Open problems

CA · AIM Open Applied Problems · Bochner–Riesz means · Fourier multipliers

AP · AIM Open Applied Problems · Cole–Hopf transformation · omega-limit sets · viscous Burgers equation

DG · AIM Open Applied Problems · Cartan–Hadamard manifolds · isoperimetric inequality · nonpositive curvature

AP · AIM Open Applied Problems · complex elliptic operators · harmonic lifting · maximum principle

NA · adaptive algorithms · AIM Open Applied Problems · continuous measurements · information-based complexity

NA · AIM Open Applied Problems · continuous measurements · information-based complexity · manifold widths

PR · AIM Open Applied Problems · critical phenomena · percolation

AP · AIM Open Applied Problems · Allen–Cahn equation · De Giorgi conjecture · phase transitions

AP · AIM Open Applied Problems · integrate-and-fire neurons · nonlinear Fokker–Planck equations · periodic solutions

FA · AIM Open Applied Problems · amenability · uniformly bounded representations · unitarizable groups

PR · AIM Open Applied Problems · Gaussian approximation · kernel gradient flows · maximum mean discrepancy

AP · AIM Open Applied Problems · Dirichlet-to-Neumann operator · heat kernel bounds · Lipschitz domains

PR · AIM Open Applied Problems · Elo rating system · invariant measures · Markov chains

MP · AIM Open Applied Problems · bosonic channels · entropy photon-number inequality · von Neumann entropy

AP · AIM Open Applied Problems · Fourier integral operators · local smoothing · wave equation

AP · AIM Open Applied Problems · Fisher information · optimal transport · weighted Sobolev approximation

CA · AIM Open Applied Problems · almost everywhere convergence · Carleson operator · Fourier series

AP · aggregation-diffusion equations · AIM Open Applied Problems · energy minimizers

AP · AIM Open Applied Problems · backward problems · logarithmic convexity · time-fractional diffusion

PR · AIM Open Applied Problems · factorized Gaussian approximations · variational inference · α-divergences

MP · AIM Open Applied Problems · Haldane gap · Heisenberg chain · quantum spin chains

NA · AIM Open Applied Problems · Coulomb potential · splitting methods · Trotter product formula

FA · AIM Open Applied Problems · Beurling density · dynamical sampling · frames

AP · AIM Open Applied Problems · gradient regularity · infinity Laplacian · viscosity solutions

OA · AIM Open Applied Problems · Kadison–Kastler conjecture · perturbations of von Neumann algebras

OA · AIM Open Applied Problems · C*-algebras · completely bounded maps · similarity problem

AP · AIM Open Applied Problems · Lane–Emden systems · Liouville theorems

DS · AIM Open Applied Problems · D-stability · global stability · Lotka-Volterra systems

MG · AIM Open Applied Problems · convex bodies · Mahler conjecture · volume product

NA · AIM Open Applied Problems · boundary observability · mixed finite elements · wave equation

OC · AIM Open Applied Problems · bin packing · cutting stock problem · integrality gap

AP · AIM Open Applied Problems · Ma–Trudinger–Wang condition · optimal transport · Riemannian manifolds

CO · AIM Open Applied Problems · complex Hadamard matrices · mutually unbiased bases

PR · AIM Open Applied Problems · nonamenable graphs · percolation · uniqueness threshold

AP · AIM Open Applied Problems · coercivity estimates · fractional Sobolev spaces · integro-differential operators

NA · AIM Open Applied Problems · boundary integral equations · Helmholtz equation · Nyström method

AP · AIM Open Applied Problems · Alt–Caffarelli functional · minimizing cones · one-phase free boundary problem

SP · AIM Open Applied Problems · convex domains · hot spots conjecture · Neumann eigenfunctions

PR · AIM Open Applied Problems · deletion channel · sample complexity · trace reconstruction

MP · AIM Open Applied Problems · completely positive maps · entanglement breaking channels · PPT squared conjecture

PR · AIM Open Applied Problems · Onsager–Machlup functionals · product measures · small-ball probabilities

DS · AIM Open Applied Problems · Hilbert's sixteenth problem · limit cycles · quadratic vector fields

DS · AIM Open Applied Problems · chemical reaction networks · mass-action kinetics · persistence

AP · AIM Open Applied Problems · Boltzmann equation · renormalized solutions · uniqueness

SP · AIM Open Applied Problems · convex domains · fundamental gap · Robin Laplacian

AP · AIM Open Applied Problems · Calderón problem · Dirichlet-to-Neumann map · electrical impedance tomography

PR · AIM Open Applied Problems · random walk in random environment · zero–one laws

PR · AIM Open Applied Problems · ballisticity · random walk in random environment

CO · AIM Open Applied Problems · graph homomorphisms · Sidorenko's conjecture

MG · AIM Open Applied Problems · convex bodies · isotropic constant · slicing problem