Analysis & PDEs
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- The geometric case of the Erdős Similarity Conjecture. A human exposition of the OpenAI proof
- The polyharmonic Hénon--Lane--Emden conjecture
- On the dichotomy of p-walk dimensions on metric measure spaces II
- Nonradial entire solutions of the critical Hénon equation for every α>2
- Sharp Thresholds of Instability for the Biharmonic Nonlinear Schrödinger Equations
- The relative dimension set of an extremal subfactor of finite index
- Near-Critical Asymptotics and Radial Sharpness for a Two-Weight Hardy Inequality
- Carleson measures, Volterra integral operators and multipliers for QK spaces
- Generalization Error Bounds for Picard-Type Operator Learning in Nonlinear Parabolic PDEs
- Construction of the 2D non-Abelian Yang-Mills-Higgs measure via stochastic quantisation
- A Stieltjes representation of order p for $ \mathrm{tr}[(A+tB)^{-p}]$: Heinävaara's measure, B-splines, and Stahl's theorem
- Near-optimal bounds for the critical 2d SHF and the delta-Bose gas
- A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials
- High-order fractional linear differential equations do not describe stochastic processes with finite state space
- Uniqueness and shape of simplex ground states for aggregation--diffusion energies with mild repulsion
- Quantum 6j-symbols arising from a subfactor of finite index and finite depth and the zipper condition for 4-tensors in two-dimensional topological order
- Compatibility of Martensitic Microstructures in Polycrystals
- POLLUTANT CONCENTRATION RECONSTRUCTION IN POROUS MEDIA FROM LOCALIZED MEASUREMENTS
- Gromov hyperbolicity and uniformity
- Asymptotic Stability and Lp Time-Decay Rates of Rarefaction Waves for Systems of Viscous Conservation Laws
- Hyperrigidity and convexity in two variables
- Spectral Dynamics and Fuglede--Kadison Determinants for Wreath Products
- Nonlinear stability of Schwarzschild black holes for the Einstein-massless Dirac system in spherical symmetry
- Improved criteria for geometric properties of confluent hypergeometric functions
- Monotonicity and bounded variation for harmonic mappings with applications to special functions