Kaluba, Marek; Kielak, Dawid; Nowak, Piotr On property (T) for \(\mathrm{Aut}(F_n)\) and \(\mathrm{SL}_n(\mathbb{Z})\). (English) Zbl 07331715 Ann. Math. (2) 193, No. 2, 539-562 (2021). MSC: 22D55 20F28 PDF BibTeX XML Cite \textit{M. Kaluba} et al., Ann. Math. (2) 193, No. 2, 539--562 (2021; Zbl 07331715) Full Text: DOI
Borisov, D. I.; Exner, P. Gap opening in two-dimensional periodic systems. (English) Zbl 07266070 Commun. Contemp. Math. 23, No. 1, Article ID 1950080, 22 p. (2021). MSC: 35J15 35P99 81Q10 PDF BibTeX XML Cite \textit{D. I. Borisov} and \textit{P. Exner}, Commun. Contemp. Math. 23, No. 1, Article ID 1950080, 22 p. (2021; Zbl 07266070) Full Text: DOI
Kennedy, J. B. A family of diameter-based eigenvalue bounds for quantum graphs. (English) Zbl 07261934 Atay, Fatihcan M. (ed.) et al., Discrete and continuous models in the theory of networks. Selected contributions from the participants of the research group hosted by the ZiF – Center for Interdisciplinary Research, University of Bielefeld, Bielefeld, Germany, October 2012 – September 2017 and the final conference, University of Bielefeld, Bielefeld, Germany, November 27 – December 1, 2017. Cham: Springer (ISBN 978-3-030-44096-1/hbk; 978-3-030-44097-8/ebook). Operator Theory: Advances and Applications 281, 213-239 (2020). MSC: 47 37 PDF BibTeX XML Cite \textit{J. B. Kennedy}, Oper. Theory: Adv. Appl. 281, 213--239 (2020; Zbl 07261934) Full Text: DOI
Fischbacher, Christoph A Schrödinger operator approach to higher spin XXZ systems on general graphs. (English) Zbl 1446.82007 Abdul-Rahman, Houssam (ed.) et al., Analytic trends in mathematical physics. Arizona school of analysis and mathematical physics, University of Arizona, Tucson, AZ, USA, March 5–9, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 741, 83-103 (2020). MSC: 82B20 81V70 PDF BibTeX XML Cite \textit{C. Fischbacher}, Contemp. Math. 741, 83--103 (2020; Zbl 1446.82007) Full Text: DOI
Xu, Xu; Zhao, Xin Exponential upper bounds on the spectral gaps and homogeneous spectrum for the non-critical extended Harper’s model. (English) Zbl 1440.81041 Discrete Contin. Dyn. Syst. 40, No. 8, 4777-4800 (2020). MSC: 81Q10 47B39 82D20 81V10 35P05 PDF BibTeX XML Cite \textit{X. Xu} and \textit{X. Zhao}, Discrete Contin. Dyn. Syst. 40, No. 8, 4777--4800 (2020; Zbl 1440.81041) Full Text: DOI
Liu, Wencai; Shi, Yunfeng Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies. (English) Zbl 1441.47038 J. Spectr. Theory 9, No. 4, 1223-1248 (2019). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 37C55 82B26 PDF BibTeX XML Cite \textit{W. Liu} and \textit{Y. Shi}, J. Spectr. Theory 9, No. 4, 1223--1248 (2019; Zbl 1441.47038) Full Text: DOI
Lemm, Marius; Nachtergaele, Bruno Gapped PVBS models for all species numbers and dimensions. (English) Zbl 1434.82012 Rev. Math. Phys. 31, No. 9, Article ID 1950028, 18 p. (2019). MSC: 82B10 82B20 82D40 PDF BibTeX XML Cite \textit{M. Lemm} and \textit{B. Nachtergaele}, Rev. Math. Phys. 31, No. 9, Article ID 1950028, 18 p. (2019; Zbl 1434.82012) Full Text: DOI
Borisov, D. I. Gaps in the spectrum of the Laplacian in a strip with periodic delta interaction. (English. Russian original) Zbl 1430.35169 Proc. Steklov Inst. Math. 305, Suppl. 1, S16-S23 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 46-53 (2018). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 35J05 81Q10 PDF BibTeX XML Cite \textit{D. I. Borisov}, Proc. Steklov Inst. Math. 305, S16--S23 (2019; Zbl 1430.35169); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 46--53 (2018) Full Text: DOI
Lemm, Marius; Sandvik, Anders W.; Yang, Sibin The AKLT model on a hexagonal chain is gapped. (English) Zbl 1435.82006 J. Stat. Phys. 177, No. 6, 1077-1088 (2019). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 82D40 15A18 81V70 82B10 81P68 PDF BibTeX XML Cite \textit{M. Lemm} et al., J. Stat. Phys. 177, No. 6, 1077--1088 (2019; Zbl 1435.82006) Full Text: DOI
Ginzburg, Viktor L.; Gürel, Başak Z. Conley conjecture revisited. (English) Zbl 1428.53085 Int. Math. Res. Not. 2019, No. 3, 761-798 (2019). MSC: 53D05 37J11 37J46 PDF BibTeX XML Cite \textit{V. L. Ginzburg} and \textit{B. Z. Gürel}, Int. Math. Res. Not. 2019, No. 3, 761--798 (2019; Zbl 1428.53085) Full Text: DOI
Shi, Yunfeng; Yuan, Xiaoping Exponential decay of the lengths of the spectral gaps for the extended Harper’s model with a Liouvillean frequency. (English) Zbl 1433.37020 J. Dyn. Differ. Equations 31, No. 4, 1921-1953 (2019). MSC: 37C30 34C29 34L10 34L15 34L40 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{X. Yuan}, J. Dyn. Differ. Equations 31, No. 4, 1921--1953 (2019; Zbl 1433.37020) Full Text: DOI
Towsner, Henry Nonstandard convergence gives bounds on jumps. (English) Zbl 1440.37007 New York J. Math. 25, 651-667 (2019). Reviewer: Bolis Basit (Clayton) MSC: 37A30 37A44 11B05 PDF BibTeX XML Cite \textit{H. Towsner}, New York J. Math. 25, 651--667 (2019; Zbl 1440.37007) Full Text: Link arXiv
