; Zhou, Qi Non-self-adjoint quasi-periodic operators with complex spectrum. (English) Zbl 07900789 J. Funct. Anal. 287, No. 10, Article ID 110614, 45 p. (2024). MSC: 47Bxx 47Axx 81Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karaliolios, Nikolaos; Xu, Xu; Zhou, Qi Anosov-Katok constructions for quasi-periodic \(\operatorname{SL}(2, \mathbb{R})\) cocycles. (English) Zbl 07812096 Peking Math. J. 7, No. 1, 203-245 (2024). Reviewer: João Lopes Dias (Lisboa) MSC: 37J40 37D20 37D25 37D30 47B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fang, Licheng; Guo, Shuzheng; Peng, Yaqun; Wang, Fengpeng Quantitative version of Gordon’s lemma for Hamiltonian with finite range. (English) Zbl 1537.37033 Linear Algebra Appl. 687, 91-107 (2024). MSC: 37C30 47B36 47B40 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Baake, Michael (ed.); Cortez, María Isabel (ed.); Damanik, David (ed.); Strungaru, Nicolae (ed.) Aspects of aperiodic order. Abstracts from the workshop held August 27 – September 1, 2023. (English) Zbl 1537.00015 Oberwolfach Rep. 20, No. 3, 2107-2178 (2023). MSC: 00B05 00B25 52-06 37-06 52C23 37B10 37B52 35Q40 43A25 37C79 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Jitomirskaya, Svetlana One-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominators. (English) Zbl 07821734 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1090-1120 (2023). MSC: 47B36 37C55 82B26 37D25 × Cite Format Result Cite Review PDF Full Text: DOI
Efendiev, R. F.; Annaghili, Sh. Inverse spectral problem of discontinuous non-self-adjoint operator pencil with almost periodic potentials. (English) Zbl 1538.34067 Azerb. J. Math. 13, No. 1, 156-171 (2023). MSC: 34A55 34A36 34L05 × Cite Format Result Cite Review PDF Full Text: Link
Young, Giorgio Ballistic transport for limit-periodic Schrödinger operators in one dimension. (English) Zbl 1527.35332 J. Spectr. Theory 13, No. 2, 451-489 (2023). MSC: 35Q41 81Q10 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Yunfeng Localization for almost-periodic operators with power-law long-range hopping: a Nash-Moser iteration type reducibility approach. (English) Zbl 1530.81083 Commun. Math. Phys. 402, No. 2, 1765-1806 (2023). MSC: 81Q35 47B90 35B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ge, Lingrui; Jitomirskaya, Svetlana; Zhao, Xin Stability of the non-critical spectral properties i: arithmetic absolute continuity of the integrated density of states. (English) Zbl 07719654 Commun. Math. Phys. 402, No. 1, 213-229 (2023). MSC: 47Bxx 81Qxx 34Lxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simon, Barry Twelve tales in mathematical physics: an expanded Heineman Prize lecture. (English) Zbl 1507.01028 J. Math. Phys. 63, No. 2, Article ID 021101, 93 p. (2022). MSC: 01A65 81-01 82-01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, H.; Cvitanović, P. A chaotic lattice field theory in one dimension. (English) Zbl 1507.81099 J. Phys. A, Math. Theor. 55, No. 30, Article ID 304002, 66 p. (2022). MSC: 81Q20 81Q50 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lawton, Wayne M. Tutorial on rational rotation \(C^*\)-algebras. (English) Zbl 1541.46033 J. Sib. Fed. Univ., Math. Phys. 15, No. 5, 598-609 (2022). MSC: 46L05 46L35 46L10 46L30 46L85 46-01 × Cite Format Result Cite Review PDF Full Text: arXiv MNR
