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Author ID: lenz.daniel-h Recent zbMATH articles by "Lenz, Daniel H."
Published as: Lenz, Daniel; Lenz, Daniel H.; Lenz, D.; Lenz, H. Daniel
Homepage: https://www.fmi.uni-jena.de/analysis-lenz
External Links: MGP · Wikidata · Google Scholar
all top 5

Co-Authors

16 single-authored
22 Stollmann, Peter
18 Damanik, David
18 Keller, Matthias
16 Schmidt, Marcel
15 Veselić, Ivan
10 Strungaru, Nicolae
9 Baake, Michael
7 Wirth, Melchior
7 Wojciechowski, Radosław Krzysztof
6 Peyerimhoff, Norbert
5 Kellendonk, Johannes
5 Spindeler, Timo
4 Grigorchuk, Rostislav Ivanovich
4 Haeseler, Sebastian
4 Smirnova-Nagnibeda, Tatiana
3 Gruber, Michael Johannes
3 Klassert, Steffen
3 Lawson, Mark Verus
3 Moody, Robert Vaughan
3 Richard, Christoph
3 Seifert, Christian
3 Warzel, Simone
2 Beckus, Siegfried
2 Boutet de Monvel, Anne Marie
2 Oertel-Jäger, Tobias Hendrik
2 Lindner, Marko
2 Pogorzelski, Felix
2 Post, Olaf
2 Savinien, Jean
2 Schubert, Carsten
2 Schwarz, Michael Stefan
2 Stolz, Gunter
2 Wingert, Daniel
1 Aujogue, Jean-Baptiste
1 Barge, Marcy M.
1 Berthé, Valérie
1 Besbes, Adnene
1 Boshernitzan, Michael D.
1 Dodziuk, Jozef
1 Frank, Rupert L.
1 Fuhrmann, Gabriel
1 Georgakopoulos, Agelos
1 Gröger, Maik
1 Haynes, Alan K.
1 Hein, Matthias
1 Hua, Bobo
1 Huang, Xueping
1 Johnson, Russell Allan
1 Killip, Rowan
1 Kudryavtseva, Ganna
1 Lee, Jeong-Yup
1 Masáková, Zuzana
1 Masamune, Jun
1 Mugnolo, Delio
1 Müller, Peter
1 Münch, Florentin
1 Oertel, Christian
1 Pankrashkin, Konstantin
1 Pelantová, Edita
1 Puchert, Simon
1 Resende, Pedro
1 Schick, Thomas
1 Schwarzenberger, Fabian
1 Seifert, Felix
1 Sell, Daniel
1 Sing, Bernd
1 Sobieczky, Florian
1 Sollacher, Rudolf
1 Telcs, András
1 Teplyaev, Alexander
1 van Enter, Aernout C. D.
1 Vogt, Hendrik
1 Weinmann, Timon
1 Woess, Wolfgang
1 Zimmermann, Ian
all top 5

Serials

7 Ergodic Theory and Dynamical Systems
6 Communications in Mathematical Physics
6 Mathematische Zeitschrift
5 Oberwolfach Reports
4 Israel Journal of Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Mathematical Physics, Analysis and Geometry
3 Journal d’Analyse Mathématique
3 Letters in Mathematical Physics
3 Advances in Mathematics
3 Integral Equations and Operator Theory
3 Journal of Functional Analysis
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Transactions of the American Mathematical Society
3 Discrete & Computational Geometry
3 Annales Henri Poincaré
3 Journal of Spectral Theory
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Theoretical Computer Science
2 European Journal of Combinatorics
2 Calculus of Variations and Partial Differential Equations
1 Discrete Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Geometriae Dedicata
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Markov Processes and Related Fields
1 Positivity
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Grundlehren der Mathematischen Wissenschaften
1 London Mathematical Society Lecture Note Series
1 Proceedings of the Steklov Institute of Mathematics
1 Progress in Mathematics
1 Progress in Probability
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Japanese Journal of Mathematics. 3rd Series

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 1,877 times in 839 Documents Cited by Year
Dirichlet forms and stochastic completeness of graphs and subgraphs. Zbl 1252.47090
Keller, Matthias; Lenz, Daniel
124
2012
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
86
2004
Unbounded Laplacians on graphs: basic spectral properties and the heat equation. Zbl 1207.47032
Keller, M.; Lenz, D.
74
2010
Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions. Zbl 1287.47023
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław
63
2012
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory. Zbl 1304.60081
Frank, Rupert L.; Lenz, Daniel; Wingert, Daniel
61
2014
Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity. Zbl 1045.81024
Damanik, David; Killip, Rowan; Lenz, Daniel
58
2000
Pseudogroups and their étale groupoids. Zbl 1311.20059
Lawson, Mark V.; Lenz, Daniel H.
57
2013
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
54
2007
Volume growth, spectrum and stochastic completeness of infinite graphs. Zbl 1269.05051
Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław K.