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio Surgery principles for the spectral analysis of quantum graphs. (English) Zbl 1451.34029 Trans. Am. Math. Soc. 372, No. 7, 5153-5197 (2019). Reviewer: Jonathan Rohleder (Stockholm) MSC: 34B45 05C50 35P15 81Q35 34L15 PDF BibTeX XML Cite \textit{G. Berkolaiko} et al., Trans. Am. Math. Soc. 372, No. 7, 5153--5197 (2019; Zbl 1451.34029) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine Generic colourful tori and inverse spectral transform for Hankel operators. (English) Zbl 1409.35045 Tunis. J. Math. 1, No. 3, 347-372 (2019). MSC: 35B65 37K15 47B35 PDF BibTeX XML Cite \textit{P. Gérard} and \textit{S. Grellier}, Tunis. J. Math. 1, No. 3, 347--372 (2019; Zbl 1409.35045) Full Text: DOI
Rachid, Assel Absolute continuity of the magnetic Schrödinger operator with periodic potential. (English) Zbl 1428.35242 Korean J. Math. 26, No. 4, 601-614 (2018). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 35J10 81Q10 PDF BibTeX XML Cite \textit{A. Rachid}, Korean J. Math. 26, No. 4, 601--614 (2018; Zbl 1428.35242) Full Text: DOI
Exner, Pavel; Khrabustovskyi, Andrii Gap control by singular Schrödinger operators in a periodically structured metamaterial. (English) Zbl 1423.35263 J. Math. Phys. Anal. Geom. 14, No. 3, 270-285 (2018). MSC: 35P05 35P20 35J10 35B27 PDF BibTeX XML Cite \textit{P. Exner} and \textit{A. Khrabustovskyi}, J. Math. Phys. Anal. Geom. 14, No. 3, 270--285 (2018; Zbl 1423.35263) Full Text: DOI
Giraldi, Filippo Damped oscillations of the energy of a bosonic bath due to spectral gaps and special initial correlations. (English) Zbl 1423.81043 Open Syst. Inf. Dyn. 25, No. 3, Article ID 1850011, 33 p. (2018). MSC: 81P45 94A40 81S22 82B30 81V70 PDF BibTeX XML Cite \textit{F. Giraldi}, Open Syst. Inf. Dyn. 25, No. 3, Article ID 1850011, 33 p. (2018; Zbl 1423.81043) Full Text: DOI
Andoni, Alexandr; Naor, Assaf; Nikolov, Aleksandar; Razenshteyn, Ilya; Waingarten, Erik Data-dependent hashing via nonlinear spectral gaps. (English) Zbl 1427.68327 Diakonikolas, Ilias (ed.) et al., Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC ’18, Los Angeles, CA, USA, June 25–29, 2018. New York, NY: Association for Computing Machinery (ACM). 787-800 (2018). MSC: 68U05 68P05 68T20 PDF BibTeX XML Cite \textit{A. Andoni} et al., in: Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC '18, Los Angeles, CA, USA, June 25--29, 2018. New York, NY: Association for Computing Machinery (ACM). 787--800 (2018; Zbl 1427.68327) Full Text: DOI
Fedotov, A. A. A monodromy matrix for the almost Mathieu equation with small coupling constant. (English. Russian original) Zbl 1416.39012 Funct. Anal. Appl. 52, No. 4, 311-315 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 89-93 (2018). MSC: 39A70 39A06 81Q20 34B30 PDF BibTeX XML Cite \textit{A. A. Fedotov}, Funct. Anal. Appl. 52, No. 4, 311--315 (2018; Zbl 1416.39012); translation from Funkts. Anal. Prilozh. 52, No. 4, 89--93 (2018) Full Text: DOI
Holzmann, Markus; Lotoreichik, Vladimir Spectral analysis of photonic crystals made of thin rods. (English) Zbl 1417.35188 Asymptotic Anal. 110, No. 1-2, 83-112 (2018). MSC: 35Q60 78A60 35R30 35J10 35B20 35P30 PDF BibTeX XML Cite \textit{M. Holzmann} and \textit{V. Lotoreichik}, Asymptotic Anal. 110, No. 1--2, 83--112 (2018; Zbl 1417.35188) Full Text: DOI arXiv
Abbe, Emmanuel Community detection and stochastic block models: recent developments. (English) Zbl 1403.62110 J. Mach. Learn. Res. 18(2017-2018), Paper No. 177, 86 p. (2018). MSC: 62H30 05C80 62-02 62-07 PDF BibTeX XML Cite \textit{E. Abbe}, J. Mach. Learn. Res. 18, Paper No. 177, 86 p. (2018; Zbl 1403.62110) Full Text: Link arXiv
Conde-Alonso, José M.; Parcet, Javier; Ricard, Éric On spectral gaps of Markov maps. (English) Zbl 1429.46042 Isr. J. Math. 226, No. 1, 189-203 (2018). Reviewer: Norbert Youmbi (Loretto) MSC: 46L53 46L52 PDF BibTeX XML Cite \textit{J. M. Conde-Alonso} et al., Isr. J. Math. 226, No. 1, 189--203 (2018; Zbl 1429.46042) Full Text: DOI
Fabila-Carrasco, John Stewart; Lledó, Fernando; Post, Olaf Spectral gaps and discrete magnetic Laplacians. (English) Zbl 1385.05047 Linear Algebra Appl. 547, 183-216 (2018). MSC: 05C50 47B39 47A10 05C65 05C90 PDF BibTeX XML Cite \textit{J. S. Fabila-Carrasco} et al., Linear Algebra Appl. 547, 183--216 (2018; Zbl 1385.05047) Full Text: DOI
Boumaza, Hakim; Lafitte, Olivier The band spectrum of the periodic Airy-Schrödinger operator on the real line. (English) Zbl 1392.34094 J. Differ. Equations 264, No. 1, 455-505 (2018). Reviewer: Manfred Möller (Johannesburg) MSC: 34L40 34L05 81Q80 PDF BibTeX XML Cite \textit{H. Boumaza} and \textit{O. Lafitte}, J. Differ. Equations 264, No. 1, 455--505 (2018; Zbl 1392.34094) Full Text: DOI
Naor, Assaf A spectral gap precludes low-dimensional embeddings. (English) Zbl 1433.68312 Aronov, Boris (ed.) et al., 33rd international symposium on computational geometry. SoCG 2017, Brisbane, Australia, July 4–7, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 77, Article 50, 16 p. (2017). MSC: 68R12 05C50 15B51 46B85 PDF BibTeX XML Cite \textit{A. Naor}, LIPIcs -- Leibniz Int. Proc. Inform. 77, Article 50, 16 p. (2017; Zbl 1433.68312) Full Text: DOI arXiv
