| Publication | Date of Publication | Type |
|---|
| Discrete Algebraic sets in Discrete Manifolds | 2023-12-22 | Paper |
| Arboricity and Acyclic Chromatic Number | 2023-11-06 | Paper |
| On the arboricity of manifolds | 2023-10-22 | Paper |
| The Three Tree Theorem | 2023-09-04 | Paper |
| On the cohomology of measurable sets | 2023-07-23 | Paper |
| Weierstrass elliptic functions for the pendulum | 2023-06-18 | Paper |
| Mandelbulb, Mandelbrot, Mandelring and Hopfbrot | 2023-05-28 | Paper |
| Cohomology of open sets | 2023-05-21 | Paper |
| Spectral monotonicity of the Hodge Laplacian | 2023-04-03 | Paper |
| Characteristic Topological Invariants | 2023-02-05 | Paper |
| The Sphere Formula | 2023-01-13 | Paper |
| Finite topologies for finite geometries | 2023-01-08 | Paper |
| On Graphs, Groups and Geometry | 2022-05-27 | Paper |
| The Babylonian Graph | 2022-05-26 | Paper |
| Eigenvalue bounds of the Kirchhoff Laplacian | 2022-05-22 | Paper |
| The Tree-Forest Ratio | 2022-05-22 | Paper |
| Analytic torsion for graphs | 2022-01-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5022895 | 2022-01-19 | Paper |
| The Curvature of Graph Products | 2021-07-18 | Paper |
| Coloring Discrete Manifolds | 2021-06-27 | Paper |
| Remarks about the Arithmetic of Graphs | 2021-06-18 | Paper |
| Graph complements of circular graphs | 2021-01-17 | Paper |
| Probability Theory and Stochastic Processes with Applications | 2021-01-09 | Paper |
| Complexes, Graphs, Homotopy, Products and Shannon Capacity | 2020-12-13 | Paper |
| Green functions of Energized complexes | 2020-10-18 | Paper |
| Division algebra valued energized simplicial complexes | 2020-08-23 | Paper |
| Positive curvature and bosons | 2020-06-28 | Paper |
| On a theorem of Grove and Searle | 2020-06-21 | Paper |
| A Dehn type quantity for Riemannian manifolds | 2020-05-24 | Paper |
| The energy of a simplicial complex | 2020-05-13 | Paper |
| Vector Calculus and Linear Algebra | 2020-04-02 | Paper |
| On index expectation curvature for manifolds | 2020-01-19 | Paper |
| Integral geometric Hopf conjectures | 2020-01-06 | Paper |
| Constant index expectation curvature for graphs or Riemannian manifolds | 2019-12-24 | Paper |
| More on Poincare-Hopf and Gauss-Bonnet | 2019-12-01 | Paper |
| Poincare Hopf for vector fields on graphs | 2019-11-11 | Paper |
| A simple sphere theorem for graphs | 2019-10-07 | Paper |
| Energized simplicial complexes | 2019-08-18 | Paper |
| The counting matrix of a simplicial complex | 2019-07-21 | Paper |
| A parametrized Poincare-Hopf Theorem and Clique Cardinalities of graphs | 2019-06-15 | Paper |
| More on Numbers and Graphs | 2019-05-30 | Paper |
| Dehn-Sommerville from Gauss-Bonnet | 2019-05-12 | Paper |
| The average simplex cardinality of a finite abstract simplicial complex | 2019-05-06 | Paper |
| A Reeb sphere theorem in graph theory | 2019-03-24 | Paper |
| Cartan's Magic Formula for Simplicial Complexes | 2018-11-25 | Paper |
| Eulerian edge refinements, geodesics, billiards and sphere coloring | 2018-08-21 | Paper |
| Combinatorial manifolds are Hamiltonian | 2018-06-17 | Paper |
| The amazing world of simplicial complexes | 2018-04-22 | Paper |
| The Cohomology for Wu Characteristics | 2018-03-18 | Paper |
| The hydrogen identity for Laplacians | 2018-03-04 | Paper |
| An Elementary Dyadic Riemann Hypothesis | 2018-01-14 | Paper |
| One can hear the Euler characteristic of a simplicial complex | 2017-11-26 | Paper |
| On Atiyah-Singer and Atiyah-Bott for finite abstract simplicial complexes | 2017-08-20 | Paper |
| The strong ring of simplicial complexes | 2017-08-05 | Paper |
| On the arithmetic of graphs | 2017-06-18 | Paper |
| On a Dehn-Sommerville functional for simplicial complexes | 2017-05-29 | Paper |
| On Helmholtz free energy for finite abstract simplicial complexes | 2017-03-19 | Paper |
| Sphere geometry and invariants | 2017-02-12 | Paper |
| On Fredholm determinants in topology | 2016-12-24 | Paper |
| On Primes, Graphs and Cohomology | 2016-08-21 | Paper |
| Some experiments in number theory | 2016-06-20 | Paper |
| Goldbach for Gaussian, Hurwitz, Octavian and Eisenstein primes | 2016-06-19 | Paper |