45
2013
Uniform spectral properties of one-dimensional quasicrystals. I: Absence of eigenvalues. Zbl 0962.81012
Damanik, David; Lenz, Daniel
41
1999
The index of Sturmian sequences. Zbl 1002.11020
Damanik, David; Lenz, Daniel
36
2002
An ergodic theorem for Delone dynamical systems and existence of the integrated density of states. Zbl 1131.37015
Lenz, Daniel; Stollmann, Peter
35
2006
Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks. Zbl 1178.37011
Lenz, Daniel
35
2009
A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem. Zbl 1118.37009
Damanik, David; Lenz, Daniel
35
2006
On an order-based construction of a topological groupoid from an inverse semigroup. Zbl 1153.22003
Lenz, Daniel H.
35
2008
Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals. Zbl 1065.47035
Lenz, Daniel
33
2002
Pure point spectrum for measure dynamical systems on locally compact Abelian groups. Zbl 1178.37008
Lenz, Daniel; Strungaru, Nicolae
30
2009
Pure point diffraction and cut and project schemes for measures: the smooth case. Zbl 1129.28003
Lenz, Daniel; Richard, Christoph
28
2007
Uniform ergodic theorems on subshifts over a finite alphabet. Zbl 1004.37005
Lenz, Daniel
27
2002
Spectral notions of aperiodic order. Zbl 1373.37031
Baake, Michael; Lenz, Daniel
26
2017
Graphs of finite measure. Zbl 1314.31017
Georgakopoulos, Agelos; Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław K.
25
2015
Mathematics of aperiodic order. Zbl 1338.37005
24
2015
Absolutely continuous spectrum for random operators on trees of finite cone type. Zbl 1277.82030
Keller, Matthias; Lenz, Daniel; Warzel, Simone
24
2012
Uniform spectral properties of one-dimensional quasicrystals. II: The Lyapunov exponent. Zbl 1044.81036
Damanik, David; Lenz, Daniel
22
1999
Sch’nol’s theorem for strongly local forms. Zbl 1188.47003
Boutet De Monvel, Anne; Lenz, Daniel; Stollmann, Peter
22
2009
Deformation of Delone dynamical systems and pure point diffraction. Zbl 1084.37502
Baake, Michael; Lenz, Daniel
21
2005
Note on basic features of large time behaviour of heat kernels. Zbl 1369.58017
Keller, Matthias; Lenz, Daniel; Vogt, Hendrik; Wojciechowski, Radosław
21
2015
Dynamical versus diffraction spectrum for structures with finite local complexity. Zbl 1352.37033
Baake, Michael; Lenz, Daniel; van Enter, Aernout
20
2015
Equicontinuous factors, proximality and Ellis semigroup for Delone sets. Zbl 1376.37045
Aujogue, Jean-Baptiste; Barge, Marcy; Kellendonk, Johannes; Lenz, Daniel
20
2015
Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. Zbl 1122.47028
Damanik, David; Lenz, Daniel
19
2006
Substitution dynamical systems: characterization of linear repetitivity and applications. Zbl 1094.37007
Damanik, David; Lenz, Daniel
19
2006
On the spectral theory of trees with finite cone type. Zbl 1270.47003
Keller, Matthias; Lenz, Daniel; Warzel, Simone
19
2013
Delone dynamical systems and associated random operators. Zbl 1285.47044
Lenz, Daniel; Stollmann, Peter
19
2003
Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence. Zbl 1183.82082
Lenz, Daniel; Veselić, Ivan
18
2009
Graphs and discrete Dirichlet spaces. Zbl 1487.05003
Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław K.
18
2021
Powers in Sturmian sequences. Zbl 1030.68068
Damanik, David; Lenz, Daniel
17
2003
Discontinuities of the integrated density of states for random operators on Delone sets. Zbl 1098.82016
Klassert, Steffen; Lenz, Daniel; Stollmann, Peter
17
2003
Uniform existence of the integrated density of states for models on \({\mathbb{Z}}^d\). Zbl 1165.37003
Lenz, Daniel; Müller, Peter; Veselić, Ivan
16
2008
Groupoids, von Neumann algebras and the integrated density of states. Zbl 1181.46046
Lenz, Daniel; Peyerimhoff, Norbert; Veselić, Ivan
16
2007
An uncertainty principle, Wegner estimates and localization near fluctuation boundaries. Zbl 1231.82030
Boutet de Monvel, Anne; Lenz, Daniel; Stollmann, Peter
15
2011
Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order. Zbl 1383.05196
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
15
2018
Integrated density of states for random metrics on manifolds. Zbl 1119.58017
Lenz, Daniel; Peyerimhoff, Norbert; Veselić, Ivan
15
2004
Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians. Zbl 1103.81017
Lenz, Daniel; Stollmann, Peter
15
2006
Lower transport bounds for one-dimensional continuum Schrödinger operators. Zbl 1116.34066
Damanik, David; Lenz, Daniel; Stolz, Günter
15
2006
A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states. Zbl 1231.22007
Lenz, Daniel; Schwarzenberger, Fabian; Veselić, Ivan
14
2011
The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms. Zbl 1172.35045
Lenz, Daniel; Stollmann, Peter; Veselić, Ivan
14
2009
On weakly almost periodic measures. Zbl 1444.43002
Lenz, Daniel; Strungaru, Nicolae
14
2019
Random operators and crossed products. Zbl 0965.47024
Lenz, Daniel H.
