521 papers in the wider index
Limits, convergence, and functional spaces.
We establish a priori estimates guaranteeing smoothness of weak solutions to the three-dimensional Navier–Stokes system on finite time intervals, extending the Ladyzhenskaya framework to time-dependent external forcing.
We construct a self-adjoint operator whose eigenvalues coincide with the nontrivial zeros of the Riemann zeta function, yielding a conditional path to the long-standing conjecture via spectral theory.
Spectral distributions for large non-Hermitian ensembles under multiplicative noise; we prove almost-sure convergence to the circular law and quantify the rate of convergence.
We study to what extent the Dirichlet spectrum of a planar domain determines its geometry, constructing the first non-isospectral pairs with six identical leading eigenvalues.
We give a well-posedness theory for the Langevin dynamics of Yang–Mills in temporal gauge, constructing the stochastic quantization measure on the space of distributional connections.