Kha, Minh; Kuchment, Peter; Raich, Andrew Green’s function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior. (English) Zbl 1394.35297 J. Spectr. Theory 7, No. 4, 1171-1233 (2017). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 35J08 35J10 35J15 47A10 81R12 PDF BibTeX XML Cite \textit{M. Kha} et al., J. Spectr. Theory 7, No. 4, 1171--1233 (2017; Zbl 1394.35297) Full Text: DOI arXiv
Lipton, Robert; Viator, Robert jun. Creating band gaps in periodic media. (English) Zbl 1386.35301 Multiscale Model. Simul. 15, No. 4, 1612-1650 (2017). MSC: 35P15 35Q60 78A48 78A45 PDF BibTeX XML Cite \textit{R. Lipton} and \textit{Robert~jun. Viator}, Multiscale Model. Simul. 15, No. 4, 1612--1650 (2017; Zbl 1386.35301) Full Text: DOI
Giraldi, Filippo Sequences of information backflow in local dephasing channels with spectral gaps. (English) Zbl 1380.81071 Int. J. Quantum Inf. 15, No. 7, Article ID 1750050, 20 p. (2017). MSC: 81P45 94A40 81S22 PDF BibTeX XML Cite \textit{F. Giraldi}, Int. J. Quantum Inf. 15, No. 7, Article ID 1750050, 20 p. (2017; Zbl 1380.81071) Full Text: DOI
Nazarov, S. A. Asymptotics of eigenvalues in spectral gaps under regular perturbations of walls of a periodic waveguide. (English. Russian original) Zbl 1439.35145 J. Math. Sci., New York 226, No. 4, 402-444 (2017); translation from Probl. Mat. Anal. 89, 63-98 (2017). Reviewer: Denis Borisov (Ufa) MSC: 35J05 35B25 35J25 35P15 81R12 35B32 35P05 PDF BibTeX XML Cite \textit{S. A. Nazarov}, J. Math. Sci., New York 226, No. 4, 402--444 (2017; Zbl 1439.35145); translation from Probl. Mat. Anal. 89, 63--98 (2017) Full Text: DOI
Gesztesy, Fritz; Zinchenko, Maxim Renormalized oscillation theory for Hamiltonian systems. (English) Zbl 1381.34050 Adv. Math. 311, 569-597 (2017). Reviewer: Manfred Möller (Johannesburg) MSC: 34C10 34B24 34L15 34L05 34L10 37J99 PDF BibTeX XML Cite \textit{F. Gesztesy} and \textit{M. Zinchenko}, Adv. Math. 311, 569--597 (2017; Zbl 1381.34050) Full Text: DOI arXiv
Egidi, Michela; Post, Olaf Asymptotic behaviour of the Hodge Laplacian spectrum on graph-like manifolds. (English) Zbl 1373.58014 J. Spectr. Theory 7, No. 2, 433-469 (2017). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 58C40 35P05 35P15 81Q10 PDF BibTeX XML Cite \textit{M. Egidi} and \textit{O. Post}, J. Spectr. Theory 7, No. 2, 433--469 (2017; Zbl 1373.58014) Full Text: DOI arXiv
Cardone, Giuseppe; Khrabustovskyi, Andrii Spectrum of a singularly perturbed periodic thin waveguide. (English) Zbl 1372.35195 J. Math. Anal. Appl. 454, No. 2, 673-694 (2017). MSC: 35P15 35P25 PDF BibTeX XML Cite \textit{G. Cardone} and \textit{A. Khrabustovskyi}, J. Math. Anal. Appl. 454, No. 2, 673--694 (2017; Zbl 1372.35195) Full Text: DOI arXiv
Nazarov, S. A. Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum. (English. Russian original) Zbl 1367.81065 Comput. Math. Math. Phys. 57, No. 1, 156-174 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 144-162 (2017). MSC: 81Q37 82D77 35J05 35P05 81Q10 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 57, No. 1, 156--174 (2017; Zbl 1367.81065); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 144--162 (2017) Full Text: DOI
Nowak, Piotr W.; Sawicki, Damian Warped cones and spectral gaps. (English) Zbl 1368.46025 Proc. Am. Math. Soc. 145, No. 2, 817-823 (2017). MSC: 46B85 37C85 37A30 PDF BibTeX XML Cite \textit{P. W. Nowak} and \textit{D. Sawicki}, Proc. Am. Math. Soc. 145, No. 2, 817--823 (2017; Zbl 1368.46025) Full Text: DOI arXiv
Zheng, Hui; Zhang, Chuanzeng; Wang, Yuesheng; Sladek, Jan; Sladek, Vladimir Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method. (English) Zbl 1403.65184 Eng. Anal. Bound. Elem. 66, 77-90 (2016). MSC: 65N35 74J15 82D25 PDF BibTeX XML Cite \textit{H. Zheng} et al., Eng. Anal. Bound. Elem. 66, 77--90 (2016; Zbl 1403.65184) Full Text: DOI
Dymarskii, Yakov M.; Evtushenko, Yulia A. Foliation of the space of periodic boundary-value problems by hypersurfaces corresponding to fixed lengths of the \(n\)th spectral lacuna. (English. Russian original) Zbl 1366.34039 Sb. Math. 207, No. 5, 678-701 (2016); translation from Mat. Sb. 207, No. 5, 43-68 (2016). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34B24 34L40 34L05 PDF BibTeX XML Cite \textit{Y. M. Dymarskii} and \textit{Y. A. Evtushenko}, Sb. Math. 207, No. 5, 678--701 (2016; Zbl 1366.34039); translation from Mat. Sb. 207, No. 5, 43--68 (2016) Full Text: DOI
Khrabustovskyi, Andrii; Plum, Michael Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane. (English) Zbl 1341.47058 Asymptotic Anal. 98, No. 1-2, 91-130 (2016). MSC: 47F05 35P20 PDF BibTeX XML Cite \textit{A. Khrabustovskyi} and \textit{M. Plum}, Asymptotic Anal. 98, No. 1--2, 91--130 (2016; Zbl 1341.47058) Full Text: DOI