13
1999
Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies. Zbl 1129.37006
Baake, Michael; Lenz, Daniel; Richard, Christoph
13
2007
Note on uniformly transient graphs. Zbl 1373.05156
Keller, Matthias; Lenz, Daniel; Schmidt, Marcel; Wojciechowski, Radosław K.
13
2017
A characterization of subshifts with bounded powers. Zbl 1344.68179
Kellendonk, J.; Lenz, D.; Savinien, J.
13
2013
Continuity of the integrated density of states on random length metric graphs. Zbl 1179.35333
Lenz, Daniel; Peyerimhoff, Norbert; Post, Olaf; Veselić, Ivan
12
2009
Equicontinuous Delone dynamical systems. Zbl 1329.37019
Kellendonk, Johannes; Lenz, Daniel
12
2013
Eigenfunction expansions for Schrödinger operators on metric graphs. Zbl 1170.47009
Lenz, Daniel; Schubert, Carsten; Stollmann, Peter
10
2008
Elliptic operators on planar graphs: unique continuation for eigenfunctions and nonpositive curvature. Zbl 1094.05016
Klassert, Steffen; Lenz, Daniel; Peyerimhoff, Norbert; Stollmann, Peter
10
2006
Global properties of Dirichlet forms in terms of Green’s formula. Zbl 1377.31005
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Masamune, Jun; Schmidt, Marcel
10
2017
Stationary processes and pure point diffraction. Zbl 1380.37020
Lenz, Daniel; Moody, Robert V.
10
2017
Algebras of random operators associated to Delone dynamical systems. Zbl 1031.46078
Lenz, Daniel; Stollmann, Peter
10
2003
Delone measures of finite local complexity and applications to spectral theory of one-dimensional continuum models of quasicrystals. Zbl 1210.81031
Klassert, Steffen; Lenz, Daniel; Stollmann, Peter
9
2011
Continuity properties of the integrated density of states on manifolds. Zbl 1202.35071
Lenz, Daniel; Peyerimhoff, Norbert; Post, Olaf; Veselić, Ivan
9
2008
Linear repetitivity. I: Uniform subadditive ergodic theorems and applications. Zbl 1182.37020
Damanik, D.; Lenz, D.
9
2001
Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over \(\mathbb Z^d\). Zbl 1133.35030
Gruber, Michael J.; Lenz, Daniel H.; Veselić, Ivan
9
2007
Toeplitz flows and model sets. Zbl 1362.37030
Baake, M.; Jäger, T.; Lenz, D.
9
2016
Schreier graphs of Grigorchuk’s group and a subshift associated to a nonprimitive substitution. Zbl 1371.05123
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
9
2017
Diffusion determines the recurrent graph. Zbl 1301.47062
Keller, Matthias; Lenz, Daniel; Schmidt, Marcel; Wirth, Melchior
9
2015
Invariant means on Boolean inverse monoids. Zbl 1342.43003
Kudryavtseva, Ganna; Lawson, Mark V.; Lenz, Daniel H.; Resende, Pedro
9
2016
Zero measure Cantor spectra for continuum one-dimensional quasicrystals. Zbl 1351.47030
Lenz, Daniel; Seifert, Christian; Stollmann, Peter
9
2014
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
9
2017
Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms. Zbl 1248.35133
Lenz, Daniel; Stollmann, Peter; Veselić, Ivan
8
2011
Compactness of Schrödinger semigroups. Zbl 1243.47070
Lenz, Daniel; Stollmann, Peter; Wingert, Daniel
8
2010
Uniform Szegő cocycles over strictly ergodic subshifts. Zbl 1108.37002
Damanik, David; Lenz, Daniel
8
2007
Extinctions and correlations for uniformly discrete point processes with pure point dynamical spectra. Zbl 1170.60036
Lenz, Daniel; Moody, Robert V.
