Stefan Steinerberger
I am a Professor of Mathematics and Applied Mathematics at the University of Washington, Seattle.
I can be reached via [first 8 letters of last name]@uw.edu. CV
- (with Francois Clement) Balanced Stick Breaking arxiv
- (with Francois Clement) Robust Online Sampling from Possibly Moving Target Distributions arxiv
- (with Colominas and Wu) Time-Frequency Filtering Meets Graph Clustering, arxiv.
- Superpolynomial convergence in the Riemann Rearrangement Theorem, arxiv
- Potential Theory and the Boundary of Combinatorial Graphs, arxiv
- (with Chowdhury and Thomas) Graphical Designs find Combinatorial Structures, arxiv
- (with Gouveia and Thomas) Conformal Rigidity and Spectral Embeddings of Graphs arxiv
- Many antipodes implies many neighbors, arxiv
- (with Tony Zeng) A curious dynamical system in the plane arxiv
- A Stability Version of the Jones Opaque Set Inequality, arxiv
- (with Mariana Smit Vega Garcia) An Almgren monotonicity formula for discrete harmonic functions, arxiv
- Bad Science Matrices arxiv
- (with Francois Clement) On the largest singular vector of the Redheffer matrix arxiv, Linear Algebra and its Applications, 725 (2025), 96-114.
- (with Francois Clement) Small gaps in the Ulam sequence arxiv, Comptes Rendus Mathematique 363 (2025), 941-949.
- (with Dmitriy Bilyk), Regularizing random variables by deleting a few arxiv, Journal of Geometric Analysis 35 (2025), 361.
- (with Francois Clement) Failure of Orthogonality of Rounded Fourier Bases arxiv, Indag. Math. , accepted.
- Kaczmarz Kac Walk, arxiv, Quarterly J. Appl. Math. 83 (2025), 655-666.
- (with Jeck Lim) On differences of two harmonic numbers, arxiv, Mathematika 71 (2025), e70009.
- (with Thomas) Conformally rigid graphs, arxiv, Journal of Graph Theory 109 (2025), 366-386.
- Nonlinear recursions on the reals and a problem of Graham, arxiv, J. Difference Eq. Appl. 31 (2025), 1560-1568.
- (with Burdzy, Hoskins)
From pinned billiard balls to partial differential equations, arxiv, Journal of Theoretical Probability , accepted.
- (with Rekha Thomas) Random Walks, Equidistribution and Graphical Designs
arxiv, Advances in Applied Mathematics 165 (2025), 102837.
- (with Raghav Venkatraman), Dirichlet eigenfunctions with nonzero mean value, arxiv, Proc. Amer. Math. Soc. 153 (2025), 5195-5204.
- Random Growth via Gradient Flow Aggregation, arxiv, Journal of Applied Probability 62 (2025), 735-755.
- (with Bilyk, Chang,
Heinävaara, Matzke) A random line intersects S^2 in two probabilistically
independent locations, arxiv 35 (2025), 263.
- (with Ottolini) Greedy Matching in Optimal Transport with concave cost, arxiv, Annales Fennici Mathematici 50 (2025), 549 - 562.
- (with Babecki and Thomas) Spectrahedral Geometry of Graph Sparsifiers, arxiv, SIAM J. Discrete Math 39 (2025), 449 - 483.
- (with Bandeira and Mixon) A lower bound for the Balan-Jiang matrix problem, arxiv, ACHA 73 (2024), 101696
- A note on approximate Hadamard matrices arxiv, Designs, Code and Cryptography 92 (2024), 3125-3131.
- Sums of square roots that are close to an integer arxiv, J. Number Theory 262 (2024), 45-57.
- (with Ovall, Quan, Reid) On localization of eigenfunctions of the magnetic Laplacian, arxiv, Reports in Mathematical Physics 94 (2024), 235-257.
- (with Bilyk, Mastrianni), Single radius spherical cap discrepancy via gegenbadly approximable numbers arxiv, Advances in Mathematics, 452 (2024), 109812.
