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papers

Publications (91)

math.DS2017

Combinatorics of the subshift associated to Grigorchuk's group

Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda

math.FA2010

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

Rupert L. Frank, Daniel Lenz, Daniel Wingert

math.DS2006

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

Daniel Lenz, Christoph Richard

math.CO2009

Note on powers in three interval exchange transformations

Daniel Lenz, Zuzana Masakova, Edita Pelantova

math-ph2011

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

Daniel Lenz, Fabian Schwarzenberger, Ivan Veselić

astro-ph.GA2015

Dust in a compact, cold, high-velocity cloud: A new approach to removing foreground emission

Daniel Lenz, Lars Flöer, Jürgen Kerp

math.NT2017

Averaging almost periodic functions along exponential sequences

Michael Baake, Alan Haynes, Daniel Lenz

math-ph2013

Zero measure Cantor spectra for continuum one-dimensional quasicrystals

Daniel Lenz, Christian Seifert, Peter Stollmann

math-ph2008

Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks

Daniel Lenz

math.DS2016

An autocorrelation and discrete spectrum for dynamical systems on metric spaces

Daniel Lenz

math.DS2004

A Condition of Boshernitzan and Uniform Convergence in the Multiplicative Ergodic Theorem

David Damanik, Daniel Lenz

math.FA2014

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

Sebastian Haeseler, Matthias Keller, Daniel Lenz +2

math.DS2007

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

Daniel Lenz

math.FA2013

Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

Sebastian Haeseler, Matthias Keller, Daniel Lenz +1

math-ph2010

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

Steffen Klassert, Daniel Lenz, Peter Stollmann

math-ph2009

An uncertainty principle, Wegner estimates and localization near fluctuation boundaries

Anne Boutet de Monvel, Daniel Lenz, Peter Stollmann

math-ph2009

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

Daniel Lenz, Robert V. Moody

math-ph2002

Integrated density of states for random metrics on manifolds

Daniel Lenz, Norbert Peyerimhoff, Ivan Veselic'

math.GR2016

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

Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda

math.DS2016

Toeplitz flows and model sets

Michael Baake, Tobias Jaeger, Daniel Lenz

math.FA2018

Topological Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs

Daniel Lenz, Marcel Schmidt, Peter Stollmann

math.DS2000

Linear repetitivity, I. Uniform subadditive ergodic theorems and applications

David Damanik, Daniel Lenz

math.FA2011

Dirichlet forms and stochastic completeness of graphs and subgraphs

Matthias Keller, Daniel Lenz

math.SP2009

Continuity of the integrated density of states on random length metric graphs

Daniel Lenz, Norbert Peyerimhoff, Olaf Post +1

math.CO2011

A characterization of subshifts with bounded powers

Johannes Kellendonk, Daniel Lenz, Jean Savinien

math.SP2014

Note on spectra of non-selfadjoint operators over dynamical systems

Siegfried Beckus, Daniel Lenz, Marko Lindner +1

math.MG2018

The Ihara Zeta function for infinite graphs

Daniel Lenz, Felix Pogorzelski, Marcel Schmidt

math-ph2002

Delone dynamical systems and associated random operators

Daniel Lenz, Peter Stollmann

math.FA2012

Note on basic features of large time behaviour of heat kernels

Matthias Keller, Daniel Lenz, Hendrik Vogt +1

math-ph2011

Stationary processes with pure point diffraction

Daniel Lenz, Robert V. Moody

math.MG2008

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

Daniel Lenz, Ivan Veselic'

math.SP2014

An invitation to trees of finite cone type: random and deterministic operators

Matthias Keller, Daniel Lenz, Simone Warzel

math.SP2012

Volume Growth, Spectrum and Stochastic Completeness of Infinite Graphs

Matthias Keller, Daniel Lenz, Radoslaw K. Wojciechowski

math-ph2004

Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians

Daniel Lenz, Peter Stollmann

math-ph2009

The Allegretto-Piepenbrink Theorem for strongly local forms

Daniel Lenz, Peter Stollmann, Ivan Veselić

math.FA2018

Geometric properties of Dirichlet forms under order isomorphisms

Daniel Lenz, Marcel Schmidt, Melchior Wirth

math.DS2004

Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

Michael Baake, Daniel Lenz

math.SP2011

On the spectral theory of trees with finite cone type

Matthias Keller, Daniel Lenz, Simone Warzel

math.DS2007

Characterizations of model sets by dynamical systems

Michael Baake, Daniel Lenz, Robert V. Moody

math.DS2018

Spectral theory of dynamical systems as diffraction theory of sampling functions

Daniel Lenz

math-ph2006

Uniform existence of the integrated density of states for models on $\ZZ^d$

Daniel Lenz, Peter Mueller, Ivan Veselić

math.DS2000

Hierarchical structures in Sturmian dynamical systems

Daniel Lenz

math.DS2007

Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies

Michael Baake, Daniel Lenz, Christoph Richard

math.SP2007

Sch'nol's Theorem For Strongly Local Forms

Anne Boutet de Monvel, Daniel Lenz, Peter Stollmann

math-ph2011

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

Matthias Keller, Daniel Lenz, Simone Warzel

math.OA2006

On an order based construction of a groupoid from an inverse semigroup

Daniel Lenz

math.DS2005

Deformation of Delone dynamical systems and pure point diffraction

Michael Baake, Daniel Lenz

math.SP1999

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

David Damanik, Daniel Lenz

math-ph1999

Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues

David Damanik, Daniel Lenz

math.FA2017

Boundary representation of Dirichlet forms on discrete spaces

Matthias Keller, Daniel Lenz, Marcel Schmidt +1

math.DS2014

Equicontinuous factors, proximality and Ellis semigroup for Delone sets

Jean-baptiste Aujogue, Marcy Barge, Johannes Kellendonk +1

math.FA2017

Domination of quadratic forms

Daniel Lenz, Marcel Schmidt, Melchior Wirth

math.DS2014

Dynamical versus diffraction spectrum for structures with finite local complexity