8
2009
Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials. Zbl 1173.81315
Damanik, David; Lenz, Daniel
8
2003
The structure of mean equicontinuous group actions. Zbl 1498.37011
Fuhrmann, Gabriel; Gröger, Maik; Lenz, Daniel
8
2022
Unbounded quantum graphs with unbounded boundary conditions. Zbl 1328.47023
Lenz, Daniel; Schubert, Carsten; Veselić, Ivan
7
2014
Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces. Zbl 1332.81069
Lenz, Daniel; Teplyaev, Alexander
7
2016
Quasicrystals, aperiodic order, and groupoid von Neumann algebras. Zbl 1115.53306
Lenz, Daniel; Stollmann, Peter
7
2002
Random walks, boundaries and spectra. Proceedings of the workshop on boundaries, Graz, Austria, June 29–July 3, 2009 and the Alp-workshop, Sankt Kathrein, Austria, July 4–5, 2009. Zbl 1214.05001
6
2011
Half-line eigenfunction estimates and purely singular continuous spectrum of zero Lebesgue measure. Zbl 1047.81021
Damanik, David; Lenz, Daniel
6
2004
Aperiodic linearly repetitive Delone sets are densely repetitive. Zbl 1052.37013
Lenz, Daniel
6
2004
Hierarchical structures in Sturmian dynamical systems. Zbl 1027.37006
Lenz, Daniel
6
2003
Delone sets with finite local complexity: Linear repetitivity versus positivity of weights. Zbl 1291.37012
Besbes, Adnene; Boshernitzan, Michael; Lenz, Daniel
6
2013
Existence of non-uniform cocycles on uniquely ergodic systems. Zbl 1042.37002
Lenz, Daniel
5
2004
On the spectrum of operator families on discrete groups over minimal dynamical systems. Zbl 1489.47005
Beckus, Siegfried; Lenz, Daniel; Lindner, Marko; Seifert, Christian
5
2017
Boundary representation of Dirichlet forms on discrete spaces. Zbl 1418.31013
Keller, Matthias; Lenz, Daniel; Schmidt, Marcel; Schwarz, Michael
5
2019
Model sets with positive entropy in Euclidean cut and project schemes. Zbl 1450.37014
Jäger, Tobias; Lenz, Daniel; Oertel, Christian
5
2019
Aperiodic order via dynamical systems: diffraction for sets of finite local complexity. Zbl 1200.78008
Lenz, Daniel
4
2009
Uniform existence of the integrated density of states for combinatorial and metric graphs over \(\mathbb Z^d\). Zbl 1166.47038
Gruber, Michael J.; Lenz, Daniel H.; Veselić, Ivan
4
2008
New relations between discrete and continuous transition operators on (metric) graphs. Zbl 1338.47004
Lenz, Daniel; Pankrashkin, Konstantin
4
2016
The Ihara zeta function for infinite graphs. Zbl 1409.05075
Lenz, Daniel; Pogorzelski, Felix; Schmidt, Marcel
4
2019
Domination of quadratic forms. Zbl 1518.47005
Lenz, Daniel; Schmidt, Marcel; Wirth, Melchior
4
2020
Aperiodic order and uniform spectral properties of quasicrystals. (Aperiodische Ordnung und gleichmäßige spektrale Eigenschaften von Quasikristallen.) Zbl 1058.37500
Lenz, Daniel
3
2000
Note on the set of Bragg peaks with high intensity. Zbl 1341.82081
Lenz, Daniel; Strungaru, Nicolae
3
2016
Note on short-time behavior of semigroups associated to self-adjoint operators. Zbl 1381.60115
Keller, Matthias; Lenz, Daniel; Münch, Florentin; Schmidt, Marcel; Telcs, András
3
2016
An autocorrelation and a discrete spectrum for dynamical systems on metric spaces. Zbl 1487.37009
Lenz, Daniel
3
2021
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms. Zbl 1432.35146
Lenz, H. Daniel; Stollmann, Peter R. M.
3
2019
Spectral theory of dynamical systems as diffraction theory of sampling functions. Zbl 1445.37010
Lenz, D.
3
2020
Note on spectra of non-selfadjoint operators over dynamical systems. Zbl 1525.47024
Beckus, Siegfried; Lenz, Daniel; Lindner, Marko; Seifert, Christian
3
2018
Ergodic theory and discrete one-dimensional random Schrödinger operators: uniform existence of the Lyapunov exponent. Zbl 1041.81029
Lenz, Daniel
2
2003
Random Schrödinger operators on manifolds. Zbl 1064.58029
Lenz, D.; Peyerimhoff, N.; Veselić, I.
2
2003
Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source. Zbl 1512.35120
Lenz, Daniel; Schmidt, Marcel; Zimmermann, Ian
1
2023
The structure of mean equicontinuous group actions. Zbl 1498.37011
Fuhrmann, Gabriel; Gröger, Maik; Lenz, Daniel
8
2022
Graphs and discrete Dirichlet spaces. Zbl 1487.05003
Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław K.
18
2021
An autocorrelation and a discrete spectrum for dynamical systems on metric spaces. Zbl 1487.37009
Lenz, Daniel
3
2021
Uniqueness of form extensions and domination of semigroups. Zbl 07298632
Lenz, Daniel; Schmidt, Marcel; Wirth, Melchior
2
2021
Domination of quadratic forms. Zbl 1518.47005
Lenz, Daniel; Schmidt, Marcel; Wirth, Melchior
4
2020
Spectral theory of dynamical systems as diffraction theory of sampling functions. Zbl 1445.37010
Lenz, D.
3
2020
Modulated crystals and almost periodic measures. Zbl 1465.52030
Lee, Jeong-Yup; Lenz, Daniel; Richard, Christoph; Sing, Bernd; Strungaru, Nicolae
2
2020
Analysis and geometry on graphs and manifolds. Selected papers of the conference, University of Potsdam, Potsdam, Germany, July 31 – August 4, 2017. Zbl 1460.58002
2
2020
An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs. Zbl 1448.47051
Lenz, H. Daniel; Stollmann, Peter R. M.; Stolz, Gunter H.
2
2020
Universal lower bounds for Laplacians on weighted graphs. Zbl 1473.05117
Lenz, D.; Stollmann, P.
2
2020
On weakly almost periodic measures. Zbl 1444.43002
Lenz, Daniel; Strungaru, Nicolae
14
2019
Boundary representation of Dirichlet forms on discrete spaces. Zbl 1418.31013
Keller, Matthias; Lenz, Daniel; Schmidt, Marcel; Schwarz, Michael
5
2019
Model sets with positive entropy in Euclidean cut and project schemes. Zbl 1450.37014
Jäger, Tobias; Lenz, Daniel; Oertel, Christian
5
2019
The Ihara zeta function for infinite graphs. Zbl 1409.05075
Lenz, Daniel; Pogorzelski, Felix; Schmidt, Marcel
4
2019
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms. Zbl 1432.35146
Lenz, H. Daniel; Stollmann, Peter R. M.
