D. Lenz

发表

Schreier graphs of Grigorchuk's group and a subshift associated to a non-primitive substitution

R. Grigorchuk, D. Lenz, T. Nagnibeda, 2015, 1510.00545.

M. Baake, D. Lenz, 2016, 1601.06629.

Half-line eigenfunction estimates and stability of singular continuous spectrum

D. Damanik, D. Lenz, 1999 .

Institute for Mathematical Physics Dynamical Systems on Translation Bounded Measures: Pure Point Dynamical and Diffraction Spectra Dynamical Systems on Translation Bounded Measures: Pure Point Dynamical and Diffraction Spectra

M. Baake, D. Lenz, 2022 .

Invariant means on Boolean inverse monoids

M. Lawson, D. Lenz, P. Resende, 2015, 1503.03733.

DISTRIBUTIVE INVERSE SEMIGROUPS AND NON-COMMUTATIVE STONE DUALITIES

M. Lawson, D. Lenz, 2013, 1302.3032.

Pseudogroups and their étale groupoids

M. Lawson, D. Lenz, 2011, 1107.5511.

Aperiodic order and pure point diffraction

D. Lenz, D. Lenz, 2008, 0802.3242.

Continuity of Eigenfunctions of Uniquely Ergodic Dynamical Systems and Intensity of Bragg Peaks

D. Lenz, 2006, math-ph/0608026.

Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order

R. Grigorchuk, D. Lenz, T. Nagnibeda, 2014, 1412.6822.

The Ihara zeta function for infinite graphs

D. Lenz, Felix Pogorzelski, Marcel Schmidt, 2014, Transactions of the American Mathematical Society.

Averaging almost periodic functions along exponential sequences

M. Baake, A. Haynes, D. Lenz, 2017, 1704.08120.

Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials

D. Damanik, D. Lenz, 2006 .

A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem

D. Damanik, D. Lenz, 2004, math/0403190.

Uniform spectral properties of one-dimensional quasicrystals, iv. quasi-sturmian potentials

D. Damanik, D. Lenz, 2001, math-ph/0105034.

Diffusion on Delone sets

D. Lenz, Xueping Huang, Felix Pogorzelski, 2016, 1611.01059.

Toeplitz flows and model sets

M. Baake, D. Lenz, T. Jäger, 2015, 1511.08595.

Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces

D. Lenz, A. Teplyaev, 2013, 1310.5650.

On the spectral theory of trees with finite forward cone type

D. Lenz, S. Warzel, M. Keller, 2010 .

On the spectral theory of trees with finite cone type

D. Lenz, S. Warzel, M. Keller, 2010, 1001.3600.

Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source

D. Lenz, Marcel Schmidt, I. Zimmermann, 2021, Calculus of Variations and Partial Differential Equations.

ON AN ORDER-BASED CONSTRUCTION OF A TOPOLOGICAL GROUPOID FROM AN INVERSE SEMIGROUP

D. Lenz, 2008, Proceedings of the Edinburgh Mathematical Society.

ON AN ORDER BASED CONSTRUCTION OF A GROUPOID FROM AN INVERSE SEMIGROUP

D. Lenz, 2006, math/0604105.

Volume growth, spectrum and stochastic completeness of infinite graphs

Radoslaw K. Wojciechowski, D. Lenz, M. Keller, 2011, 1105.0395.

Compactness of Schr\"odinger semigroups

D. Lenz, P. Stollmann, D. Wingert, 2009, 0903.0280.

Random Operators and Crossed Products

D. Lenz, 1999, math-ph/9902030.

ERGODIC THEORY AND THE INTEGRATED DENSITY OF STATES function with values in a certain

D. Lenz, P. Stollmann, 2022 .

ABSTRACT ALMOST PERIODICITY FOR GROUP ACTIONS ON UNIFORM TOPOLOGICAL SPACES

D. Lenz, Nicolae Strungaru, Timo Spindeler, 2022, Canadian Journal of Mathematics.

Uniform ergodic theorems on subshifts over a finite alphabet

D. Lenz, 2000, Ergodic Theory and Dynamical Systems.

Integrated Density of States For Random Metrics on Manifolds

N. Peyerimhoff, I. Veselic, D. Lenz, 2002, math-ph/0212058.

Generic Subsets in Spaces of Measures and Singular Continuous Spectrum

D. Lenz, P. Stollmann, 2006 .

GENERIC SETS IN SPACES OF MEASURES AND GENERIC SINGULAR CONTINUOUS SPECTRUM FOR DELONE HAMILTONIANS

D. Lenz, P. Stollmann, 2004, math-ph/0410021.

Note on uniformly transient graphs

Radoslaw K. Wojciechowski, D. Lenz, M. Keller, 2014, 1412.0815.

Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature

N. Peyerimhoff, D. Lenz, P. Stollmann, 2004, math-ph/0410022.

Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications

D. Damanik, D. Lenz, Daniel Lenz, 2000, Discret. Comput. Geom..

Uniform Spectral Properties of One-Dimensional Quasicrystals, II. The Lyapunov Exponent

D. Damanik, D. Lenz, 1999, math-ph/9905008.

Uniform Spectral Properties of One-Dimensional Quasicrystals, I. Absence of Eigenvalues

D. Damanik, D. Lenz, 1999, math-ph/9903011.

A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem

D. Damanik, D. Lenz, 2004, math/0403190.

Uniform spectral properties of one-dimensional quasicrystals, iv. quasi-sturmian potentials

D. Damanik, D. Lenz, 2001, math-ph/0105034.

Uniform Spectral Properties of One-Dimensional Quasicrystals, III. α-Continuity

D. Damanik, R. Killip, D. Lenz, 1999, math-ph/9910017.

0 21 20 57 v 1 1 9 D ec 2 00 2 RANDOM SCHRÖDINGER OPERATORS ON MANIFOLDS

N. Peyerimhoff, I. Veselic, D. Lenz, 2021 .

Random Schr"odinger operators on manifolds

N. Peyerimhoff, I. Veselic, D. Lenz, 2002, math-ph/0212057.

RANDOM SCHRÖDINGER OPERATORS ON MANIFOLDS

N. Peyerimhoff, I. Veselic, D. Lenz, 2002 .

Boundary representation of Dirichlet forms on discrete spaces

D. Lenz, M. Keller, Michael Schwarz, 2017, Journal de Mathématiques Pures et Appliquées.

An ergodic theorem for Delone dynamical systems and existence of the integrated density of states

D. Lenz, P. Stollmann, 2003, math-ph/0310017.

Aperiodic Order and Quasicrystals: Spectral Properties

D. Lenz, P. Stollmann, 2003 .

Half-line eigenfunction estimates and singular continuous spectrum of zero Lebesgue measure

D. Damanik, D. Lenz, 1999, math/9905099.

SINGULAR CONTINUOUS SPECTRUM FOR CERTAIN QUASICRYSTAL SCHRÖDINGER OPERATORS

D. Lenz, 2006 .

Substitution dynamical systems: Characterization of linear repetitivity and applications

D. Damanik, D. Lenz, 2003, math/0302231.

Singular Spectrum of Lebesgue Measure Zero¶for One-Dimensional Quasicrystals

D. Lenz, Daniel Lenz, 2001, math-ph/0106012.

UNIFORM EXISTENCE OF THE INTEGRATED DENSITY OF

D. Lenz, M. Gruber, 2008 .

Uniform existence of the integrated density of states for combinatorial and metric graphs over Z^d

D. Lenz, M. Gruber, Ivan Veseli'c, 2007, 0712.1740.

Uniform Szego cocycles over strictly ergodic subshifts

D. Damanik, D. Lenz, 2005, J. Approx. Theory.

Global properties of Dirichlet forms in terms of Green’s formula

D. Lenz, M. Keller, Marcel Schmidt, 2017, Calculus of Variations and Partial Differential Equations.

On the spectrum of operator families on discrete groups over minimal dynamical systems

