Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana; Sell, Daniel Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs. (English) Zbl 1503.37035 Adv. Math. 407, Article ID 108550, 34 p. (2022). MSC: 37B51 37B10 37B05 37E25 47B36 PDFBibTeX XMLCite \textit{R. Grigorchuk} et al., Adv. Math. 407, Article ID 108550, 34 p. (2022; Zbl 1503.37035) Full Text: DOI arXiv
Damanik, David; Lenz, Daniel Absence of absolutely continuous spectrum for generic quasi-periodic Schrödinger operators on the real line. (English) Zbl 07534026 Isr. J. Math. 247, No. 2, 783-796 (2022). MSC: 47Bxx 35Qxx 34Lxx PDFBibTeX XMLCite \textit{D. Damanik} and \textit{D. Lenz}, Isr. J. Math. 247, No. 2, 783--796 (2022; Zbl 07534026) Full Text: DOI arXiv
Lenz, Daniel; Schmidt, Marcel; Wirth, Melchior Uniqueness of form extensions and domination of semigroups. (English) Zbl 07298632 J. Funct. Anal. 280, No. 6, Article ID 108848, 28 p. (2021). MSC: 47-XX 35-XX PDFBibTeX XMLCite \textit{D. Lenz} et al., J. Funct. Anal. 280, No. 6, Article ID 108848, 28 p. (2021; Zbl 07298632) Full Text: DOI arXiv
Keller, Matthias; Lenz, Daniel; Schmidt, Marcel; Schwarz, Michael Boundary representation of Dirichlet forms on discrete spaces. (English. French summary) Zbl 1418.31013 J. Math. Pures Appl. (9) 126, 109-143 (2019). MSC: 31C25 60J27 60J50 PDFBibTeX XMLCite \textit{M. Keller} et al., J. Math. Pures Appl. (9) 126, 109--143 (2019; Zbl 1418.31013) Full Text: DOI arXiv
Lenz, Daniel; Pogorzelski, Felix; Schmidt, Marcel The Ihara zeta function for infinite graphs. (English) Zbl 1409.05075 Trans. Am. Math. Soc. 371, No. 8, 5687-5729 (2019). MSC: 05C12 05C38 05C80 22D40 46L51 11M41 PDFBibTeX XMLCite \textit{D. Lenz} et al., Trans. Am. Math. Soc. 371, No. 8, 5687--5729 (2019; Zbl 1409.05075) Full Text: DOI arXiv
Beckus, Siegfried; Lenz, Daniel; Lindner, Marko; Seifert, Christian Note on spectra of non-selfadjoint operators over dynamical systems. (English) Zbl 1525.47024 Proc. Edinb. Math. Soc., II. Ser. 61, No. 2, 371-386 (2018). MSC: 47A35 47A10 47B28 47B37 PDFBibTeX XMLCite \textit{S. Beckus} et al., Proc. Edinb. Math. Soc., II. Ser. 61, No. 2, 371--386 (2018; Zbl 1525.47024) Full Text: DOI arXiv
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order. (English) Zbl 1383.05196 Math. Ann. 370, No. 3-4, 1607-1637 (2018). MSC: 05C50 PDFBibTeX XMLCite \textit{R. Grigorchuk} et al., Math. Ann. 370, No. 3--4, 1607--1637 (2018; Zbl 1383.05196) Full Text: DOI arXiv
Beckus, Siegfried; Lenz, Daniel; Lindner, Marko; Seifert, Christian On the spectrum of operator families on discrete groups over minimal dynamical systems. (English) Zbl 1489.47005 Math. Z. 287, No. 3-4, 993-1007 (2017). MSC: 47A10 47A35 47B37 PDFBibTeX XMLCite \textit{S. Beckus} et al., Math. Z. 287, No. 3--4, 993--1007 (2017; Zbl 1489.47005) Full Text: DOI arXiv
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Masamune, Jun; Schmidt, Marcel Global properties of Dirichlet forms in terms of Green’s formula. (English) Zbl 1377.31005 Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 124, 43 p. (2017). MSC: 31C25 PDFBibTeX XMLCite \textit{S. Haeseler} et al., Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 124, 43 p. (2017; Zbl 1377.31005) Full Text: DOI arXiv
Lenz, Daniel; Teplyaev, Alexander Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces. (English) Zbl 1332.81069 Trans. Am. Math. Soc. 368, No. 7, 4933-4956 (2016). MSC: 81Q35 05C63 28A80 31C25 60J45 05C22 31C20 35P05 39A12 47B25 58J35 81Q10 PDFBibTeX XMLCite \textit{D. Lenz} and \textit{A. Teplyaev}, Trans. Am. Math. Soc. 368, No. 7, 4933--4956 (2016; Zbl 1332.81069) Full Text: DOI arXiv
Georgakopoulos, Agelos; Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław K. Graphs of finite measure. (English. French summary) Zbl 1314.31017 J. Math. Pures Appl. (9) 103, No. 5, 1093-1131 (2015). MSC: 31E05 05C63 47B39 PDFBibTeX XMLCite \textit{A. Georgakopoulos} et al., J. Math. Pures Appl. (9) 103, No. 5, 1093--1131 (2015; Zbl 1314.31017) Full Text: DOI arXiv