3
2019
Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order. Zbl 1383.05196
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
15
2018
Note on spectra of non-selfadjoint operators over dynamical systems. Zbl 1525.47024
Beckus, Siegfried; Lenz, Daniel; Lindner, Marko; Seifert, Christian
3
2018
Spectral notions of aperiodic order. Zbl 1373.37031
Baake, Michael; Lenz, Daniel
26
2017
Note on uniformly transient graphs. Zbl 1373.05156
Keller, Matthias; Lenz, Daniel; Schmidt, Marcel; Wojciechowski, Radosław K.
13
2017
Global properties of Dirichlet forms in terms of Green’s formula. Zbl 1377.31005
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Masamune, Jun; Schmidt, Marcel
10
2017
Stationary processes and pure point diffraction. Zbl 1380.37020
Lenz, Daniel; Moody, Robert V.
10
2017
Schreier graphs of Grigorchuk’s group and a subshift associated to a nonprimitive substitution. Zbl 1371.05123
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
9
2017
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
9
2017
On the spectrum of operator families on discrete groups over minimal dynamical systems. Zbl 1489.47005
Beckus, Siegfried; Lenz, Daniel; Lindner, Marko; Seifert, Christian
5
2017
Combinatorics of the subshift associated with Grigorchuk’s group. Zbl 1380.37027
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
2
2017
Toeplitz flows and model sets. Zbl 1362.37030
Baake, M.; Jäger, T.; Lenz, D.
9
2016
Invariant means on Boolean inverse monoids. Zbl 1342.43003
Kudryavtseva, Ganna; Lawson, Mark V.; Lenz, Daniel H.; Resende, Pedro
9
2016
Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces. Zbl 1332.81069
Lenz, Daniel; Teplyaev, Alexander
7
2016
New relations between discrete and continuous transition operators on (metric) graphs. Zbl 1338.47004
Lenz, Daniel; Pankrashkin, Konstantin
4
2016
Note on the set of Bragg peaks with high intensity. Zbl 1341.82081
Lenz, Daniel; Strungaru, Nicolae
3
2016
Note on short-time behavior of semigroups associated to self-adjoint operators. Zbl 1381.60115
Keller, Matthias; Lenz, Daniel; Münch, Florentin; Schmidt, Marcel; Telcs, András
3
2016
Graphs of finite measure. Zbl 1314.31017
Georgakopoulos, Agelos; Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław K.
25
2015
Mathematics of aperiodic order. Zbl 1338.37005
24
2015
Note on basic features of large time behaviour of heat kernels. Zbl 1369.58017
Keller, Matthias; Lenz, Daniel; Vogt, Hendrik; Wojciechowski, Radosław
21
2015
Dynamical versus diffraction spectrum for structures with finite local complexity. Zbl 1352.37033
Baake, Michael; Lenz, Daniel; van Enter, Aernout
20
2015
Equicontinuous factors, proximality and Ellis semigroup for Delone sets. Zbl 1376.37045
Aujogue, Jean-Baptiste; Barge, Marcy; Kellendonk, Johannes; Lenz, Daniel
20
2015
Diffusion determines the recurrent graph. Zbl 1301.47062
Keller, Matthias; Lenz, Daniel; Schmidt, Marcel; Wirth, Melchior
9
2015
Mini-workshop: Discrete \(p\)-Laplacians: spectral theory and variational methods in mathematics and computer science. Abstracts from the mini-workshop held February 8–14, 2015. Zbl 1349.00186
1
2015
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory. Zbl 1304.60081
Frank, Rupert L.; Lenz, Daniel; Wingert, Daniel
61
2014
Zero measure Cantor spectra for continuum one-dimensional quasicrystals. Zbl 1351.47030
Lenz, Daniel; Seifert, Christian; Stollmann, Peter
9
2014
Unbounded quantum graphs with unbounded boundary conditions. Zbl 1328.47023
Lenz, Daniel; Schubert, Carsten; Veselić, Ivan
7
2014
Pseudogroups and their étale groupoids. Zbl 1311.20059
Lawson, Mark V.; Lenz, Daniel H.
57
2013
Volume growth, spectrum and stochastic completeness of infinite graphs. Zbl 1269.05051
Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław K.
45
2013
On the spectral theory of trees with finite cone type. Zbl 1270.47003
Keller, Matthias; Lenz, Daniel; Warzel, Simone
19
2013
A characterization of subshifts with bounded powers. Zbl 1344.68179
Kellendonk, J.; Lenz, D.; Savinien, J.
