- Harmonic measure and quantitative connectivity: geometric characterization of the Lp-solvability of the Dirichlet problem
2019/07/31 by Jonas Azzam, Steve Hofmann, José María Martell +2 · 9 citations
Computer Science · Mathematics · #Absolute continuity #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Boundary (topology) #Boundary value problem #Characterization (materials science) #Combinatorics #Data mining #Dirichlet distribution #Dirichlet problem #Harmonic function #Harmonic measure #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Nonlinear Partial Differential Equations #Open set #Pure mathematics #Scale (ratio) #math.AP #math.CA #msc:31B05 #msc:35J25 #msc:42B25 #msc:42B37
- Transport maps, non-branching sets of geodesics and measure rigidity
2017/04/18 by Martin Kell, Kell, Martin · 4 citations
Mathematics · #Absolute continuity #Bounded function #Branching (polymer chemistry) #Contraction (grammar) #Geodesic #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical analysis #Mathematics #Measure (data warehouse) #Metric space #Nonlinear Partial Differential Equations #Physics #Pure mathematics #Rigidity (electromagnetism) #math.DG #math.MG
- Gradient Descent Only Converges to Minimizers: Non-Isolated Critical Points and Invariant Regions
2017/01/01 by Ioannis Panageas, Georgios Piliouras · 2 citations
Mathematics · Medicine · #Absolute continuity #Applied mathematics #Bone and Joint Diseases #Combinatorics #Computer science #Convex function #Differentiable function #Eigenvalues and eigenvectors #Geometry #Gradient descent #Invariant (physics) #Lebesgue integration #Lebesgue measure #Linear subspace #Lipschitz continuity #Mathematical analysis #Mathematics #Maxima and minima #Muscle and Compartmental Disorders #Nabla symbol #Nonlinear Partial Differential Equations #Pure mathematics #Regular polygon #Saddle point #Upper and lower bounds
- Asymptotic estimates of multi-dimensional stable densities and their applications
2007/01/26 by Toshiro Watanabe · 18 citations
Economics, Econometrics and Finance · Mathematics · #Absolute continuity #Asymptotic distribution #Conjecture #Fractal #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Measure (data warehouse) #Moment (physics) #Multivariate statistics #Pure mathematics #Statistics #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
- An example of a computable absolutely normal number
2002/01/01 by Verónica Becher, Santiago Figueira · 2 citations
Computer Science · Mathematics · #Absolute continuity #Calculus (dental) #Cellular Automata and Applications #Combinatorics #Computability #Computability, Logic, AI Algorithms #Computable analysis #Computable number #Discrete mathematics #Fractal #Mathematical analysis #Mathematics #New normal #Pure mathematics #Sierpinski triangle #semigroups and automata theory
- A New Approach to Absolute Continuity of Elliptic Measure, with Applications to Non-symmetric Equations
2000/08/01 by Carlos E. Kenig, C. Kenig, H. Koch +5 · 32 citations
Mathematics · #Absolute (philosophy) #Absolute continuity #Advanced Harmonic Analysis Research #Data mining #Differential Equations and Boundary Problems #Mathematical analysis #Mathematics #Measure (data warehouse) #Nonlinear Partial Differential Equations
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
1971/12/01 by J. Aguilar, José Edgar Madriz Aguilar, J. M. Combes · 72 citations
Mathematics · Physics and Astronomy · #Absolute continuity #Analytic function #Bound state #Bounded function #Class (philosophy) #Complex system #Continuous spectrum #Energy spectrum #Mathematical analysis #Mathematical physics #Mathematics #Multiplicity (mathematics) #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Schrödinger equation #Spectral Theory in Mathematical Physics #Spectrum (functional analysis)