M. Lindner, D. Lenz, C. Seifert, 2017, Mathematische Zeitschrift.

Pure point diffraction and cut and project schemes for measures: the smooth case

D. Lenz, C. Richard, 2006, math/0603453.

Volume growth, spectrum and stochastic completeness of infinite graphs

D. Lenz, M. Keller, Radosław K. Wojciechowski, 2012, Mathematische Zeitschrift.

Lower Transport Bounds for One-dimensional Continuum Schrödinger Operators

D. Damanik, D. Lenz, G. Stolz, 2004, math-ph/0410062.

Recurrent and (strongly) resolvable graphs

D. Lenz, Marcel Schmidt, Simon Puchert, 2023, Journal de Mathématiques Pures et Appliquées.

On the spectral theory of trees with finite cone type

D. Lenz, S. Warzel, M. Keller, 2012, Israel Journal of Mathematics.

Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation

D. Lenz, M. Keller, 2011, 1101.2979.

The structure of mean equicontinuous group actions

D. Lenz, G. Fuhrmann, M. Gröger, 2022, Israel Journal of Mathematics.

The structure of mean equicontinuous group actions

D. Lenz, G. Fuhrmann, M. Gröger, 2018, Israel Journal of Mathematics.

ERGODIC THEORY AND DISCRETE ONE-DIMENSIONAL RANDOM SCHRÖDINGER OPERATORS : UNIFORM EXISTENCE OF THE LYAPUNOV EXPONENT

D. Lenz, 2003 .

Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs

R. Grigorchuk, D. Lenz, T. Nagnibeda, 2019, Advances in Mathematics.

Existence of non-uniform cocycles on uniquely ergodic systems

D. Lenz, 2004 .

Universal Lower Bounds for Laplacians on Weighted Graphs

D. Lenz, P. Stollmann, 2019, Analysis and Geometry on Graphs and Manifolds.

Hierarchical structures in Sturmian dynamical systems

Daniel Lenz, D. Lenz, 2000, Theor. Comput. Sci..

Aspects of aperiodic order: Spectral theory via dynamical systems

D. Lenz, 2005 .

SP ] 2 3 M ar 2 01 0 COMPACTNESS OF SCHRÖDINGER SEMIGROUPS

D. Lenz, P. Stollmann, D. Wingert, 2010 .

Compactness of Schrödinger semigroups

D. Lenz, P. Stollmann, D. Wingert, 2009 .

Pure Point Diffraction Implies Zero Entropy for Delone Sets with Uniform Cluster Frequencies

Michael Baake, Daniel Lenz, Christoph Richard, 2007, 0706.1677.

The Index of Sturmian Sequences

David Damanik, Daniel Lenz, D. Damanik, 2002, Eur. J. Comb..

Erratum to: A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states

D. Lenz, F. Schwarzenberger, I. Veselić, 2012 .

$L^p$-approximation of the integrated density of states for Schr\

D. Lenz, M. Gruber, Ivan Veseli'c, 2010, 1004.3471.

A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states

D. Lenz, F. Schwarzenberger, I. Veselić, 2010, 1003.3620.

Uniform existence of the integrated density of states for models on $${\mathbb{Z}}^d$$

D. Lenz, P. Müller, I. Veselić, 2006, math-ph/0607063.

Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence

D. Lenz, I. Veselić, 2007, 0709.2836.

Uniform existence of the integrated density of states for random Schr

D. Lenz, M. Gruber, Ivan Veseli'c, 2006, math/0612743.

Digital Object Identifier (DOI) 10.1007/s00220-003-0920-7 Mathematical Physics Discontinuities of the Integrated Density of States for Random Operators on Delone Sets ⋆

D. Lenz, P. Stollmann, S. Klassert, 2002 .

Stationary processes and pure point diffraction

DANIEL LENZ, R. Moody, D. Lenz, 2011, Ergodic Theory and Dynamical Systems.

The third law of thermodynamics and the degeneracy of the ground state for lattice systems

M. Baake, D. Lenz, C. Richard, 2007 .

Characterization of model sets by dynamical systems

M. Baake, R. Moody, D. Lenz, 2005, Ergodic Theory and Dynamical Systems.

Absolutely continuous spectrum for random operators on trees of finite cone type

D. Lenz, S. Warzel, M. Keller, 2011, 1108.0057.

Spectral theory of dynamical systems as diffraction theory of sampling functions

D. Lenz, 2018, Monatshefte für Mathematik.

Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets

D. Lenz, J. Kellendonk, Jean-baptiste Aujogue, 2014, 1407.1787.

Dynamical versus diffraction spectrum for structures with finite local complexity

M. Baake, A. V. van Enter, D. Lenz, 2013, Ergodic Theory and Dynamical Systems.

Equicontinuous Delone Dynamical Systems

D. Lenz, J. Kellendonk, 2011, Canadian Journal of Mathematics.

Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity

D. Lenz, 2007, 0712.1323.

Pure Point spectrum for measure dynamical systems on locally compact Abelian groups

D. Lenz, Nicolae Strungaru, 2007, 0704.2498.

Mini-Workshop: The Pisot Conjecture — From Substitution Dynamical Systems to Rauzy Fractals and Meyer Sets

D. Damanik, V. Berthé, D. Lenz, 2009 .

On the decomposition principle and a Persson type theorem for general regular Dirichlet forms