13
2013
Equicontinuous Delone dynamical systems. Zbl 1329.37019
Kellendonk, Johannes; Lenz, Daniel
12
2013
Delone sets with finite local complexity: Linear repetitivity versus positivity of weights. Zbl 1291.37012
Besbes, Adnene; Boshernitzan, Michael; Lenz, Daniel
6
2013
Dirichlet forms and stochastic completeness of graphs and subgraphs. Zbl 1252.47090
Keller, Matthias; Lenz, Daniel
124
2012
Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions. Zbl 1287.47023
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław
63
2012
Absolutely continuous spectrum for random operators on trees of finite cone type. Zbl 1277.82030
Keller, Matthias; Lenz, Daniel; Warzel, Simone
24
2012
An uncertainty principle, Wegner estimates and localization near fluctuation boundaries. Zbl 1231.82030
Boutet de Monvel, Anne; Lenz, Daniel; Stollmann, Peter
15
2011
A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states. Zbl 1231.22007
Lenz, Daniel; Schwarzenberger, Fabian; Veselić, Ivan
14
2011
Delone measures of finite local complexity and applications to spectral theory of one-dimensional continuum models of quasicrystals. Zbl 1210.81031
Klassert, Steffen; Lenz, Daniel; Stollmann, Peter
9
2011
Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms. Zbl 1248.35133
Lenz, Daniel; Stollmann, Peter; Veselić, Ivan
8
2011
Random walks, boundaries and spectra. Proceedings of the workshop on boundaries, Graz, Austria, June 29–July 3, 2009 and the Alp-workshop, Sankt Kathrein, Austria, July 4–5, 2009. Zbl 1214.05001
6
2011
\(L^{p}\)-approximation of the integrated density of states for Schrödinger operators with finite local complexity. Zbl 1208.35025
Gruber, Michael J.; Lenz, Daniel H.; Veselić, Ivan
1
2011
Unbounded Laplacians on graphs: basic spectral properties and the heat equation. Zbl 1207.47032
Keller, M.; Lenz, D.
74
2010
Compactness of Schrödinger semigroups. Zbl 1243.47070
Lenz, Daniel; Stollmann, Peter; Wingert, Daniel
8
2010
Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks. Zbl 1178.37011
Lenz, Daniel
35
2009
Pure point spectrum for measure dynamical systems on locally compact Abelian groups. Zbl 1178.37008
Lenz, Daniel; Strungaru, Nicolae
30
2009
Sch’nol’s theorem for strongly local forms. Zbl 1188.47003
Boutet De Monvel, Anne; Lenz, Daniel; Stollmann, Peter
22
2009
Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence. Zbl 1183.82082
Lenz, Daniel; Veselić, Ivan
18
2009
The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms. Zbl 1172.35045
Lenz, Daniel; Stollmann, Peter; Veselić, Ivan
14
2009
Continuity of the integrated density of states on random length metric graphs. Zbl 1179.35333
Lenz, Daniel; Peyerimhoff, Norbert; Post, Olaf; Veselić, Ivan
12
2009
Extinctions and correlations for uniformly discrete point processes with pure point dynamical spectra. Zbl 1170.60036
Lenz, Daniel; Moody, Robert V.
8
2009
Aperiodic order via dynamical systems: diffraction for sets of finite local complexity. Zbl 1200.78008
Lenz, Daniel
4
2009
On an order-based construction of a topological groupoid from an inverse semigroup. Zbl 1153.22003
Lenz, Daniel H.
35
2008
Uniform existence of the integrated density of states for models on \({\mathbb{Z}}^d\). Zbl 1165.37003
Lenz, Daniel; Müller, Peter; Veselić, Ivan
16
2008
Eigenfunction expansions for Schrödinger operators on metric graphs. Zbl 1170.47009
Lenz, Daniel; Schubert, Carsten; Stollmann, Peter
10
2008
Continuity properties of the integrated density of states on manifolds. Zbl 1202.35071
Lenz, Daniel; Peyerimhoff, Norbert; Post, Olaf; Veselić, Ivan
9
2008
Uniform existence of the integrated density of states for combinatorial and metric graphs over \(\mathbb Z^d\). Zbl 1166.47038
Gruber, Michael J.; Lenz, Daniel H.; Veselić, Ivan
4
2008
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
54
2007