Lenz, Daniel; Seifert, Christian; Stollmann, Peter Zero measure Cantor spectra for continuum one-dimensional quasicrystals. (English) Zbl 1351.47030 J. Differ. Equations 256, No. 6, 1905-1926 (2014). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 47B80 47A10 47A35 35J10 PDFBibTeX XMLCite \textit{D. Lenz} et al., J. Differ. Equations 256, No. 6, 1905--1926 (2014; Zbl 1351.47030) Full Text: DOI arXiv
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions. (English) Zbl 1287.47023 J. Spectr. Theory 2, No. 4, 397-432 (2012). Reviewer: Mauricio Godoy (Bergen) MSC: 47B25 05C63 PDFBibTeX XMLCite \textit{S. Haeseler} et al., J. Spectr. Theory 2, No. 4, 397--432 (2012; Zbl 1287.47023) Full Text: DOI arXiv
Boutet de Monvel, Anne; Lenz, Daniel; Stollmann, Peter An uncertainty principle, Wegner estimates and localization near fluctuation boundaries. (English) Zbl 1231.82030 Math. Z. 269, No. 3-4, 663-670 (2011). MSC: 82B44 47B80 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., Math. Z. 269, No. 3--4, 663--670 (2011; Zbl 1231.82030) Full Text: DOI arXiv
Lenz, Daniel; Veselić, Ivan Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence. (English) Zbl 1183.82082 Math. Z. 263, No. 4, 813-835 (2009). MSC: 82D20 82B43 35R60 82B44 PDFBibTeX XMLCite \textit{D. Lenz} and \textit{I. Veselić}, Math. Z. 263, No. 4, 813--835 (2009; Zbl 1183.82082) Full Text: DOI arXiv
Lenz, Daniel; Peyerimhoff, Norbert; Post, Olaf; Veselić, Ivan Continuity of the integrated density of states on random length metric graphs. (English) Zbl 1179.35333 Math. Phys. Anal. Geom. 12, No. 3, 219-254 (2009). Reviewer: Utkir Rozikov (Tashkent) MSC: 35R02 35J10 82B44 PDFBibTeX XMLCite \textit{D. Lenz} et al., Math. Phys. Anal. Geom. 12, No. 3, 219--254 (2009; Zbl 1179.35333) Full Text: DOI arXiv
Lenz, Daniel; Peyerimhoff, Norbert; Post, Olaf; Veselić, Ivan Continuity properties of the integrated density of states on manifolds. (English) Zbl 1202.35071 Jpn. J. Math. (3) 3, No. 1, 121-161 (2008). Reviewer: Monika Winklmeier (Bogotá) MSC: 35J10 82B44 35R60 47B80 35B60 58J05 PDFBibTeX XMLCite \textit{D. Lenz} et al., Jpn. J. Math. (3) 3, No. 1, 121--161 (2008; Zbl 1202.35071) Full Text: DOI arXiv
Lenz, Daniel; Peyerimhoff, Norbert; Veselić, Ivan Groupoids, von Neumann algebras and the integrated density of states. (English) Zbl 1181.46046 Math. Phys. Anal. Geom. 10, No. 1, 1-41 (2007). MSC: 46L10 47B80 35J10 46L51 82B44 46N55 81Q10 82B10 PDFBibTeX XMLCite \textit{D. Lenz} et al., Math. Phys. Anal. Geom. 10, No. 1, 1--41 (2007; Zbl 1181.46046) Full Text: DOI arXiv
Gruber, Michael J.; Lenz, Daniel H.; Veselić, Ivan Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over \(\mathbb Z^d\). (English) Zbl 1133.35030 J. Funct. Anal. 253, No. 2, 515-533 (2007). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 47B80 35P15 60H25 47A35 PDFBibTeX XMLCite \textit{M. J. Gruber} et al., J. Funct. Anal. 253, No. 2, 515--533 (2007; Zbl 1133.35030) Full Text: DOI arXiv
Baake, Michael; Lenz, Daniel; Richard, Christoph Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies. (English) Zbl 1129.37006 Lett. Math. Phys. 82, No. 1, 61-77 (2007). MSC: 37A35 37B40 52C23 PDFBibTeX XMLCite \textit{M. Baake} et al., Lett. Math. Phys. 82, No. 1, 61--77 (2007; Zbl 1129.37006) Full Text: DOI arXiv
Lenz, Daniel; Stollmann, Peter An ergodic theorem for Delone dynamical systems and existence of the integrated density of states. (English) Zbl 1131.37015 J. Anal. Math. 97, 1-24 (2006). MSC: 37B10 37A25 37N20 47B39 47B80 82B44 PDFBibTeX XMLCite \textit{D. Lenz} and \textit{P. Stollmann}, J. Anal. Math. 97, 1--24 (2006; Zbl 1131.37015) Full Text: DOI arXiv
Lenz, Daniel; Stollmann, Peter Quasicrystals, aperiodic order, and groupoid von Neumann algebras. (English. Abridged French version) Zbl 1115.53306 C. R., Math., Acad. Sci. Paris 334, No. 12, 1131-1136 (2002). MSC: 52C23 37B10 37N20 46L10 82C10 82D25 PDFBibTeX XMLCite \textit{D. Lenz} and \textit{P. Stollmann}, C. R., Math., Acad. Sci. Paris 334, No. 12, 1131--1136 (2002; Zbl 1115.53306) Full Text: DOI