Li, Xianzhe Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications. (English) Zbl 07614277 Nonlinearity 35, No. 12, 6124-6155 (2022). MSC: 47B39 47B36 37-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Long; Damanik, David; Zhou, Qi Cantor spectrum for CMV matrices with almost periodic Verblunsky coefficients. (English) Zbl 1545.47071 J. Funct. Anal. 283, No. 12, Article ID 109709, 52 p. (2022). MSC: 47B36 42C05 47A10 37A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cai, Ao; Ge, Lingrui Reducibility of finitely differentiable quasi-periodic cocycles and its spectral applications. (English) Zbl 07587114 J. Dyn. Differ. Equations 34, No. 3, 2079-2104 (2022). MSC: 47-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Fan; Fu, Linlin; Xu, Jiahao On the density of certain spectral points for a class of \(C^2\) quasiperiodic Schrödinger cocycles. (English) Zbl 1496.37029 Discrete Contin. Dyn. Syst. 42, No. 5, 2525-2540 (2022). MSC: 37D25 37A30 37C40 × Cite Format Result Cite Review PDF Full Text: DOI
Sivaji Ganesh, Sista; Tewary, Vivek Bloch wave approach to almost periodic homogenization and approximations of effective coefficients. (English) Zbl 1497.35036 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 1989-2024 (2022). MSC: 35B27 35J15 34C27 46N20 47N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jitomirskaya, Svetlana; Konstantinov, Lyuben; Krasovsky, Igor On the spectrum of critical almost Mathieu operators in the rational case. (English) Zbl 1501.47051 J. Spectr. Theory 12, No. 1, 11-21 (2022). MSC: 47B36 47B93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takase, Alberto On the spectra of separable 2D almost Mathieu operators. (English) Zbl 1501.47054 Ann. Henri Poincaré 22, No. 11, 3747-3761 (2021). MSC: 47B37 81Q10 47A10 47B93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jitomirskaya, S. On point spectrum of critical almost Mathieu operators. (English) Zbl 07415182 Adv. Math. 392, Article ID 107997, 6 p. (2021). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B39 34L40 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Ao; Wang, Xueyin Polynomial decay of the gap length for \(C^k\) quasi-periodic Schrödinger operators and spectral application. (English) Zbl 1466.37022 J. Funct. Anal. 281, No. 3, Article ID 109035, 30 p. (2021). MSC: 37C40 37C30 37J40 37K55 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Wencai Almost Mathieu operators with completely resonant phases. (English) Zbl 1446.37029 Ergodic Theory Dyn. Syst. 40, No. 7, 1875-1893 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37C30 37A44 37H15 37A20 47B37 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guseva, E. Yu.; Kurbatov, V. G. Inverse-closedness of subalgebras of integral operators with almost periodic kernels. (English) Zbl 1501.47119 Complex Anal. Oper. Theory 14, No. 1, Paper No. 4, 23 p. (2020). Reviewer: Oleksiy Karlovych (Lisboa) MSC: 47L80 47G10 45P05 46H10 47B38 42A75 32A65 34C27 35B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, J.; Zhou, Qi; Jäger, T. Genericity of mode-locking for quasiperiodically forced circle maps. (English) Zbl 1415.37057 Adv. Math. 348, 353-377 (2019). MSC: 37E10 37E45 37E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Wencai Continuous quasiperiodic Schrödinger operators with Gordon type potentials. (English) Zbl 1391.81083 J. Math. Phys. 59, No. 6, 063501, 6 p. (2018). MSC: 81Q10 34L40 26A16 34L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xiaohui; Tong, Peiqing Nonequilibrium quench dynamics of hard-core bosons in quasiperiodic lattices. (English) Zbl 1457.82220 J. Stat. Mech. Theory Exp. 2017, No. 11, Article ID 113107, 21 p. (2017). MSC: 82C10 × Cite Format Result Cite Review PDF Full Text: DOI