Raikov, Georgi Spectral asymptotics for waveguides with perturbed periodic twisting. (English) Zbl 1337.35105 J. Spectr. Theory 6, No. 2, 331-372 (2016). MSC: 35P20 81Q10 35J10 PDF BibTeX XML Cite \textit{G. Raikov}, J. Spectr. Theory 6, No. 2, 331--372 (2016; Zbl 1337.35105) Full Text: DOI arXiv
Li, Chong; Li, Shujie Gaps of consecutive eigenvalues of Laplace operator and the existence of multiple solutions for superlinear elliptic problem. (English) Zbl 1336.35261 J. Funct. Anal. 271, No. 2, 245-263 (2016). MSC: 35P05 35A15 35J91 PDF BibTeX XML Cite \textit{C. Li} and \textit{S. Li}, J. Funct. Anal. 271, No. 2, 245--263 (2016; Zbl 1336.35261) Full Text: DOI
Michelangeli, Alessandro; Monaco, Domenico Stability of closed gaps for the alternating Kronig-Penney Hamiltonian. (English) Zbl 1338.82061 Anal. Math. Phys. 6, No. 1, 67-83 (2016). MSC: 82D25 81Q10 34L40 PDF BibTeX XML Cite \textit{A. Michelangeli} and \textit{D. Monaco}, Anal. Math. Phys. 6, No. 1, 67--83 (2016; Zbl 1338.82061) Full Text: DOI
Du, Zhuoran; Wei, Juncheng Clustering layers for the Fife-Greenlee problem in \({\mathbb R}^n\). (English) Zbl 1342.35104 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 1, 107-139 (2016). Reviewer: Marlène Frigon (Montréal) MSC: 35J60 35J40 35J25 PDF BibTeX XML Cite \textit{Z. Du} and \textit{J. Wei}, Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 1, 107--139 (2016; Zbl 1342.35104) Full Text: DOI
Nazarov, S. A.; Pérez, E.; Taskinen, J. Localization effect for Dirichlet eigenfunctions in thin non-smooth domains. (English) Zbl 1338.35318 Trans. Am. Math. Soc. 368, No. 7, 4787-4829 (2016). Reviewer: Sönke Hansen (Paderborn) MSC: 35P20 35B40 35J05 PDF BibTeX XML Cite \textit{S. A. Nazarov} et al., Trans. Am. Math. Soc. 368, No. 7, 4787--4829 (2016; Zbl 1338.35318) Full Text: DOI
Khrabustovskyi, A. Asymptotically predefined spectral gaps for the Neumann Laplacian in periodic domains. (English) Zbl 1339.35098 Exner, Pavel (ed.) et al., Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10–13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4618-13-7/hbk; 978-981-4618-15-1/ebook). 267-274 (2015). MSC: 35J05 35P05 81Q10 PDF BibTeX XML Cite \textit{A. Khrabustovskyi}, in: Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10--13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific. 267--274 (2015; Zbl 1339.35098) Full Text: DOI
Rohan, E.; Cimrman, R.; Miara, B. Modelling response of phononic Reissner-Mindlin plates using a spectral decomposition. (English) Zbl 1338.74082 Appl. Math. Comput. 258, 617-630 (2015). MSC: 74K20 74E30 PDF BibTeX XML Cite \textit{E. Rohan} et al., Appl. Math. Comput. 258, 617--630 (2015; Zbl 1338.74082) Full Text: DOI
Antoniuk, Sylwia; Łuczak, Tomasz; Świątkowski, Jacek Random triangular groups. (English) Zbl 1334.20077 Benedetti, Bruno (ed.) et al., Combinatorial methods in topology and algebra. Based on the presentations at the INdAM conference, CoMeTa 2013, Cortona, Italy, September 2013. Cham: Springer (ISBN 978-3-319-20154-2/hbk; 978-3-319-20155-9/ebook). Springer INdAM Series 12, 15-18 (2015). MSC: 20P05 20F05 20F69 20F67 05C80 PDF BibTeX XML Cite \textit{S. Antoniuk} et al., Springer INdAM Ser. 12, 15--18 (2015; Zbl 1334.20077) Full Text: DOI
Bakharev, F. L.; Nazarov, St. A. Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. (English. Russian original) Zbl 1327.35262 Sib. Math. J. 56, No. 4, 575-592 (2015); translation from Sib. Mat. Zh. 56, No. 4, 732-751 (2015). MSC: 35P05 35J05 PDF BibTeX XML Cite \textit{F. L. Bakharev} and \textit{St. A. Nazarov}, Sib. Math. J. 56, No. 4, 575--592 (2015; Zbl 1327.35262); translation from Sib. Mat. Zh. 56, No. 4, 732--751 (2015) Full Text: DOI
Exner, Pavel; Khrabustovskyi, Andrii On the spectrum of narrow Neumann waveguide with periodically distributed \(\delta^\prime\) traps. (English) Zbl 1325.81091 J. Phys. A, Math. Theor. 48, No. 31, Article ID 315301, 13 p. (2015). MSC: 81Q37 81Q05 46F10 81Q10 PDF BibTeX XML Cite \textit{P. Exner} and \textit{A. Khrabustovskyi}, J. Phys. A, Math. Theor. 48, No. 31, Article ID 315301, 13 p. (2015; Zbl 1325.81091) Full Text: DOI arXiv
Mimura, Masato Sphere equivalence, Banach expanders, and extrapolation. (English) Zbl 1334.46020 Int. Math. Res. Not. 2015, No. 12, 4372-4391 (2015). Reviewer: Florent P. Baudier (College Station) MSC: 46B85 20C99 05C12 PDF BibTeX XML Cite \textit{M. Mimura}, Int. Math. Res. Not. 2015, No. 12, 4372--4391 (2015; Zbl 1334.46020) Full Text: DOI arXiv
Barseghyan, Diana; Khrabustovskyi, Andrii Gaps in the spectrum of a periodic quantum graph with periodically distributed \(\delta^{\prime}\)-type interactions. (English) Zbl 1316.05057 J. Phys. A, Math. Theor. 48, No. 25, Article ID 255201, 19 p. (2015). MSC: 05C25 81R99 PDF BibTeX XML Cite \textit{D. Barseghyan} and \textit{A. Khrabustovskyi}, J. Phys. A, Math. Theor. 48, No. 25, Article ID 255201, 19 p. (2015; Zbl 1316.05057) Full Text: DOI arXiv
