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Mathematics

D-Index
39
Citations
5319
World Ranking
2236
National Ranking
139

Overview

Daniel Lenz is affiliated with Friedrich Schiller University Jena in Germany and specializes in mathematics with a focus on several subfields including mathematical physics, applied mathematics, geometry and topology, computational theory and mathematics, and materials chemistry. Their research spans a wide range of mathematical topics, particularly in the areas of mathematical dynamics and fractals, spectral theory in mathematical physics, advanced mathematical theories, mathematical analysis and transform methods, geometric analysis and curvature flows, quasicrystal structures and properties, and nonlinear partial differential equations.

Among recent published works by Daniel Lenz are:

  • Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity, 2020, arXiv (Cornell University)
  • Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity, 2023, Ergodic Theory and Dynamical Systems
  • Uniqueness of form extensions and domination of semigroups, 2020, Journal of Functional Analysis
  • Pure point spectrum for dynamical systems and mean almost periodicity, 2020, arXiv (Cornell University)

Other notable papers featuring collaboration or thematic relevance include a 2022 publication titled The structure of mean equicontinuous group actions in the Israel Journal of Mathematics, authored by Gabriel Fuhrmann with an association to the research context of Lenz.

Frequent co-authors collaborating with Daniel Lenz include:

  • Matthias Keller
  • Radosław K. Wojciechowski
  • Nicolae Strungaru
  • Timo Spindeler
  • Marcel O. Schmidt

The scientist has regularly published in several venues, with multiple papers appearing in:

  • arXiv (Cornell University)
  • Israel Journal of Mathematics
  • Ergodic Theory and Dynamical Systems
  • Journal de Mathématiques Pures et Appliquées
  • Journal of Functional Analysis

In addition to articles, Daniel Lenz has contributed to scholarly books, notably publishing with Springer Nature a work titled Graphs and Discrete Dirichlet Spaces in 2021.

Best Publications

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

    Michael Baake;Daniel Lenz

  • Dirichlet forms and stochastic completeness of graphs and subgraphs

    Matthias Keller;Daniel Lenz

  • Characterization of model sets by dynamical systems

    Michael Baake;Daniel H. Lenz;Robert V. Moody

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

    M. Keller;D. Lenz

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

    David Damanik;Rowan Killip;Daniel Lenz

  • Characterizations of model sets by dynamical systems

    Michael Baake;Daniel Lenz;Robert V. Moody

  • The Third Law of Thermodynamics and the Degeneracy of the Ground State for Lattice Systems

    Michael Aizenman;Elliott H. Lieb

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

    Rupert L. Frank;Daniel Lenz;Daniel Wingert

  • Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

    Sebastian Haeseler;Matthias Keller;H. Daniel Lenz;Radosław K. Wojciechowski

  • Pseudogroups and their étale groupoids

    Mark V. Lawson;Daniel H. Lenz

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

    David Damanik;Rowan Killip;Daniel Lenz

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

    David Damanik;Daniel Lenz

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

    Daniel Lenz

  • Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals

    Daniel Lenz

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

    Daniel H. Lenz;Nicolae Strungaru

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

    Daniel Lenz;Peter Stollmann

  • The Index of Sturmian Sequences

    David Damanik;Daniel Lenz

  • PURE POINT DIFFRACTION IMPLIES ZERO ENTROPY FOR DELONE SETS WITH UNIFORM CLUSTER FREQUENCIES

    Michael Baake;Daniel Lenz;Christoph Richard

  • VOLUME GROWTH, SPECTRUM AND STOCHASTIC COMPLETENESS OF INFINITE GRAPHS

    Matthias Keller;Daniel Lenz;Rados Law K. Wojciechowski

  • Delone dynamical systems and associated random operators

    D Lenz;P Stollmann

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

    David Damanik;Daniel Lenz

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

    Michael Baake;Daniel Lenz

Frequent Co-Authors

David Damanik
David Damanik Rice University
Michael Baake
Michael Baake Bielefeld University
Rostislav Grigorchuk
Rostislav Grigorchuk Texas A&M University
Robert V. Moody
Robert V. Moody University of Victoria
Anne Boutet de Monvel
Anne Boutet de Monvel Université Paris Cité
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Rowan Killip
Rowan Killip University of California, Los Angeles
Thomas Schick
Thomas Schick University of Göttingen

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