Michael Baake, Daniel Lenz, Aernout van Enter

astro-ph.GA2014

Far-infrared excess emission as a tracer of disk-halo interaction

Daniel Lenz, Jürgen Kerp, Lars Flöer +3

math.SP2017

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

Daniel Lenz, Peter Stollmann

math.SP2010

Compactness of Schrödinger semigroups

Daniel Lenz, Peter Stollmann, Daniel Wingert

math.SP2016

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

Siegfried Beckus, Daniel Lenz, Marko Lindner +1

math-ph2001

Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals

Daniel Lenz

math.FA2011

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

Matthias Keller, Daniel Lenz

math-ph2002

Discontinuities of the integrated density of states for random operators on Delone sets

Steffen Klassert, Daniel Lenz, Peter Stollmann

astro-ph.GA2017

A new, large-scale map of interstellar reddening derived from HI emission

Daniel Lenz, Brandon S. Hensley, Olivier Doré

math.FA2014

Note on uniformly transient graphs

Matthias Keller, Daniel Lenz, Marcel Schmidt +1

math.SP2014

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

Daniel Lenz, Alexander Teplyaev

math.FA2014

Diffusion determines the recurrent graph

Matthias Keller, Daniel Lenz, Marcel Schmidt +1

math-ph2003

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

Daniel Lenz, Peter Stollmann

math.DS2018

Model sets with positive entropy in Euclidean cut and project schemes

Tobias Jäger, Daniel Lenz, Christian Oertel

math.SP2013

New relations between discrete and continuous transition operators on (metric) graphs

Daniel Lenz, Konstantin Pankrashkin

nucl-ex2008

MaGe - a Geant4-based Monte Carlo framework for low-background experiments

Yuen-Dat Chan, Jason A. Detwiler, Reyco Henning +14

nucl-ex2010

\textsc{MaGe} - a {\sc Geant4}-based Monte Carlo Application Framework for Low-background Germanium Experiments

Melissa Boswell, Yuen-Dat Chan, Jason A. Detwiler +20

math.SP2007

Continuity properties of the integrated density of states on manifolds

Daniel Lenz, Norbert Peyerimhoff, Olaf Post +1

math.FA2015

Note on short time behavior of semigroups associated to selfadjoint operators

Matthias Keller, Daniel Lenz, Florentin Münch +2

math.DS2019

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

Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda +1

math-ph2001

Uniform spectral properties of one-dimensional quasicrystals, IV. Quasi-Sturmian potentials

David Damanik, Daniel Lenz

math.SP2005

Uniform Szego Cocycles Over Strictly Ergodic Subshifts

David Damanik, Daniel Lenz

math.CO2012

Linearly repetitive Delone sets Delone sets with finite local complexity: Linear repetitivity versus positivity of weights

Adnene Besbes, Michael Boshernitzan, Daniel Lenz

math.MG2002

Aperiodic linearly repetitive Delone sets are densely repetitive

Daniel Lenz

math.GR2017

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

Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda

math-ph2008

Eigenfunction expansion for Schrodinger operators on metric graphs

Daniel Lenz, Carsten Schubert, Peter Stollmann

math-ph2004

Lower Transport Bounds for One-Dimensional Continuum Schrödinger Operators

David Damanik, Daniel Lenz, Günter Stolz

math-ph1999

Uniform spectral properties of one-dimensional quasicrystals, III. $α$-continuity

David Damanik, Rowan Killip, Daniel Lenz

math.DS2016

Spectral notions of aperiodic order

Michael Baake, Daniel Lenz

math-ph2008

Aperiodic order and pure point diffraction

Daniel Lenz

math.DS2000

Uniform ergodic theorems on subshifts over a finite alphabet

Daniel Lenz

math-ph1999

Uniform spectral properties of one-dimensional quasicrystals, II. The Lyapunov exponent

David Damanik, Daniel Lenz

math-ph2012

Unbounded quantum graphs with unbounded boundary conditions

Daniel Lenz, Carsten Schubert, Ivan Veselić

math.SP2016

Diffusion on Delone sets

Sebastian Haeseler, Xueping Huang, Daniel Lenz +1

math.FA2018

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

Daniel Lenz, Peter Stollmann, Gunter Stolz

math.SP2009

Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms

Daniel Lenz, Peter Stollmann, Ivan Veselic

math.MG2013

Graphs of finite measure

Agelos Georgakopoulos, Sebastian Haeseler, Matthias Keller +2

math-ph2002

Random Schr"odinger operators on manifolds

Daniel Lenz, Norbert Peyerimhoff, Ivan Veselic'

math.DG2019

Universal lower bounds for Laplacians on weighted graphs

Daniel Lenz, Peter Stollmann