Stefan Steinerberger

Teaching  

Recent publications (full list) (sorted by topic)  

• (with Tony Zeng) A curious dynamical system in the plane arxiv
• Universal lower bounds for Dirichlet eigenvalues, arxiv
• (with Jeck Lim) On differences of two harmonic numbers, arxiv
• (with Bandeira and Mixon) A lower bound for the Balan-Jiang matrix problem, arxiv
• Randomly Pivoted Partial Cholesky: Random How? arxiv
• On a problem involving unit fractions arxiv
• A note on approximate Hadamard matrices arxiv, Designs, Code and Cryptography , accepted.
• (with Thomas) Conformally rigid graphs, arxiv
• Bad Science Matrices arxiv
• Sums of square roots that are close to an integer arxiv, J. Number Theory, accepted.
• Nonlinear recursions on the reals and a problem of Graham, arxiv
• (with Raghav Venkatraman), Dirichlet eigenfunctions with nonzero mean value, arxiv
• (with Mariana Smit Vega Garcia) An Almgren monotonicity formula for discrete harmonic functions, arxiv
• Random Growth via Gradient Flow Aggregation, arxiv
• (with Ovall, Quan, Reid) On localization of eigenfunctions of the magnetic Laplacian, arxiv
• (with Bilyk, Mastrianni), Single radius spherical cap discrepancy via gegenbadly approximable numbers arxiv, Advances in Mathematics, accepted.
• (with Bilyk, Chang, Heinävaara, Matzke) A random line intersects S^2 in two probabilistically independent locations, arxiv
• (with Ottolini) Greedy Matching in Optimal Transport with concave cost, arxiv
• (with Babecki and Thomas) Spectrahedral Geometry of Graph Sparsifiers, arxiv
• (with Faulhuber) Maximal polarization for periodic configurations on the real line, arxiv, IMRN , accepted.
• (with Ottolini) Concentration of Hitting Times in Erdos-Renyi graphs, arxiv, Journal of Graph Theory , accepted.
• (with Devriendt and Ottolini) Graph curvature via resistance distance, arxiv, Discrete Applied Mathematics , accepted.
• Local sign changes of polynomials, arxiv, Journal d'Analyse Mathematique , accepted.
• (with Shubham Gupta) Rearrangement Inequalities on the Lattice Graph, arxiv, Bull. London Math. Soc. , accepted.
• (with Andrea Ottolini) Guessing cards with complete feedback, arxiv, Adv. Appl. Math., accepted.
• Quadratic Crofton and sets that see themselves as little as possible, arxiv, Monatshefte Math., accepted.
• (with Hoskins and Quan) Magnetic Schrodinger operators and landscape functions, arxiv, Comm. PDE, accepted.
• An Inequality Characterizing Convex Domains, arxiv
• Discrete Rearrangements and the Polya-Szegő Inequality on Graphs, arxiv, Studia Mathematica, accepted.
• (with Burdzy, Hoskins) From pinned billiard balls to partial differential equations, arxiv
• Some Remarks on the Erdős Distinct Subset Sums Problem, arxiv, Int. J. Number Theory, accepted.
• An elementary proof of a lower bound for the inverse of the star discrepancy, arxiv, J. Complexity, accepted.
• On Combinatorial Properties of Greedy Wasserstein Minimization, arxiv, J. Math. Anal. Appl., accepted.
• Approximate Solutions of Linear Systems at a Universal Rate, arxiv, SIAM J. Matrix Analysis and Applications, accepted.
• An Agmon estimate for Schrodinger operators on Graphs, arxiv, Lett. Math. Phys., accepted.
• (with Rekha Thomas) Random Walks, Equidistribution and Graphical Designs arxiv
• The first eigenvector of a distance matrix is nearly constant arxiv, Discrete Math., accepted.
• (with Alaifari, Bartolucci, Wellershoff) On the connection between uniqueness from samples and stability in Gabor phase retrieval arxiv, Sampling Theory, Signal Processing, and Data Analysis, accepted.
• (with Bamdad Hosseini) Intrinsic Sparsity of Kantorovich Solutions arxiv, Comptes Rendus Mathematique, accepted.
• Sums of Distances on Graphs and Embeddings into Euclidean Space arxiv, Mathematika, accepted.
• Curvature on Graphs via Equilibrium Measures arxiv, J. Graph Theory, accepted.
• The Boundary of a Graph and its Isoperimetric Inequality arxiv, J. Discrete Applied Mathematics, accepted.
• (with Hau-tieng Wu) Fundamental component enhancement via adaptive nonlinear activation functions, arxiv, App. Comp. Harm. Anal. , accepted.
• Quantum Entanglement and the Growth of Laplacian Eigenfunctions arxiv, Comm. PDE, accepted.

Some slides