Damanik, David (ed.); Gesztesy, Fritz (ed.); Yuditskii, Peter (ed.) Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22–28, 2017. (English) Zbl 1409.00082 Oberwolfach Rep. 14, No. 4, 2943-2985 (2017). MSC: 00B05 00B25 35Q53 35B15 47B36 47A55 35-06 35P25 35R30 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Marx, C. A.; Jitomirskaya, S. Dynamics and spectral theory of quasi-periodic Schrödinger-type operators. (English) Zbl 1384.37011 Ergodic Theory Dyn. Syst. 37, No. 8, 2353-2393 (2017). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 37A30 35P05 35J10 35B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Damanik, David Schrödinger operators with dynamically defined potentials. (English) Zbl 1541.81060 Ergodic Theory Dyn. Syst. 37, No. 6, 1681-1764 (2017). MSC: 81Q12 35Q41 37H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hyde, Jessica; Kelleher, Daniel; Moeller, Jesse; Rogers, Luke; Seda, Luis Magnetic Laplacians of locally exact forms on the Sierpinski gasket. (English) Zbl 1375.81110 Commun. Pure Appl. Anal. 16, No. 6, 2299-2319 (2017). MSC: 81Q35 28A80 60J35 31E05 47A07 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Exner, Pavel; Vašata, Daniel Cantor spectra of magnetic chain graphs. (English) Zbl 1368.82003 J. Phys. A, Math. Theor. 50, No. 16, Article ID 165201, 13 p. (2017). MSC: 82B20 28A80 82D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Russell; Zampogni, Luca Some examples of generalized reflectionless Schrödinger potentials. (English) Zbl 1418.37115 Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 1149-1170 (2016). MSC: 37K15 37K20 34L40 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Alpan, Gökalp; Goncharov, Alexander Orthogonal polynomials for the weakly equilibrium Cantor sets. (English) Zbl 1347.42049 Proc. Am. Math. Soc. 144, No. 9, 3781-3795 (2016). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42C05 47B36 31A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Figueras, Jordi-Lluís; Haro, Àlex Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps. (English) Zbl 1374.37110 Chaos 25, No. 12, 123119, 16 p. (2015). MSC: 37M20 37D10 × Cite Format Result Cite Review PDF Full Text: DOI
You, Jiangong; Zhang, Shiwen; Zhou, Qi Point spectrum for quasi-periodic long range operators. (English) Zbl 1311.81126 J. Spectr. Theory 4, No. 4, 769-781 (2014). MSC: 81Q10 37C55 × Cite Format Result Cite Review PDF Full Text: DOI
Damanik, David; Fillman, Jake; Gorodetski, Anton Continuum Schrödinger operators associated with aperiodic subshifts. (English) Zbl 1292.81052 Ann. Henri Poincaré 15, No. 6, 1123-1144 (2014). MSC: 81Q10 81Q05 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karpeshina, Yulia; Lee, Young-Ran Spectral properties of a limit-periodic Schrödinger operator in dimension two. (English) Zbl 1388.35133 J. Anal. Math. 120, 1-84 (2013). MSC: 35P05 37B05 35J10 35B10 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chandler-Wilde, Simon N.; Lindner, Marko Limit operators, collective compactness, and the spectral theory of infinite matrices. (English) Zbl 1219.47001 Mem. Am. Math. Soc. 989, vii, 111 p. (2011). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47-02 47A53 47B07 46N20 46E40 47B37 47L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karpeshina, Yulia; Lee, Young-Ran Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two. (English) Zbl 1151.35060 Commun. Partial Differ. Equations 33, No. 9, 1711-1728 (2008). MSC: 35P05 47F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avila, Artur; Damanik, David Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling. (English) Zbl 1149.47021 Invent. Math. 172, No. 2, 439-453 (2008). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47B36 47B80 47N55 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karpeshina, Yulia; Lee, Young-Ran Spectral properties of polyharmonic operators with limit-periodic potential in dimension two. (English) Zbl 1145.31001 J. Anal. Math. 102, 225-310 (2007). Reviewer: Ajay Kumar (Delhi) MSC: 31A99 47L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bjerklöv, Kristian Dynamics of the quasi-periodic Schrödinger cocycle at the lowest energy in the spectrum. (English) Zbl 1135.37031 Commun. Math. Phys. 272, No. 2, 397-442 (2007). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 37N05 81Q05 47B80 37D25 37A99 47E05 82B44 × Cite Format Result Cite Review PDF Full Text: DOI
Karpeshina, Yulia; Lee, Young-Ran On polyharmonic operators with limit-periodic potential in dimension two. (English) Zbl 1109.81031 Electron. Res. Announc. Am. Math. Soc. 12, 113-120 (2006). MSC: 81Q10 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Batchenko, Volodymyr; Gesztesy, Fritz On the spectrum of Schrödinger operators with quasi-periodic algebro-geometric KdV potentials. (English) Zbl 1088.34071 J. Anal. Math. 95, 333-387 (2005). Reviewer: Horst Behncke (Osnabrück) MSC: 34L40 34L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Broer, Henk; Puig, Joaquim; Simó, Carles Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. (English) Zbl 1098.37014 Commun. Math. Phys. 241, No. 2-3, 467-503 (2003). MSC: 37B55 34B30 34C20 34C28 34C29 37E45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Boca, Florin P. On the spectrum of certain discrete Schrödinger operators with quasiperiodic potential. (English) Zbl 0955.47028 Duke Math. J. 101, No. 3, 515-528 (2000). Reviewer: Josef Wloka (Kiel) MSC: 47F05 47E05 35L40 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Bédos, Erik An introduction to 3D discrete magnetic Laplacians and noncommutative 3-tori. (English) Zbl 0932.46060 J. Geom. Phys. 30, No. 3, 204-232 (1999). Reviewer: Hideo Yamagata (Osaka) MSC: 46L60 46N50 46L85 47C15 81Q10 82B10 46L87 × Cite Format Result Cite Review PDF Full Text: DOI Link
Abanov, A. G.; Talstra, J. C.; Wiegmann, P. B. Hierarchical structure of Azbel-Hofstadter problem: strings and loose ends of Bethe ansatz. (English) Zbl 1047.82511 Nucl. Phys., B 525, No. 3, 571-596 (1998). MSC: 82B23 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schulz-Baldes, H.; Béllissard, J. Anomalous transport: a mathematical framework. (English) Zbl 0908.47066 Rev. Math. Phys. 10, No. 1, 1-46 (1998). MSC: 47N55 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mantica, Giorgio Wave propagation in almost-periodic structures. (English) Zbl 0925.58041 Physica D 109, No. 1-2, 113-127 (1997). MSC: 37A99 28A80 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Exner, P. A duality between Schrödinger operators on graphs and certain Jacobi matrices. (English) Zbl 0949.34073 Ann. Inst. Henri Poincaré, Phys. Théor. 66, No. 4, 359-371 (1997). Reviewer: M.Shahin (Dallas) MSC: 34L40 81Q05 34B45 × Cite Format Result Cite Review PDF Full Text: arXiv Numdam EuDML
Ketoja, Jukka A.; Satija, Indubala I. “Critical” phonons of the supercritical Frenkel-Kontorova model: renormalization bifurcation diagrams. (English) Zbl 0894.58063 Physica D 104, No. 2-4, 239-252 (1997). MSC: 37N99 74H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forster, G. K.; Craik, A. D. D. The stability of three-dimensional time-periodic flows with ellipsoidal stream surfaces. (English) Zbl 0886.76033 J. Fluid Mech. 324, 379-391 (1996). MSC: 76E99 × Cite Format Result Cite Review PDF Full Text: DOI