D. Lenz, P. Stollmann, 2017, Journal of Spectral Theory.

Unbounded quantum graphs with unbounded boundary conditions

D. Lenz, Ivan Veseli'c, C. Schubert, 2012, 1205.1944.

Note on the Set of Bragg Peaks with High Intensity

D. Lenz, Nicolae Strungaru, 2015, Annales Henri Poincaré.

Note on the Set of Bragg Peaks with High Intensity

D. Lenz, Nicolae Strungaru, 2014, 1412.7377.

Almost periodic order: spectral, dynamical, and stochastic approaches

M. Baake, D. Damanik, D. Lenz, 2011 .

Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra

R. Moody, D. Lenz, 2009, 0902.0567.

ON AN ORDER BASED CONSTRUCTION OF A GROUPOID FROM AN INVERSE SEMIGROUP

D. Lenz, 2006, math/0604105.

Note on Spectra of Non-Selfadjoint Operators Over Dynamical Systems

M. Lindner, D. Lenz, C. Seifert, 2014, Proceedings of the Edinburgh Mathematical Society.

On the spectrum of operator families on discrete groups over minimal dynamical systems

M. Lindner, D. Lenz, C. Seifert, 2016, 1606.08353.

Zero measure Cantor spectra for continuum one-dimensional quasicrystals

D. Lenz, P. Stollmann, C. Seifert, 2013, 1308.3431.

Uniform spectral properties of one-dimensional quasicrystals

D. Damanik, D. Lenz, 1999 .

Mathematics of aperiodic order

Johannes Kellendonk, Daniel Lenz, Jean Savinien, 2015 .

Note on basic features of large time behaviour of heat kernels

Radoslaw K. Wojciechowski, D. Lenz, M. Keller, 2011, 1101.0373.

Graphs and Discrete Dirichlet Spaces

Radoslaw K. Wojciechowski, D. Lenz, M. Keller, 2021, Grundlehren der mathematischen Wissenschaften.

An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs

D. Lenz, G. Stolz, P. Stollmann, 2016, Journal of Spectral Theory.

An uncertainty principle, Wegner estimates and localization near fluctuation boundaries

A. B. D. Monvel, D. Lenz, P. Stollmann, 2009, 0905.2845.

Continuity of the Integrated Density of States on Random Length Metric Graphs

N. Peyerimhoff, O. Post, D. Lenz, 2008, 0811.4513.

Continuity properties of the integrated density of states on manifolds

N. Peyerimhoff, O. Post, D. Lenz, 2007, 0705.1079.

Delone dynamical systems and associated random operators

D. Lenz, P. Stollmann, 2002, math-ph/0202042.

Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory

D. Lenz, R. Frank, D. Wingert, 2010, 1012.5050.

Topological Poincar\'e type inequalities and lower bounds on the infimum of the spectrum for graphs

D. Lenz, P. Stollmann, Marcel Schmidt, 2018, 1801.09279.

The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms

D. Lenz, P. Stollmann, I. Veselić, 2008, Documenta Mathematica.

Dirichlet forms and stochastic completeness of graphs and subgraphs

Daniel Lenz, Matthias Keller, D. Lenz, 2009, 0904.2985.

New Relations Between Discrete and Continuous Transition Operators on (Metric) Graphs

D. Lenz, Konstantin Pankrashkin, 2013, Integral Equations and Operator Theory.

Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

Daniel Lenz, Sebastian Haeseler, Radoslaw K. Wojciechowski, 2011, 1103.3695.

Random walks, boundaries and spectra

Wolfgang Woess, Daniel Lenz, Florian Sobieczky, 2011 .

Spectral Structures and Topological Methods in Mathematical Quasicrystals

Michael Baake, David Damanik, Johannes Kellendonk, 2018, Oberwolfach Reports.

A characterization of subshifts with bounded powers

Jean Savinien, J. Kellendonk, D. Lenz, 2011, Discret. Math..

Groupoids, von Neumann Algebras and the Integrated Density of States

N. Peyerimhoff, D. Lenz, I. Veselić, 2002, math-ph/0203026.

Delone measures of finite local complexity and applications to spectral theory of one-dimensional continuum models of quasicrystals

D. Lenz, P. Stollmann, S. Klassert, 2010, 1003.3574.

Eigenfunction Expansions for Schrödinger Operators on Metric Graphs

D. Lenz, P. Stollmann, C. Schubert, 2008, 0801.1376.

Sch’nol’s theorem for strongly local forms

A. Boutet de Monvel, D. Lenz, P. Stollmann, 2007, 0708.1501.

SP ] 3 N ov 2 01 6 DIFFUSION ON DELONE SETS

D. Lenz, Xueping Huang, Felix Pogorzelski, 2022 .

Lp-Approximation of the Integrated Density of States for Schrödinger Operators with Finite Local Complexity

D. Lenz, M. Gruber, I. Veselić, 2011 .

Model sets with positive entropy in Euclidean cut and project schemes

D. Lenz, T. Jager, C. Oertel, 2016, 1605.01167.

Delone Sets with Finite Local Complexity: Linear Repetitivity Versus Positivity of Weights

M. Boshernitzan, D. Lenz, Adnene Besbes, 2012, Discrete & Computational Geometry.

Delone Sets with Finite Local Complexity: Linear Repetitivity Versus Positivity of Weights

Daniel Lenz, Adnene Besbes, Michael Boshernitzan, 2012, Discret. Comput. Geom..