Anahtarci, Berkay; Djakov, Plamen Asymptotics of spectral gaps of 1D Dirac operator whose potential is a linear combination of two exponential terms. (English) Zbl 1317.81118 Asymptotic Anal. 92, No. 1-2, 141-160 (2015). MSC: 81Q10 34L40 34L20 PDF BibTeX XML Cite \textit{B. Anahtarci} and \textit{P. Djakov}, Asymptotic Anal. 92, No. 1--2, 141--160 (2015; Zbl 1317.81118) Full Text: DOI arXiv
Hempel, Rainer; Kohlmann, Martin; Stautz, Marko; Voigt, Jürgen Bound states for nano-tubes with a dislocation. (English) Zbl 1317.81102 J. Math. Anal. Appl. 431, No. 1, 202-227 (2015). MSC: 81Q05 81Q10 35Q41 82D20 PDF BibTeX XML Cite \textit{R. Hempel} et al., J. Math. Anal. Appl. 431, No. 1, 202--227 (2015; Zbl 1317.81102) Full Text: DOI arXiv
Barrett, Owen; McDonald, Brian; Miller, Steven J.; Ryan, Patrick; Turnage-Butterbaugh, Caroline L.; Winsor, Karl Gaps between zeros of \(\mathrm{GL}(2)\) \(L\)-functions. (English) Zbl 1380.11054 J. Math. Anal. Appl. 429, No. 1, 204-232 (2015). MSC: 11F66 11M36 PDF BibTeX XML Cite \textit{O. Barrett} et al., J. Math. Anal. Appl. 429, No. 1, 204--232 (2015; Zbl 1380.11054) Full Text: DOI arXiv
Antoniuk, Sylwia; Łuczak, Tomasz; Świątkowski, Jacek Random triangular groups at density \(1/3\). (English) Zbl 1334.20076 Compos. Math. 151, No. 1, 167-178 (2015). MSC: 20P05 20F05 20F69 20F67 05C80 PDF BibTeX XML Cite \textit{S. Antoniuk} et al., Compos. Math. 151, No. 1, 167--178 (2015; Zbl 1334.20076) Full Text: DOI arXiv
Kıraç, Alp Arslan On the asymptotic simplicity of periodic eigenvalues and Titchmarsh’s formula. (English) Zbl 1315.34092 J. Math. Anal. Appl. 425, No. 1, 440-450 (2015). MSC: 34L15 34B24 34L05 PDF BibTeX XML Cite \textit{A. A. Kıraç}, J. Math. Anal. Appl. 425, No. 1, 440--450 (2015; Zbl 1315.34092) Full Text: DOI
Helfgott, Harald A.; Seress, Ákos; Zuk, Andrzej Random generators of the symmetric group: diameter, mixing time and spectral gap. (English) Zbl 1310.20003 J. Algebra 421, 349-368 (2015). MSC: 20B30 20P05 20F05 05C25 PDF BibTeX XML Cite \textit{H. A. Helfgott} et al., J. Algebra 421, 349--368 (2015; Zbl 1310.20003) Full Text: DOI arXiv
Breuillard, Emmanuel Diophantine geometry and uniform growth of finite and infinite groups. (English) Zbl 1373.22019 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 27-50 (2014). MSC: 22E40 11G50 PDF BibTeX XML Cite \textit{E. Breuillard}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 27--50 (2014; Zbl 1373.22019)
Mikhailets, Vladimir; Molyboga, Volodymyr Spectral gaps of the Hill-Schrödinger operators with distributional potentials. (English) Zbl 1324.47080 Methods Funct. Anal. Topol. 20, No. 4, 321-327 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 47A75 34L40 PDF BibTeX XML Cite \textit{V. Mikhailets} and \textit{V. Molyboga}, Methods Funct. Anal. Topol. 20, No. 4, 321--327 (2014; Zbl 1324.47080) Full Text: arXiv
Khrabustovskyi, Andrii Opening up and control of spectral gaps of the Laplacian in periodic domains. (English) Zbl 1315.35213 J. Math. Phys. 55, No. 12, 121502, 23 p. (2014). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35Q60 35J05 35P20 PDF BibTeX XML Cite \textit{A. Khrabustovskyi}, J. Math. Phys. 55, No. 12, 121502, 23 p. (2014; Zbl 1315.35213) Full Text: DOI arXiv
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J. Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. (English) Zbl 1307.65002 Ann. Appl. Probab. 24, No. 6, 2455-2490 (2014). Reviewer: Jaromir Antoch (Praha) MSC: 65C05 65C40 60J22 60G50 60G60 PDF BibTeX XML Cite \textit{M. Hairer} et al., Ann. Appl. Probab. 24, No. 6, 2455--2490 (2014; Zbl 1307.65002) Full Text: DOI Euclid arXiv
Chen, Jinwen; Jian, Siqi A remark on quasi-ergodicity of ultracontractive Markov processes. (English) Zbl 1326.60108 Stat. Probab. Lett. 87, 184-190 (2014). MSC: 60J25 60J35 60J65 60J70 60F15 PDF BibTeX XML Cite \textit{J. Chen} and \textit{S. Jian}, Stat. Probab. Lett. 87, 184--190 (2014; Zbl 1326.60108) Full Text: DOI
Naor, Assaf Comparison of metric spectral gaps. (English) Zbl 1316.46023 Anal. Geom. Metr. Spaces 2, 1-52 (2014). MSC: 46B85 15B51 05C12 05C50 PDF BibTeX XML Cite \textit{A. Naor}, Anal. Geom. Metr. Spaces 2, 1--52 (2014; Zbl 1316.46023) Full Text: DOI arXiv
Bakharev, F. L. Spectral gaps in the Dirichlet problem for the biharmonic operator on a plane periodically perforated by circular holes. (English. Russian original) Zbl 1285.35118 Vestn. St. Petersbg. Univ., Math. 46, No. 2, 76-84 (2013); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 2, 40-49 (2013). MSC: 35Q74 35P05 35J58 74K20 PDF BibTeX XML Cite \textit{F. L. Bakharev}, Vestn. St. Petersbg. Univ., Math. 46, No. 2, 76--84 (2013; Zbl 1285.35118); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 2, 40--49 (2013) Full Text: DOI
Niikuni, Hiroaki On the degenerate spectral gaps of the 1D Schrödinger operators with 4-term periodic delta potentials. (English) Zbl 1292.34084 Far East J. Math. Sci. (FJMS) 78, No. 1, 131-155 (2013). Reviewer: Satyanad Kichenassamy (Reims) MSC: 34L40 34L15 PDF BibTeX XML Cite \textit{H. Niikuni}, Far East J. Math. Sci. (FJMS) 78, No. 1, 131--155 (2013; Zbl 1292.34084) Full Text: Link