Herczyński, Jan Finite difference approximation of almost periodic Schrödinger operators. 3. (English) Zbl 0839.65095 Nonlinear Anal., Theory Methods Appl. 25, No. 8, 821-829 (1995). Reviewer: P.Matus (Minsk) MSC: 65M06 35Q55 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Last, Y. Zero measure spectrum for the almost Mathieu operator. (English) Zbl 0814.11040 Commun. Math. Phys. 164, No. 2, 421-432 (1994). Reviewer: M.M.Dodson (Heslington) MSC: 11K55 34L05 37J99 70H99 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Shubin, M. A. Discrete magnetic Laplacian. (English) Zbl 0811.46079 Commun. Math. Phys. 164, No. 2, 259-275 (1994). MSC: 46N50 46L60 47N50 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Bessis, Daniel; Mantica, Giorgio Orthogonal polynomials associated to almost periodic Schrödinger operators. A trend towards random orthogonal polynomials. (English) Zbl 0793.35023 J. Comput. Appl. Math. 48, No. 1-2, 17-32 (1993). MSC: 35J10 35P05 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Jitomirskaya, Svetlana; Klein, Abel Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. (English) Zbl 1101.82306 J. Stat. Phys. 73, No. 1-2, 319-344 (1993). MSC: 82B20 82B43 × Cite Format Result Cite Review PDF Full Text: DOI
Riedel, Norbert Absence of Cantor spectrum for a class of Schrödinger operators. (English) Zbl 0796.47029 Bull. Am. Math. Soc., New Ser. 29, No. 1, 85-87 (1993). Reviewer: B.M.Agrawal (Lashkar-Gwalior) MSC: 47C15 47B39 47B38 31A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Last, Y. A relation between a.c. spectrum of ergodic Jacobi matrices and the spectra of periodic approximants. (English) Zbl 0782.34084 Commun. Math. Phys. 151, No. 1, 183-192 (1993). MSC: 34L05 28D10 34D08 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Kerdelhué, Philippe Spectre de l’opérateur de Schrödinger magnétique avec symétrie d’ordre six. (Spectrum of the magnetic Schrödinger operator with symmetry of order six). (French) Zbl 0769.35075 Mém. Soc. Math. Fr., Nouv. Sér. 51, 139 p. (1992). Reviewer: B.Helffer (Paris) MSC: 35S05 81Q20 35J10 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Stolz, Günter Bounded solutions and absolute continuity of Sturm-Liouville operators. (English) Zbl 0785.34052 J. Math. Anal. Appl. 169, No. 1, 210-228 (1992). Reviewer: Y.P.Mishev (Sofia) MSC: 34L05 47E05 34C11 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Kohmoto, Mahito Dynamical system related to quasiperiodic Schrödinger equations in one dimension. (English) Zbl 0892.58025 J. Stat. Phys. 66, No. 3-4, 791-796 (1992). MSC: 37E99 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Carey, Alan L.; Phillips, John Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor. (English) Zbl 0732.46039 \(K\)-Theory 4, No. 5, 445-478 (1991). Reviewer: Diep Do Ngoc (Hanoi) MSC: 46L80 46H25 46L35 19K35 × Cite Format Result Cite Review PDF Full Text: DOI
Golden, K.; Goldstein, S. Arbitrarily slow approach to limiting behaviour. (English) Zbl 0721.60066 Proc. Am. Math. Soc. 112, No. 1, 109-119 (1991). MSC: 60H10 26A12 × Cite Format Result Cite Review PDF Full Text: DOI