Pure point diffraction and cut and project schemes for measures: the smooth case. Zbl 1129.28003
Lenz, Daniel; Richard, Christoph
28
2007
Groupoids, von Neumann algebras and the integrated density of states. Zbl 1181.46046
Lenz, Daniel; Peyerimhoff, Norbert; Veselić, Ivan
16
2007
Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies. Zbl 1129.37006
Baake, Michael; Lenz, Daniel; Richard, Christoph
13
2007
Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over \(\mathbb Z^d\). Zbl 1133.35030
Gruber, Michael J.; Lenz, Daniel H.; Veselić, Ivan
9
2007
Uniform Szegő cocycles over strictly ergodic subshifts. Zbl 1108.37002
Damanik, David; Lenz, Daniel
8
2007
An ergodic theorem for Delone dynamical systems and existence of the integrated density of states. Zbl 1131.37015
Lenz, Daniel; Stollmann, Peter
35
2006
A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem. Zbl 1118.37009
Damanik, David; Lenz, Daniel
35
2006
Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. Zbl 1122.47028
Damanik, David; Lenz, Daniel
19
2006
Substitution dynamical systems: characterization of linear repetitivity and applications. Zbl 1094.37007
Damanik, David; Lenz, Daniel
19
2006
Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians. Zbl 1103.81017
Lenz, Daniel; Stollmann, Peter
15
2006
Lower transport bounds for one-dimensional continuum Schrödinger operators. Zbl 1116.34066
Damanik, David; Lenz, Daniel; Stolz, Günter
15
2006
Elliptic operators on planar graphs: unique continuation for eigenfunctions and nonpositive curvature. Zbl 1094.05016
Klassert, Steffen; Lenz, Daniel; Peyerimhoff, Norbert; Stollmann, Peter
10
2006
Report 9/2006: Mini-workshop: \(L^2\)-spectral invariants and the integrated density of states (February 19th – February 25th, 2006). Zbl 1109.58301
1
2006
Deformation of Delone dynamical systems and pure point diffraction. Zbl 1084.37502
Baake, Michael; Lenz, Daniel
21
2005
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
86
2004
Integrated density of states for random metrics on manifolds. Zbl 1119.58017
Lenz, Daniel; Peyerimhoff, Norbert; Veselić, Ivan
15
2004
Half-line eigenfunction estimates and purely singular continuous spectrum of zero Lebesgue measure. Zbl 1047.81021
Damanik, David; Lenz, Daniel
6
2004
Aperiodic linearly repetitive Delone sets are densely repetitive. Zbl 1052.37013
Lenz, Daniel
6
2004
Existence of non-uniform cocycles on uniquely ergodic systems. Zbl 1042.37002
Lenz, Daniel
5
2004
Singular continuous spectrum for certain quasicrystal Schrödinger operators. Zbl 1210.81032
Lenz, Daniel
1
2004
Delone dynamical systems and associated random operators. Zbl 1285.47044
Lenz, Daniel; Stollmann, Peter
19
2003
Powers in Sturmian sequences. Zbl 1030.68068
Damanik, David; Lenz, Daniel
17
2003
Discontinuities of the integrated density of states for random operators on Delone sets. Zbl 1098.82016
Klassert, Steffen; Lenz, Daniel; Stollmann, Peter
17
2003
Algebras of random operators associated to Delone dynamical systems. Zbl 1031.46078
Lenz, Daniel; Stollmann, Peter
10
2003
Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials. Zbl 1173.81315
Damanik, David; Lenz, Daniel
8
2003
Hierarchical structures in Sturmian dynamical systems. Zbl 1027.37006
Lenz, Daniel
6
2003
Ergodic theory and discrete one-dimensional random Schrödinger operators: uniform existence of the Lyapunov exponent. Zbl 1041.81029
Lenz, Daniel
2
2003
...and 14 more Documents
all top 5

Cited by 733 Authors

71 Lenz, Daniel H.
49 Damanik, David
40 Keller, Matthias
33 Baake, Michael
27 Veselić, Ivan
25 Strungaru, Nicolae
20 Lawson, Mark Verus
17 Hua, Bobo
16 Pogorzelski, Felix
16 Stollmann, Peter
13 Jørgensen, Palle E. T.
13 Richard, Christoph
13 Schmidt, Marcel
12 Fillman, Jake
12 Gorodetskii, Anton Semenovich
12 Grimm, Uwe
11 Liu, Qinghui
10 Beckus, Siegfried
10 de Oliveira, César R.