Mendel, Manor; Naor, Assaf Spectral calculus and Lipschitz extension for barycentric metric spaces. (English) Zbl 1297.54037 Anal. Geom. Metr. Spaces 1, 163-199 (2013). Reviewer: Jiří Spurný (Praha) MSC: 54C20 53C21 46B85 PDF BibTeX XML Cite \textit{M. Mendel} and \textit{A. Naor}, Anal. Geom. Metr. Spaces 1, 163--199 (2013; Zbl 1297.54037) Full Text: DOI arXiv
Bakharev, F. L.; Nazarov, S. A.; Ruotsalainen, K. M. A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide. (English) Zbl 1302.35266 Appl. Anal. 92, No. 9, 1889-1915 (2013). MSC: 35P05 34E05 34E10 76M45 PDF BibTeX XML Cite \textit{F. L. Bakharev} et al., Appl. Anal. 92, No. 9, 1889--1915 (2013; Zbl 1302.35266) Full Text: DOI arXiv
Nazarov, S. A. The localization for eigenfunctions of the Dirichlet problem in thin polyhedra near the vertices. (English. Russian original) Zbl 1307.35178 Sib. Math. J. 54, No. 3, 517-532 (2013); translation from Sib. Mat. Zh. 54, No. 3, 655-672 (2013). MSC: 35P15 35P20 35J25 35P05 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Sib. Math. J. 54, No. 3, 517--532 (2013; Zbl 1307.35178); translation from Sib. Mat. Zh. 54, No. 3, 655--672 (2013) Full Text: DOI
Helffer, Bernard; Kordyukov, Yuri A. Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator. (English) Zbl 1325.35123 Asymptotic Anal. 82, No. 1-2, 65-89 (2013). Reviewer: Takashi Ichinose (Kanazawa) MSC: 35P15 35J10 81Q10 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Asymptotic Anal. 82, No. 1--2, 65--89 (2013; Zbl 1325.35123) Full Text: DOI arXiv
Khrabustovskyi, Andrii Periodic elliptic operators with asymptotically preassigned spectrum. (English) Zbl 1276.47063 Asymptotic Anal. 82, No. 1-2, 1-37 (2013). Reviewer: Dian K. Palagachev (Bari) MSC: 47F05 35P99 PDF BibTeX XML Cite \textit{A. Khrabustovskyi}, Asymptotic Anal. 82, No. 1--2, 1--37 (2013; Zbl 1276.47063) Full Text: DOI arXiv
Nazarov, S. A. On the spectrum of the Laplace operator on an infinite Dirichlet lattice. (On the spectrum of the Laplace operator on the infinite Dirichlet ladder.) (English. Russian original) Zbl 1273.35195 St. Petersbg. Math. J. 23, No. 6, 1023-1045 (2012); translation from Algebra Anal. 23, No. 6, 144-177 (2011). MSC: 35P05 35J05 35J10 PDF BibTeX XML Cite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 23, No. 6, 1023--1045 (2012; Zbl 1273.35195); translation from Algebra Anal. 23, No. 6, 144--177 (2011) Full Text: DOI
Hare, Kathryn E.; Steinhurst, Benjamin A.; Teplyaev, Alexander; Zhou, Denglin Disconnected Julia sets and gaps in the spectrum of Laplacians on symmetric finitely ramified fractals. (English) Zbl 1271.28005 Math. Res. Lett. 19, No. 3, 537-553 (2012). MSC: 28A80 35J05 35P05 PDF BibTeX XML Cite \textit{K. E. Hare} et al., Math. Res. Lett. 19, No. 3, 537--553 (2012; Zbl 1271.28005) Full Text: DOI arXiv
Nazarov, S. A. Asymptotics of eigenfrequencies that arise in gaps caused by a perturbation of a periodic waveguide. (English. Russian summary) Zbl 1398.35039 Dokl. Math. 86, No. 3, 871-875 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 4, 382-386 (2012). MSC: 35J25 35B25 35C20 35P05 78A35 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Dokl. Math. 86, No. 3, 871--875 (2012; Zbl 1398.35039); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 4, 382--386 (2012) Full Text: DOI
Mikhailets, Vladimir; Molyboga, Volodymyr Smoothness of Hill’s potential and lengths of spectral gaps. (English) Zbl 1270.34199 Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 469-479 (2012). Reviewer: Roger A. Nichols (Chattanooga) MSC: 34L40 47A10 34L05 47A75 PDF BibTeX XML Cite \textit{V. Mikhailets} and \textit{V. Molyboga}, Oper. Theory: Adv. Appl. 221, 469--479 (2012; Zbl 1270.34199) Full Text: DOI arXiv
Hempel, Rainer; Kohlmann, Martin Dislocation problems for periodic Schrödinger operators and mathematical aspects of small angle grain boundaries. (English) Zbl 1256.35013 Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 421-432 (2012). MSC: 35J10 35P20 81Q10 PDF BibTeX XML Cite \textit{R. Hempel} and \textit{M. Kohlmann}, Oper. Theory: Adv. Appl. 221, 421--432 (2012; Zbl 1256.35013) Full Text: DOI arXiv
Miranda, Pablo; Raikov, Georgi Discrete spectrum of quantum Hall effect Hamiltonians. II: Periodic edge potentials. (English) Zbl 1256.81046 Asymptotic Anal. 79, No. 3-4, 325-345 (2012). MSC: 81Q10 81V70 81Q05 81Q15 35J10 PDF BibTeX XML Cite \textit{P. Miranda} and \textit{G. Raikov}, Asymptotic Anal. 79, No. 3--4, 325--345 (2012; Zbl 1256.81046) Full Text: DOI arXiv
Giani, Stefano Convergent adaptive finite element methods for photonic crystal applications. (English) Zbl 1256.65094 Math. Models Methods Appl. Sci. 22, No. 10, 1250028, 37 p. (2012). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N12 65N25 65N30 65N50 35P15 35Q61 35R05 82D25 78A25 78M10 PDF BibTeX XML Cite \textit{S. Giani}, Math. Models Methods Appl. Sci. 22, No. 10, 1250028, 37 p. (2012; Zbl 1256.65094) Full Text: DOI
