- Home
- Best Scientists - Mathematics
- Daniel Lenz

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
4,483
160
World Ranking
2069
National Ranking
125

- Mathematical analysis
- Algebra
- Real number

The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Discrete mathematics, Ergodic theory and Spectrum. Daniel Lenz has included themes like Dirichlet distribution and Dirichlet boundary condition in his Pure mathematics study. His study in the fields of Schrödinger's cat under the domain of Mathematical analysis overlaps with other disciplines such as Complex system.

His research integrates issues of Dirichlet's energy, Class number formula, Dirichlet series and Dirichlet form in his study of Discrete mathematics. His Ergodic theory study integrates concerns from other disciplines, such as Uniform convergence and Stationary ergodic process. His studies deal with areas such as Lebesgue measure and Bounded function as well as Spectrum.

- Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra (186 citations)
- Dirichlet forms and stochastic completeness of graphs and subgraphs (175 citations)
- Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation (143 citations)

His primary areas of investigation include Pure mathematics, Discrete mathematics, Mathematical analysis, Ergodic theory and Spectrum. His Pure mathematics study incorporates themes from Metric, Measure, Type, Aperiodic graph and Dirichlet distribution. His research investigates the link between Discrete mathematics and topics such as Combinatorics that cross with problems in Spectral theory.

His Mathematical analysis study deals with Diffraction intersecting with Euclidean space. His Ergodic theory research is multidisciplinary, incorporating elements of Uniform convergence, Stationary ergodic process, Banach space and Subadditivity. He combines subjects such as Lebesgue measure, Bounded function, Dynamical system and Absolute continuity with his study of Spectrum.

- Pure mathematics (42.59%)
- Discrete mathematics (22.69%)
- Mathematical analysis (22.69%)

- Pure mathematics (42.59%)
- Measure (17.13%)
- Spectral theory (9.26%)

Daniel Lenz spends much of his time researching Pure mathematics, Measure, Spectral theory, Spectrum and Locally compact space. The various areas that Daniel Lenz examines in his Pure mathematics study include Aperiodic graph, Uniqueness and Dirichlet distribution. His studies in Measure integrate themes in fields like Metric, Boundary, Invariant, Diffraction and Bounded function.

In his study, Discrete mathematics is strongly linked to Heat kernel, which falls under the umbrella field of Metric. Daniel Lenz combines Spectrum and Dynamical system in his research. His Locally compact space research is multidisciplinary, relying on both Ergodic theory, Dynamical system, Metric space and Abelian group.

- Spectral notions of aperiodic order (42 citations)
- Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order (26 citations)
- On weakly almost periodic measures (22 citations)

- Mathematical analysis
- Algebra
- Real number

His scientific interests lie mostly in Pure mathematics, Spectrum, Measure, Boundary and Aperiodic graph. His Pure mathematics research integrates issues from Convolution, Bounded function, Dynamical system and Dirichlet distribution. The concepts of his Spectrum study are interwoven with issues in Lebesgue measure, Equivariant map, Eigenvalues and eigenvectors and Order.

He has researched Measure in several fields, including Dirichlet boundary condition, Dirichlet problem, Eigenfunction, Isoperimetric inequality and Cayley graph. His work carried out in the field of Boundary brings together such families of science as Metric, Compactification, Uniqueness, Trace class and Completeness. The study incorporates disciplines such as Cantor set, Group, Order and Spectral theory in addition to Aperiodic graph.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Michael Baake;Daniel Lenz.

Ergodic Theory and Dynamical Systems **(2004)**

306 Citations

Dirichlet forms and stochastic completeness of graphs and subgraphs

Matthias Keller;Daniel Lenz.

Crelle's Journal **(2012)**

261 Citations

Characterization of model sets by dynamical systems

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

Ergodic Theory and Dynamical Systems **(2007)**

184 Citations

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

M. Keller;D. Lenz.

Mathematical Modelling of Natural Phenomena **(2010)**

157 Citations

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

David Damanik;Rowan Killip;Daniel Lenz.

Communications in Mathematical Physics **(2000)**

132 Citations

Characterizations of model sets by dynamical systems

Michael Baake;Daniel Lenz;Robert V. Moody.

arXiv: Dynamical Systems **(2005)**

124 Citations

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

David Damanik;Rowan Killip;Daniel Lenz.

arXiv: Mathematical Physics **(1999)**

113 Citations

Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

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

Journal of Spectral Theory **(2012)**

108 Citations

Pseudogroups and their étale groupoids

Mark V. Lawson;Daniel H. Lenz.

Advances in Mathematics **(2013)**

103 Citations

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

Rupert L. Frank;Daniel Lenz;Daniel Wingert.

Journal of Functional Analysis **(2014)**

100 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Rice University

Bielefeld University

University of Victoria

California Institute of Technology

University of California, Los Angeles

KU Leuven

Tel Aviv University

University of Miami

North Carolina State University

National Research Council (CNR)

University of Utah

University of California, Davis

Newcastle University

Tohoku University

Lund University

Kyoto University

University of Santiago de Compostela

University of Minnesota

Australian National University

Queens College, CUNY

Stony Brook University

Something went wrong. Please try again later.