Helffer, B.; Kerdelhué, P.; Sjöstrand, J. Le papillon de Hofstadter, revisité. (Hofstadter’s butterfly, revised). (French) Zbl 0732.44004 Mém. Soc. Math. Fr., Nouv. Sér. 43, 87 p. (1990). Reviewer: J.Asch (Berlin) MSC: 44A45 35Q40 35S99 35P99 81Q20 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Helffer, B.; Sjöstrand, J. On diamagnetism and de Haas-van Alphen effect. (English) Zbl 0715.35070 Ann. Inst. Henri Poincaré, Phys. Théor. 52, No. 4, 303-375 (1990). Reviewer: S.M.Zverev MSC: 35Q40 81Q10 35P20 35S05 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Golden, K.; Goldstein, S.; Lebowitz, J. L. Discontinuous behavior of effective transport coefficients in quasiperiodic media. (English) Zbl 1086.82584 J. Stat. Phys. 58, No. 3-4, 669-684 (1990). MSC: 82D99 82C70 × Cite Format Result Cite Review PDF Full Text: DOI
Helffer, B.; Sjöstrand, J. Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. (English) Zbl 0725.34099 Mém. Soc. Math. Fr., Nouv. Sér. 39, 124 p. (1989). Reviewer: D.Robert (Nantes) MSC: 34L40 35P05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Bellissard, J.; Iochum, B.; Scoppola, E.; Testard, D. Spectral properties of one dimensional quasi-crystals. (English) Zbl 0825.58010 Commun. Math. Phys. 125, No. 3, 527-543 (1989). MSC: 37E99 37A30 82D25 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Mouche, Pierre v. The coexistence problem for the discrete Mathieu operator. (English) Zbl 0669.34016 Commun. Math. Phys. 122, No. 1, 23-33 (1989). MSC: 34A30 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Helffer, B.; Sjöstrand, J. Analyse semi-classique pour l’équation de Harper (avec application à l’équation de Schrödinger avec champ magnétique). (Semiclassical analysis for the Harper equation (with application to the magnetic Schrödinger equation)). (French) Zbl 0714.34130 Mém. Soc. Math. Fr., Nouv. Sér. 34, 113 p. (1988). Reviewer: C.Zuily MSC: 34L40 35P15 34L15 81Q20 35B20 35J10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Gesztesy, F.; Holden, H.; Kirsch, W. On energy gaps in a new type of analytically solvable model in quantum mechanics. (English) Zbl 0669.47002 J. Math. Anal. Appl. 134, No. 1, 9-29 (1988). Reviewer: F.Gesztezy MSC: 47A10 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Koukiou, F.; Petritis, D.; Zahradník, M. Extension of the Pirogov-Sinai theory to a class of quasiperiodic interactions. (English) Zbl 0668.58013 Commun. Math. Phys. 118, No. 3, 365-383 (1988). MSC: 37J99 82B26 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Geronimo, Jeffrey S.; Harrell, Evans M. II; Van Assche, Walter On the asymptotic distribution of eigenvalues of banded matrices. (English) Zbl 0646.15004 Constructive Approximation 4, No. 4, 403-417 (1988). Reviewer: E.Kreyszig MSC: 15A18 47A70 35P20 × Cite Format Result Cite Review PDF Full Text: DOI
Arede, T. A class of solvable nonlinear filters. (English) Zbl 0641.93062 Stochastics 23, No. 3, 377-389 (1988). Reviewer: J.Picard MSC: 93E11 93C10 62M20 93E25 × Cite Format Result Cite Review PDF Full Text: DOI
Sinaj, Ya. G. Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential. (English) Zbl 0682.34023 J. Stat. Phys. 46, No. 5-6, 861-909 (1987). MSC: 34B27 34L99 × Cite Format Result Cite Review PDF Full Text: DOI
Gesztesy, F.; Šeba, P. New analytically solvable models of relativistic point interactions. (English) Zbl 0646.60107 Lett. Math. Phys. 13, 345-358 (1987). MSC: 60K35 81P20 × Cite Format Result Cite Review PDF Full Text: DOI
Kaminker, Jerome; Xia, Jingbo The spectrum of operators elliptic along the orbits of \({\mathbb{R}}^ n\) actions. (English) Zbl 0643.58033 Commun. Math. Phys. 110, 427-438 (1987). Reviewer: M.K.Murray MSC: 58J50 58J22 35P99 × Cite Format Result Cite Review PDF Full Text: DOI