Brown, B. M.; Eastham, M. S. P. Generalised Meissner equations with an eigenvalue-inducing interface. (English) Zbl 1263.34031 Brown, B. Malcolm (ed.) et al., Spectral theory, function spaces and inequalities. New techniques and recent trends. Dedicated to David Edmund and Des Evans to their 80th and 70th birthdays. Berlin: Springer (ISBN 978-3-0348-0262-8/hbk; 978-3-0348-0263-5/ebook). Operator Theory: Advances and Applications 219, 1-20 (2012). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34B24 34L05 34L15 PDF BibTeX XML Cite \textit{B. M. Brown} and \textit{M. S. P. Eastham}, Oper. Theory: Adv. Appl. 219, 1--20 (2012; Zbl 1263.34031) Full Text: DOI
Helffer, Bernard; Kordyukov, Yuri A. Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells. (English) Zbl 1247.35084 Commun. Partial Differ. Equations 37, No. 4-6, 1057-1095 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P20 35J10 47F05 81Q10 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Commun. Partial Differ. Equations 37, No. 4--6, 1057--1095 (2012; Zbl 1247.35084) Full Text: DOI arXiv
Kondo, Takefumi CAT(0) spaces and expanders. (English) Zbl 1284.20043 Math. Z. 271, No. 1-2, 343-355 (2012). MSC: 20F65 58E20 20P05 53C23 PDF BibTeX XML Cite \textit{T. Kondo}, Math. Z. 271, No. 1--2, 343--355 (2012; Zbl 1284.20043) Full Text: DOI
Chen, Duo-Yuan; Huang, Min-Jei Comparison theorems for the eigenvalue gap of Schrödinger operators on the real line. (English) Zbl 1242.81081 Ann. Henri Poincaré 13, No. 1, 85-101 (2012). MSC: 81Q10 81Q05 11B05 PDF BibTeX XML Cite \textit{D.-Y. Chen} and \textit{M.-J. Huang}, Ann. Henri Poincaré 13, No. 1, 85--101 (2012; Zbl 1242.81081) Full Text: DOI
Poltoratski, Alexei Spectral gaps for sets and measures. (English) Zbl 1245.42008 Acta Math. 208, No. 1, 151-209 (2012). Reviewer: Kathryn Hare (Waterloo) MSC: 42A38 43A05 47B35 PDF BibTeX XML Cite \textit{A. Poltoratski}, Acta Math. 208, No. 1, 151--209 (2012; Zbl 1245.42008) Full Text: DOI
Djakov, Plamen; Mityagin, Boris 1D Dirac operators with special periodic potentials. (English) Zbl 1256.47029 Bull. Pol. Acad. Sci., Math. 60, No. 1, 59-75 (2012). Reviewer: Miyeon Kwon (Platteville) MSC: 47E05 34L40 PDF BibTeX XML Cite \textit{P. Djakov} and \textit{B. Mityagin}, Bull. Pol. Acad. Sci., Math. 60, No. 1, 59--75 (2012; Zbl 1256.47029) Full Text: DOI arXiv
Khrabustovskyi, Andrii Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator. (English) Zbl 1252.58016 J. Differ. Equations 252, No. 3, 2339-2369 (2012). MSC: 58J50 PDF BibTeX XML Cite \textit{A. Khrabustovskyi}, J. Differ. Equations 252, No. 3, 2339--2369 (2012; Zbl 1252.58016) Full Text: DOI arXiv
Mikhailets, V. A.; Molyboga, V. M. Hill’s potentials in Hörmander spaces and their spectral gaps. (English) Zbl 1249.47028 Methods Funct. Anal. Topol. 17, No. 3, 235-243 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 34L40 47A75 PDF BibTeX XML Cite \textit{V. A. Mikhailets} and \textit{V. M. Molyboga}, Methods Funct. Anal. Topol. 17, No. 3, 235--243 (2011; Zbl 1249.47028)
Kassabov, Martin Subspace arrangements and property T. (English) Zbl 1244.20041 Groups Geom. Dyn. 5, No. 2, 445-477 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 20F65 20F05 20F55 22D10 PDF BibTeX XML Cite \textit{M. Kassabov}, Groups Geom. Dyn. 5, No. 2, 445--477 (2011; Zbl 1244.20041) Full Text: DOI
Puig, Joaquim; Simó, Carles Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. (English) Zbl 1237.37023 J. Dyn. Differ. Equations 23, No. 3, 649-669 (2011). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37B55 35J10 37M25 PDF BibTeX XML Cite \textit{J. Puig} and \textit{C. Simó}, J. Dyn. Differ. Equations 23, No. 3, 649--669 (2011; Zbl 1237.37023) Full Text: DOI
Goldstein, Michael; Schlag, Wilhelm On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations. (English) Zbl 1268.82013 Ann. Math. (2) 173, No. 1, 337-475 (2011). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B44 39A70 47B39 47N50 81Q10 PDF BibTeX XML Cite \textit{M. Goldstein} and \textit{W. Schlag}, Ann. Math. (2) 173, No. 1, 337--475 (2011; Zbl 1268.82013) Full Text: DOI arXiv
Hou, Songbo Critical metrics of the eigenvalue gaps of Laplace-Beltrami operators. (English) Zbl 1223.49054 Math. Nachr. 284, No. 11-12, 1446-1452 (2011). MSC: 49R05 49Q20 35P99 58J50 PDF BibTeX XML Cite \textit{S. Hou}, Math. Nachr. 284, No. 11--12, 1446--1452 (2011; Zbl 1223.49054) Full Text: DOI
Bruneau, Vincent; Miranda, Pablo L.; Raikov, Georgi D. Discrete spectrum of quantum Hall effect Hamiltonians. I: Monotone edge potentials. (English) Zbl 1219.35158 J. Spectr. Theory 1, No. 3, 237-272 (2011). MSC: 35P20 35J10 47F05 81Q10 PDF BibTeX XML Cite \textit{V. Bruneau} et al., J. Spectr. Theory 1, No. 3, 237--272 (2011; Zbl 1219.35158) Full Text: DOI arXiv