- (with Faulhuber) Maximal polarization for periodic configurations on the real line, arxiv, IMRN (2024), 7914-7943.
- (with Ottolini) Concentration of Hitting Times in Erdos-Renyi graphs, arxiv, Journal of Graph Theory 107 (2024), 245-262.
- (with Devriendt and Ottolini) Graph curvature via resistance distance, arxiv, Discrete Applied Mathematics 348 (2024), 68-78.
- Local sign changes of polynomials, arxiv, Journal d'Analyse Mathematique 154 (2024), 255-273.
- (with Shubham Gupta) Rearrangement Inequalities on the Lattice Graph, arxiv, Bull. London Math. Soc. 56 (2024), 3145-3163.
- Quadratic Crofton and sets that see themselves as little as possible, arxiv, Monatshefte Math. 204 (2024), 323-335.
- (with Hoskins and Quan) Magnetic Schrodinger operators and landscape functions, arxiv, Comm. PDE 49 (2024), 1-14.
- Discrete Rearrangements and the Polya-Szegő Inequality on Graphs, arxiv, Studia Mathematica 274 (2024), 269-286.
- On Combinatorial Properties of Greedy Wasserstein Minimization, arxiv, J. Math. Anal. Appl. 532 (2024), 127940.
- (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 22 (2024).
- (with Andrea Ottolini) Guessing cards with complete feedback, arxiv, Adv. Appl. Math. 150 (2023), 102569.
- Some Remarks on the Erdős Distinct Subset Sums Problem, arxiv, Int. J. Number Theory 19 (2023), 1783-1800.
- An elementary proof of a lower bound for the inverse of the star discrepancy, arxiv, J. Complexity 75 (2023), 101713.
- Approximate Solutions of Linear Systems at a Universal Rate, arxiv, SIAM J. Matrix Analysis and Applications 44 (2023), 1436 - 1446.
- An Agmon estimate for Schrodinger operators on Graphs, arxiv, Lett. Math. Phys. 113 (2023)
- The first eigenvector of a distance matrix is nearly constant arxiv, Discrete Math. 346 (2023), 113291.
- Sums of Distances on Graphs and Embeddings into Euclidean Space arxiv, Mathematika 69 (2023), 600-621.
- Curvature on Graphs via Equilibrium Measures arxiv, J. Graph Theory 103 (2023), 415-436.
- The Boundary of a Graph and its Isoperimetric Inequality arxiv, J. Discrete Applied Mathematics 338 (2023), 125-134.
- (with Hau-tieng Wu) Fundamental component enhancement via adaptive nonlinear activation functions, arxiv, App. Comp. Harm. Anal. 63 (2023), 135-143.
- Quantum Entanglement and the Growth of Laplacian Eigenfunctions arxiv, Comm. PDE 48 (2023), 511-541.
- (with Bamdad Hosseini) Intrinsic Sparsity of Kantorovich Solutions arxiv, Comptes Rendus Mathematique 360 (2022), 1173-1175.
Some slides
Some Open Problems in Fourier Analysis (2025)
Growth Models in the Plane (2025)
Curvature on Combinatorial Graphs (2023)
Growth of Laplacian Eigenfunctions (2022)
Five Short Stories about Optimal Transport (2022)
Nonlinear Fourier series (2021)
Random Walks on the Sphere and Linear Systems of Equations (2021)
Parabolic Techniques for Elliptic PDEs in Mathematical Physics (2021)
Exact Sparse Recovery via Refined Least Squares (2021)
Mean-Value Inequalities for Harmonic Functions (2021)
A PDE describing Roots of Polynomials under Differentiation (2021)
Optimal Coffee Shops, Numerical Integration and Kantorovich-Rubinstein Duality (2021)
The Hot Spots Conjecture on Graphs (2020)
Solving Linear Systems of Equations via Random Kaczmarz/Stochastic Gradient Descent (2020)
Nodal Sets of Eigenfunctions: Progress via Optimal Transport (2020)
Designs on Graphs (2020)
Dimension Reduction via t-SNE: Theory and Challenges (2020)
New Interactions between Analysis and Number Theory (2017)