Analysis & PDEs
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- Upper Bounds on the de Bruijn-Newman constant for Dirichlet L-functions with primitive real-valued characters
- Monomial Moving Zeros for the Heat Semigroup: An Explicit Finite-Order Differential Hierarchy
- Lp-parabolicity of Riemannian manifolds
- Explicit sharp gradient stability of the Lp-Poincaré inequality and fundamental gaps for the Dirichlet p-Laplacian operator
- On counterexamples to the unification of free entropy
- A Brezis--Merle inequality for the biharmonic operator with Dirichlet boundary conditions in four-dimensional balls
- Low Residuals, Wrong Value: Learning the Viscosity Solution of Hamilton-Jacobi-Isaacs Equations with PINNs
- Counterexamples to the Monotone Completeness Conjecture
- A periodic Anderson--Bernoulli model with infinitely many spectral gaps
- BIBO stability in infinite dimensions: extensions and limitations of finite-dimensional theory
- A note on the hypercomplex singular Cauchy-like integral in Douglis analysis
- Single commutators in Schatten ideals
- Endpoint maximal estimates for the half-wave propagator
- A Critical Case for the Near Field Refraction Problem in Negative Refractive Index Material
- Convex-cyclic and super convex-cyclic weighted shifts
- Universal operators: topology and consequences of ISP failure
- Compact Quasi-Metric Spaces Are Expand-Contract Plastic
- Coarse rigidity in von Neumann algebras via derivations
- The Geometric Function Atlas: Using What We Know About Radius Problems to Solve New Ones
- A Riemann-Hilbert approach to the computation of transform pairs
- Kubo-Ando Means of Finite Order over Real Division Algebras
- Hypercomplex Method for Solving Nonlinear PDEs
- Polynomial Spectral Gap Estimates for Finitely Differentiable Quasi-Periodic Schrödinger Operators
- Finite-Dimensional Type I von Neumann Algebras in PyTorch: A GPU-Accelerated Framework for Random Block-Diagonal Operators
- Muckenhoupt weights for the Hardy-Littlewood maximal operator on hyperbolic spaces