Hempel, Rainer; Kohlmann, Martin Spectral properties of grain boundaries at small angles of rotation. (English) Zbl 1222.35133 J. Spectr. Theory 1, No. 2, 197-219 (2011). MSC: 35P20 35J10 81Q10 PDF BibTeX XML Cite \textit{R. Hempel} and \textit{M. Kohlmann}, J. Spectr. Theory 1, No. 2, 197--219 (2011; Zbl 1222.35133) Full Text: DOI arXiv
Demanet, Laurent; Peyré, Gabriel Compressive wave computation. (English) Zbl 1222.65108 Found. Comput. Math. 11, No. 3, 257-303 (2011). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65M70 35L05 35P10 76Q05 76M22 PDF BibTeX XML Cite \textit{L. Demanet} and \textit{G. Peyré}, Found. Comput. Math. 11, No. 3, 257--303 (2011; Zbl 1222.65108) Full Text: DOI arXiv
Hempel, Rainer; Kohlmann, Martin A variational approach to dislocation problems for periodic Schrödinger operators. (English) Zbl 1220.35028 J. Math. Anal. Appl. 381, No. 1, 166-178 (2011). MSC: 35J10 35P05 81Q10 35A15 PDF BibTeX XML Cite \textit{R. Hempel} and \textit{M. Kohlmann}, J. Math. Anal. Appl. 381, No. 1, 166--178 (2011; Zbl 1220.35028) Full Text: DOI arXiv
Blank, Carsten; Chirilus-Bruckner, Martina; Lescarret, Vincent; Schneider, Guido Breather solutions in periodic media. (English) Zbl 1223.35234 Commun. Math. Phys. 302, No. 3, 815-841 (2011). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35L71 35Q51 35B27 35B32 37K50 PDF BibTeX XML Cite \textit{C. Blank} et al., Commun. Math. Phys. 302, No. 3, 815--841 (2011; Zbl 1223.35234) Full Text: DOI
Puig, Joaquim; Simó, Carles Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. (English) Zbl 1232.37012 Regul. Chaotic Dyn. 16, No. 1-2, 61-78 (2011). Reviewer: Antonio Linero Bas (Murcia) MSC: 37B55 35J10 34B30 65L99 PDF BibTeX XML Cite \textit{J. Puig} and \textit{C. Simó}, Regul. Chaotic Dyn. 16, No. 1--2, 61--78 (2011; Zbl 1232.37012) Full Text: DOI
Cho, Sung-Jin; Choi, Un-Sook; Kim, Han-Doo; Hwang, Yoon-Hee; Kim, Jin-Gyoung. 60/102 null boundary cellular automata based expander graphs. (English) Zbl 1323.68391 Fatès, Nazim (ed.) et al., Automata 2010. Selected papers based on the presentations at the 16th international workshop on cellular automata (CA) and discrete complex systems (DCS), Nancy, France, June 14–16, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 19-28, electronic only (2010). MSC: 68Q80 68R10 PDF BibTeX XML Cite \textit{S.-J. Cho} et al., in: Automata 2010. Selected papers based on the presentations at the 16th international workshop on cellular automata (CA) and discrete complex systems (DCS), Nancy, France, June 14--16, 2010. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 19--28 (2010; Zbl 1323.68391) Full Text: Link
Badanin, A. V.; Korotyaev, E. L. A magnetic Schrödinger operator on a periodic graph. (English. Russian original) Zbl 1214.34024 Sb. Math. 201, No. 10, 1403-1448 (2010); translation from Mat. Sb. 201, No. 10, 3-46 (2010). Reviewer: Mihai Pascu (Bucureşti) MSC: 34B45 34L05 34L40 81Q10 PDF BibTeX XML Cite \textit{A. V. Badanin} and \textit{E. L. Korotyaev}, Sb. Math. 201, No. 10, 1403--1448 (2010; Zbl 1214.34024); translation from Mat. Sb. 201, No. 10, 3--46 (2010) Full Text: DOI
Cardone, Giuseppe; Nazarov, Sergey A.; Perugia, Carmen A gap in the essential spectrum of a cylindrical waveguide with a periodic perturbation of the surface. (English) Zbl 1213.35327 Math. Nachr. 283, No. 9, 1222-1244 (2010). Reviewer: Gianfranco Bottaro (Genova) MSC: 35P05 47A75 49R05 35J05 35J25 PDF BibTeX XML Cite \textit{G. Cardone} et al., Math. Nachr. 283, No. 9, 1222--1244 (2010; Zbl 1213.35327) Full Text: DOI arXiv
Birman, M. Sh.; Sloushch, V. A. Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative potential. (English) Zbl 1207.47041 Math. Model. Nat. Phenom. 5, No. 4, 32-53 (2010). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47F05 47G10 PDF BibTeX XML Cite \textit{M. Sh. Birman} and \textit{V. A. Sloushch}, Math. Model. Nat. Phenom. 5, No. 4, 32--53 (2010; Zbl 1207.47041) Full Text: DOI EuDML
Korotyaev, Evgeny L.; Kargaev, Pavel Estimates for periodic Zakharov-Shabat operators. (English) Zbl 1204.34119 J. Differ. Equations 249, No. 1, 76-93 (2010). Reviewer: Petru A. Cojuhari (Kraków) MSC: 34L40 34B24 47E05 34L05 PDF BibTeX XML Cite \textit{E. L. Korotyaev} and \textit{P. Kargaev}, J. Differ. Equations 249, No. 1, 76--93 (2010; Zbl 1204.34119) Full Text: DOI arXiv
Rugh, Hans Henrik Cones and gauges in complex spaces: spectral gaps and complex Perron-Frobenius theory. (English) Zbl 1208.15026 Ann. Math. (2) 171, No. 3, 1707-1752 (2010). Reviewer: George F. Nassopoulos (Athens) MSC: 15B48 37A30 37C30 47A75 47B65 15A18 PDF BibTeX XML Cite \textit{H. H. Rugh}, Ann. Math. (2) 171, No. 3, 1707--1752 (2010; Zbl 1208.15026) Full Text: DOI Link arXiv
Cardone, C.; Minutolo, V.; Nazarov, S. A. Gaps in the essential spectrum of periodic elastic waveguides. (English) Zbl 1189.35201 ZAMM, Z. Angew. Math. Mech. 89, No. 9, 729-741 (2009). MSC: 35P05 35Q74 74J20 PDF BibTeX XML Cite \textit{C. Cardone} et al., ZAMM, Z. Angew. Math. Mech. 89, No. 9, 729--741 (2009; Zbl 1189.35201) Full Text: DOI