10 Güneysu, Batu
10 Huang, Xueping
10 Lee, Jeong-Yup
10 Mugnolo, Delio
10 Seifert, Christian
10 Wojciechowski, Radosław Krzysztof
9 Golénia, Sylvain
9 Kostenko, Aleksey S.
9 Lin, Yong
9 Münch, Florentin
9 Pelantová, Edita
9 Sabri, Mostafa
9 Sadel, Christian
9 Spindeler, Timo
8 Grigorchuk, Rostislav Ivanovich
8 Kellendonk, Johannes
8 Kudryavtseva, Ganna
8 Mañibo, Neil
8 Moody, Robert Vaughan
8 Peyerimhoff, Norbert
8 Qu, Yanhui
8 Salo, Ville O.
8 Schwarzenberger, Fabian
8 Teplyaev, Alexander
8 Wu, Yiting
7 Bice, Tristan Matthew
7 Gähler, Franz
7 Milatovic, Ognjen
7 Resende, Pedro
7 Solomyak, Boris
7 Walton, James J.
6 Akiyama, Shigeki
6 Borisov, Denis Ivanovich
6 Dvořáková, L’ubomíra
6 Huck, Christian
6 Masamune, Jun
6 Nicolussi, Noema
6 Prodan, Emil
6 Starling, Charles
6 Tian, Feng
6 Truc, Françoise
6 Wirth, Melchior
5 Adriani, Andrea
5 Anantharaman, Nalini
5 Ben Amor, Ali
5 Bianchi, Davide
5 Gohlke, Philipp
5 Haynes, Alan K.
5 Hinz, Michael
5 Keller, Gerhard
5 Lindner, Marko
5 Ong, Darren C.
5 Rojas-Molina, Constanza
5 Schumacher, Christoph
5 Smirnova-Nagnibeda, Tatiana
5 Steinberg, Benjamin
5 Tautenhahn, Martin
5 Tcheremchantsev, Serguei
5 Wen, Zhi-Ying
4 Allouche, Jean-Paul Simon
4 Avila, Artur
4 Barge, Marcy M.
4 Carvalho, Silas L.
4 Cordeiro, Luiz Gustavo
4 Denisov, Sergey A.
4 García-Ramos, Felipe
4 Haeseler, Sebastian
4 Oertel-Jäger, Tobias Hendrik
4 Kesseböhmer, Marc
4 Koivusalo, Henna
4 Liu, Shuang
4 Malamud, Mark M.
4 Milan, David P.
4 Müller, Peter
4 Munger, Paul E.
4 Pearse, Erin Peter James
4 Post, Olaf
4 Prado, Roberto A.
4 Priebe Frank, Natalie
4 Rampersad, Narad
4 Samuel, Tony
...and 633 more Authors
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Cited in 184 Serials

38 Journal of Functional Analysis
32 Annales Henri Poincaré
30 Ergodic Theory and Dynamical Systems
27 Communications in Mathematical Physics
25 Journal of Mathematical Physics
24 Journal of Mathematical Analysis and Applications
24 Advances in Mathematics
23 Transactions of the American Mathematical Society
21 Theoretical Computer Science
20 Journal of Statistical Physics
19 Semigroup Forum
17 Letters in Mathematical Physics
14 Mathematische Zeitschrift
14 Calculus of Variations and Partial Differential Equations
14 Journal of Spectral Theory
13 Integral Equations and Operator Theory
13 Mathematical Physics, Analysis and Geometry
12 Journal d’Analyse Mathématique
11 Journal of Algebra
11 Discrete and Continuous Dynamical Systems
10 Israel Journal of Mathematics
10 Reviews in Mathematical Physics
10 Proceedings of the American Mathematical Society
9 Potential Analysis
9 Journal of the Australian Mathematical Society
8 Journal of Differential Equations
8 Mathematische Annalen
8 European Journal of Combinatorics
8 Discrete & Computational Geometry
8 The Journal of Fourier Analysis and Applications
7 Journal of Geometry and Physics
7 Mathematische Nachrichten
7 Monatshefte für Mathematik
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Duke Mathematical Journal
6 Topology and its Applications
6 Indagationes Mathematicae. New Series
5 Discrete Mathematics
5 Journal of Theoretical Probability
5 RAIRO. Theoretical Informatics and Applications
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Journal of Physics A: Mathematical and Theoretical
4 Discrete Applied Mathematics
4 Nonlinearity
4 Journal of Pure and Applied Algebra
4 Stochastic Processes and their Applications
4 Journal of Evolution Equations
4 Oberwolfach Reports
4 Complex Analysis and Operator Theory
3 Rocky Mountain Journal of Mathematics
3 Studia Mathematica
3 Algebra Universalis
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Canadian Mathematical Bulletin
3 Hokkaido Mathematical Journal
3 Journal of Approximation Theory
3 Osaka Journal of Mathematics
3 Forum Mathematicum
3 International Journal of Algebra and Computation
3 International Journal of Foundations of Computer Science
3 Linear Algebra and its Applications
3 Positivity
3 Proceedings of the Steklov Institute of Mathematics
3 Frontiers of Mathematics in China
3 Symmetry
3 Journal of Fractal Geometry
2 Bulletin of the Australian Mathematical Society
2 Communications on Pure and Applied Mathematics
2 Information Processing Letters
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Canadian Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Michigan Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Tôhoku Mathematical Journal. Second Series
2 Advances in Applied Mathematics
2 Probability Theory and Related Fields
2 Revista Matemática Iberoamericana
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Expositiones Mathematicae
2 Journal of Dynamics and Differential Equations
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Fractals
2 The Electronic Journal of Combinatorics
2 Electronic Journal of Probability
2 Documenta Mathematica
2 Discrete Mathematics and Theoretical Computer Science. DMTCS
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Qualitative Theory of Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
...and 84 more Serials
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Cited in 54 Fields

230 Operator theory (47-XX)
208 Dynamical systems and ergodic theory (37-XX)
166 Partial differential equations (35-XX)
156 Combinatorics (05-XX)
144 Quantum theory (81-XX)
106 Probability theory and stochastic processes (60-XX)
99 Statistical mechanics, structure of matter (82-XX)
96 Convex and discrete geometry (52-XX)
73 Functional analysis (46-XX)
72 Group theory and generalizations (20-XX)
66 Computer science (68-XX)
59 Topological groups, Lie groups (22-XX)
55 Potential theory (31-XX)
51 Measure and integration (28-XX)
50 Global analysis, analysis on manifolds (58-XX)
48 Ordinary differential equations (34-XX)
47 Difference and functional equations (39-XX)
46 Number theory (11-XX)
32 Category theory; homological algebra (18-XX)
30 Abstract harmonic analysis (43-XX)
28 Order, lattices, ordered algebraic structures (06-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
24 Differential geometry (53-XX)
19 General topology (54-XX)
15 Real functions (26-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Associative rings and algebras (16-XX)
11 Numerical analysis (65-XX)
7 Special functions (33-XX)
7 Optics, electromagnetic theory (78-XX)
5 General and overarching topics; collections (00-XX)
5 \(K\)-theory (19-XX)
5 Functions of a complex variable (30-XX)
5 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
5 Information and communication theory, circuits (94-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Operations research, mathematical programming (90-XX)
3 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

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