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.
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.
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.
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.
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Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra
Michael Baake;Daniel Lenz.
Ergodic Theory and Dynamical Systems (2004)
Dirichlet forms and stochastic completeness of graphs and subgraphs
Matthias Keller;Daniel Lenz.
Crelle's Journal (2012)
Characterization of model sets by dynamical systems
Michael Baake;Daniel H. Lenz;Robert V. Moody.
Ergodic Theory and Dynamical Systems (2007)
Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
M. Keller;D. Lenz.
Mathematical Modelling of Natural Phenomena (2010)
Uniform Spectral Properties of One-Dimensional Quasicrystals, III. α-Continuity
David Damanik;Rowan Killip;Daniel Lenz.
Communications in Mathematical Physics (2000)
Characterizations of model sets by dynamical systems
Michael Baake;Daniel Lenz;Robert V. Moody.
arXiv: Dynamical Systems (2005)
Uniform spectral properties of one-dimensional quasicrystals, III. $lpha$-continuity
David Damanik;Rowan Killip;Daniel Lenz.
arXiv: Mathematical Physics (1999)
Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
Sebastian Haeseler;Matthias Keller;H. Daniel Lenz;Radosław K. Wojciechowski.
Journal of Spectral Theory (2012)
Pseudogroups and their étale groupoids
Mark V. Lawson;Daniel H. Lenz.
Advances in Mathematics (2013)
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)
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