Chierchia, Luigi Absolutely continuous spectra of quasiperiodic Schrödinger operators. (English) Zbl 0642.34018 J. Math. Phys. 28, 2891-2898 (1987). Reviewer: L.Chierchia MSC: 34L99 35J10 37C55 34K99 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Sütö, András The spectrum of a quasiperiodic Schrödinger operator. (English) Zbl 0624.34017 Commun. Math. Phys. 111, 409-415 (1987). MSC: 34L99 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso Quasiperiodically forced dynamical systems with strange nonchaotic attractors. (English) Zbl 0612.58030 Physica D 26, 277-294 (1987). MSC: 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Naboko, S. N. Dense point spectra of Schrödinger and Dirac operators. (English. Russian original) Zbl 0607.34023 Theor. Math. Phys. 68, 646-653 (1986); translation from Teor. Mat. Fiz. 68, No. 1, 18-28 (1986). Reviewer: V.C.Boffi MSC: 34L99 81Q05 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Casdagli, Martin Symbolic dynamics for the renormalization map of a quasiperiodic Schrödinger equation. (English) Zbl 0606.39004 Commun. Math. Phys. 107, 295-318 (1986). Reviewer: D.Robert MSC: 39A70 × Cite Format Result Cite Review PDF Full Text: DOI
Delyon, François; Petritis, Dimitri Absence of localization in a class of Schrödinger operators with quasiperiodic potential. (English) Zbl 0604.35072 Commun. Math. Phys. 103, 441-444 (1986). Reviewer: M.Merigot MSC: 35Q99 35J10 47A10 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Simon, Barry Almost periodic Schrödinger operators. IV. The Maryland model. (English) Zbl 0595.35032 Ann. Phys. 159, 157-183 (1985). Reviewer: H.Siedentop MSC: 35J10 35P10 82D30 47B99 58J22 × Cite Format Result Cite Review PDF Full Text: DOI
Carmona, René One-dimensional Schrödinger operators with random potentials: a survey. (English) Zbl 0547.60069 Acta Appl. Math. 4, 65-91 (1985). MSC: 60H25 82D30 × Cite Format Result Cite Review PDF Full Text: DOI
Figotin, A. L.; Pastur, L. A. An exactly solvable model of a multidimensional incommensurate structure. (English) Zbl 0582.35101 Commun. Math. Phys. 95, 401-425 (1984). MSC: 35Q99 35J10 35P05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Deift, P.; Simon, B. Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. (English) Zbl 0562.35026 Commun. Math. Phys. 90, 389-411 (1983). MSC: 35J10 35P05 35B15 × Cite Format Result Cite Review PDF Full Text: DOI
Avron, Joseph; Simon, Barry Almost periodic Schrödinger operators. II: The integrated density of states. (English) Zbl 0544.35030 Duke Math. J. 50, 369-391 (1983). Reviewer: H.Siedentop MSC: 34L40 47B39 81Q10 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Russell A. A review of recent work on almost periodic differential and difference operators. (English) Zbl 0542.34007 Acta Appl. Math. 1, 241-261 (1983). Reviewer: F.Neuman MSC: 34A30 47A10 82D30 × Cite Format Result Cite Review PDF Full Text: DOI
Delyon, F.; Souillard, B. The rotation number for finite difference operators and its properties. (English) Zbl 0525.39003 Commun. Math. Phys. 89, 415-426 (1983). MSC: 39A70 47B39 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Craig, Walter Pure point spectrum for discrete almost periodic Schrödinger operators. (English) Zbl 0525.35076 Commun. Math. Phys. 88, 113-131 (1983). MSC: 35Q99 35J10 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Craig, W.; Simon, B. Subharmonicity of the Lyapunov index. (English) Zbl 0518.35027 Duke Math. J. 50, 551-560 (1983). MSC: 35J10 47F05 35R60 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Simon, Barry Schrödinger semigroups. (English) Zbl 0524.35002 Bull. Am. Math. Soc., New Ser. 7, 447-526 (1982). MSC: 35-02 35J10 81-02 47F05 35P05 47D03 35K05 × Cite Format Result Cite Review PDF Full Text: DOI