Algebras of Random Operators Associated to Delone Dynamical Systems

D. Lenz, P. Stollmann, 2002, math-ph/0210031.

Quasicrystals, aperiodic order, and groupoid von Neumann algebras

D. Lenz, P. Stollmann, 2002 .

Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms

D. Lenz, P. Stollmann, I. Veselić, 2009, 0909.1107.

Domination of quadratic forms

D. Lenz, Melchior Wirth, M. Schmidt, 2019, Mathematische Zeitschrift.

On weakly almost periodic measures

D. Lenz, Nicolae Strungaru, 2016, Transactions of the American Mathematical Society.

Uniqueness of form extensions and domination of semigroups

D. Lenz, Melchior Wirth, M. Schmidt, 2016, 1604.05114.

Geometric properties of Dirichlet forms under order isomorphisms

D. Lenz, Melchior Wirth, M. Schmidt, 2018, 1801.08326.

Spectral theory of dynamical systems as diffraction theory of sampling functions

D. Lenz, 2020, Monatshefte für Mathematik.

An autocorrelation and a discrete spectrum for dynamical systems on metric spaces

DANIEL LENZ, D. Lenz, 2016, Ergodic Theory and Dynamical Systems.

Mathematics of aperiodic order

D. Lenz, J. Kellendonk, J. Savinien, 2015 .

New Relations Between Discrete and Continuous Transition Operators on (Metric) Graphs

D. Lenz, Konstantin Pankrashkin, 2015, Integral Equations and Operator Theory.

Global properties of Dirichlet forms in terms of Green’s formula

D. Lenz, M. Keller, J. Masamune, 2014, 1412.3355.

Diffusion determines the recurrent graph

D. Lenz, M. Keller, Melchior Wirth, 2014, 1405.3256.

Graphs of finite measure

Radoslaw K. Wojciechowski, D. Lenz, M. Keller, 2013, 1309.3501.

A MINICOURSE ON THE L SPECTRUM OF GRAPHS

D. Lenz, M. Keller, 2014 .

Amenability of horospheric products of uniformly growing trees

D. Lenz, F. Sobieczky, 2012 .

Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity

D. Lenz, Nicolae Strungaru, Timo Spindeler, 2023, Ergodic Theory and Dynamical Systems.

Combinatorics of the subshift associated with Grigorchuk’s group

D. Lenz, T. Nagnibeda, R. Grigorchuk, 2017, Proceedings of the Steklov Institute of Mathematics.

Diffusion on Delone sets

D. Lenz, Xueping Huang, Felix Pogorzelski, 2017, Journal of Statistical Physics.

Absence of absolutely continuous spectrum for generic quasi-periodic Schrödinger operators on the real line

D. Damanik, D. Lenz, 2021, Israel Journal of Mathematics.

Boundary representations of intermediate forms between a regular Dirichlet form and its active main part

D. Lenz, M. Keller, Melchior Wirth, 2023, 2301.01035.

Modulated crystals and almost periodic measures

D. Lenz, C. Richard, Jeong-Yup Lee, 2019, Letters in Mathematical Physics.

Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity

D. Lenz, Nicolae Strungaru, Timo Spindeler, 2020, 2006.10821.

Note on short‐time behavior of semigroups associated to self‐adjoint operators

A. Telcs, D. Lenz, M. Keller, 2015, 1509.01993.

Absence of absolutely continuous spectrum for generic quasi-periodic Schrödinger operators on the real line

D. Damanik, D. Lenz, 2019, Israel Journal of Mathematics.

Note on intrinsic metrics on graphs

D. Lenz, M. Schmidt, Felix Seifert, 2023, 2308.12665.

Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order

D. Lenz, T. Nagnibeda, R. Grigorchuk, 2017, Mathematische Annalen.

Uniformity Aspects of $\mathrm{SL}(2,\mathbb{R})$ Cocycles and Applications to Schr\"odinger Operators Defined Over Boshernitzan Subshifts

D. Damanik, D. Lenz, 2022, 2207.12153.