| Universality for Barycentric subdivision | 2015-09-20 | Paper |
| A Sard theorem for graph theory | 2015-08-23 | Paper |
| The graph spectrum of barycentric refinements | 2015-08-09 | Paper |
| The Jordan-Brouwer theorem for graphs | 2015-06-21 | Paper |
| The Kuenneth formula for graphs | 2015-05-27 | Paper |
| Graphs with Eulerian unit spheres | 2015-01-12 | Paper |
| Coloring graphs using topology | 2014-12-22 | Paper |
| Curvature from Graph Colorings | 2014-10-05 | Paper |
| Cauchy-Binet for pseudo-determinants | 2014-08-26 | Paper |
| A Brouwer fixed-point theorem for graph endomorphisms | 2014-07-08 | Paper |
| Classical mathematical structures within topological graph theory | 2014-02-09 | Paper |
| A notion of graph homeomorphism | 2014-01-13 | Paper |
| The zeta function for circular graphs | 2013-12-15 | Paper |
| On quadratic orbital networks | 2013-12-01 | Paper |
| Natural orbital networks | 2013-11-25 | Paper |
| Dynamically generated Networks | 2013-11-17 | Paper |
| Analytic continuation of Dirichlet series with almost periodic coefficients | 2013-10-10 | Paper |
| The Euler characteristic of an even-dimensional graph | 2013-07-14 | Paper |
| Counting rooted forests in a network | 2013-07-14 | Paper |
| Isospectral deformations of the Dirac operator | 2013-06-24 | Paper |
| The Dirac operator of a graph | 2013-06-10 | Paper |
| An integrable evolution equation in geometry | 2013-05-31 | Paper |
| The McKean-Singer Formula in Graph Theory | 2013-01-07 | Paper |
| The Lusternik-Schnirelmann theorem for graphs | 2012-11-04 | Paper |
| Selfsimilarity in the Birkhoff sum of the cotangent function | 2012-06-23 | Paper |
| A Multivariable Chinese Remainder Theorem | 2012-06-22 | Paper |
| A discrete Gauss-Bonnet type theorem | 2012-06-13 | Paper |
| An index formula for simple graphs | 2012-05-01 | Paper |
| On index expectation and curvature for networks | 2012-02-20 | Paper |
| The theorems of Green-Stokes,Gauss-Bonnet and Poincare-Hopf in Graph Theory | 2012-01-29 | Paper |
| A graph theoretical Poincare-Hopf Theorem | 2012-01-05 | Paper |
| On the Dimension and Euler characteristic of random graphs | 2011-12-24 | Paper |
| Self-similarity and growth in Birkhoff sums for the golden rotation | 2011-12-08 | Paper |
| A graph theoretical Gauss-Bonnet-Chern Theorem | 2011-11-22 | Paper |
| On nonconvex caustics of convex billiards | 2003-08-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3837699 | 2003-01-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2741148 | 2001-09-09 | Paper |
| Topological entropy of standard type monotone twist maps | 2000-10-09 | Paper |
| Singular continuous spectrum and quantitative rates of weak mixing | 2000-08-16 | Paper |
| Random Schrödinger operators arising from lattice gauge fields. I. Existence and examples | 2000-08-16 | Paper |
| Iteration of the coupled map lattice construction | 2000-02-08 | Paper |
| Weakly mixing invariant tori of Hamiltonian systems | 1999-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4240979 | 1999-12-13 | Paper |
| Zero-dimensional singular continuous spectrum for smooth differential equations on the torus | 1999-07-05 | Paper |
| On the dynamics of a general unitary operator | 1999-03-18 | Paper |
| Nonlinear dynamics from the Wilson Lagrangian | 1998-06-11 | Paper |
| A deterministic displacement theorem for Poisson processes | 1998-01-22 | Paper |
| Maximizing the packing density on a class of almost periodic sphere packings | 1997-10-26 | Paper |
| Singular continuous spectrum for palindromic Schrödinger operators | 1996-06-19 | Paper |
| Cellular automata with almost periodic initial conditions | 1996-01-28 | Paper |
| Diagonalization of Abel’s Integral Operator | 1995-04-02 | Paper |
| Renormalization of random Jacobi operators | 1994-08-10 | Paper |
| Isospectral deformations of random Jacobi operators | 1993-05-16 | Paper |
| Factorization of random Jacobi operators and Bäcklund transformations | 1993-05-16 | Paper |
| Positive Lyapunov exponents for a dense set of bounded measurable SL(2, ℝ)-cocycles | 1993-02-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3979027 | 1992-06-26 | Paper |