1. Linear Convergence of Resolvent Splitting with Minimal Lifting and its Application to a Primal-Dual Algorithm
   2024/12/17 by Farhana Ahmed Simi, Simi, Farhana A., Matthew K. Tam +1 · 1 citation
   Computer Science · Engineering · Mathematics · #47H05 #49M27 #65K10 #90C30 #Algorithm #Applied mathematics #Computer science #Convergence (economics) #Dual (grammatical number) #Economics #FOS: Mathematics #Mathematical analysis #Mathematics #Optimization and Control (math.OC) #Resolvent #graph theory and CDMA systems #semigroups and automata theory
2. Stability of solitary wave solutions in the Lugiato-Lefever equation
   2023/12/13 by Lukas Bengel, Bengel, Lukas · 3 citations
   Mathematics · Physics and Astronomy · #35B35 #Advanced Fiber Laser Technologies #Analysis of PDEs (math.AP) #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Hamiltonian system #Instability #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear system #Physics #Primary: 34C23 #Quantum mechanics #Resolvent #Secondary: 35Q60 #Soliton #Stability (learning theory)
3. Refined decay rates of C₀-semigroups on Banach spaces
   2023/11/09 by Genilson Santana, de Santana, Genilson S., Silas L. Carvalho +1 · 1 citation
   Computer Science · Engineering · Mathematics · #34D05 #42B15 #47D06 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Banach space #Bounded function #Combinatorics #FOS: Mathematics #Functional Analysis (math.FA) #Generator (circuit theory) #Mathematical analysis #Mathematics #Norm (philosophy) #Numerical methods in inverse problems #Physics #Pure mathematics #Quantum mechanics #Resolvent #Semigroup #Stability and Controllability of Differential Equations
4. Every proximal mapping is a resolvent of level proximal subdifferential
   2023/03/04 by Xianfu Wang, Wang, Xianfu, Ziyuan Wang +1 · 1 citation
   Computer Science · Mathematics · #26B25 #47H04 #49J53 #Advanced Banach Space Theory #Convex optimization #FOS: Mathematics #Function (biology) #Geometry #Mathematical Inequalities and Applications #Mathematical analysis #Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Primary 49J52 #Pure mathematics #Regular polygon #Representation (politics) #Resolvent #Secondary 47H05 #Subderivative
5. Asymptotics of the Sketched Pseudoinverse
   2022/11/07 by Daniel LeJeune, Pratik Patil, LeJeune, Daniel +7 · 1 citation
   Computer Science · Mathematics · #15B52 #46L54 #62J07 #Advanced Combinatorial Mathematics #Algebra over a field #Applied mathematics #Artificial intelligence #Computer science #Data Structures and Algorithms (cs.DS) #Eigenvalues and eigenvectors #Equivalence (formal languages) #FOS: Computer and information sciences #FOS: Mathematics #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Moore–Penrose pseudoinverse #Numerical Analysis (math.NA) #Pure mathematics #Random Matrices and Applications #Random matrix #Regularization (linguistics) #Resolvent #Statistics Theory (math.ST)
6. Explicit exponential Runge-Kutta methods for semilinear integro-differential equations
   2022/06/12 by Alexander Ostermann, Ostermann, Alexander, Fardin Saedpanah +3 · 1 citation
   Mathematics · #65M15 #65R20 #Applied mathematics #Basis (linear algebra) #Convergence (economics) #Differential Equations and Numerical Methods #Discretization #Exponential function #FOS: Mathematics #Finite element method #Fractional Differential Equations Solutions #Galerkin method #Geometry #Hilbert space #Lipschitz continuity #Mathematical analysis #Mathematics #Numerical Analysis (math.NA) #Numerical analysis #Numerical methods for differential equations #Resolvent #Runge–Kutta methods #Smoothing
7. Generalised norm resolvent convergence: comparison of different concepts
   2022/02/07 by Olaf Post, Post, Olaf, Sebastian Zimmer +1 · 3 citations
   Computer Science · Engineering · Mathematics · #47A55 #47B02 #Applied mathematics #Computer science #Convergence (economics) #Economics #Epistemology #FOS: Mathematics #Focus (optics) #Functional Analysis (math.FA) #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Norm (philosophy) #Normal convergence #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Physics #Rate of convergence #Resolvent #Resolvent formalism #Spectral Theory (math.SP) #Stability and Control of Uncertain Systems #Telecommunications #cs.NA #math.FA #math.NA #math.SP #msc:47A55 #msc:47B02
8. The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators
   2021/05/07 by Alan L. Carey, Alan Carey, Carey, Alan +10 · 4 citations
   Mathematics · Physics and Astronomy · #35Q40 #47A40 #81Q10 #Advanced Operator Algebra Research #Combinatorics #Dirac (video compression format) #Dirac operator #FOS: Mathematics #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Nabla symbol #Omega #Physics #Primary: 35P25 #Quantum mechanics #Resolvent #Secondary: 47A10 #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #math.SP #msc:35P25 #msc:35Q40 #msc:47A10 #msc:47A40 #msc:81Q10
9. Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice
   2019/07/26 by Jian Ding, Charles K. Smart · 15 citations
   Mathematics · Physics and Astronomy · #Analytic continuation #Anderson impurity model #Bernoulli's principle #Combinatorics #Continuation #Exponential decay #Hamiltonian (control theory) #Impurity #Laplace operator #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Numerical methods in inverse problems #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Resolvent #Spectral Theory in Mathematical Physics #Spectrum (functional analysis) #Square lattice
10. Generalized monotone operators and their averaged resolvents
    2019/02/26 by Heinz H. Bauschke, Bauschke, Heinz H., Walaa M. Moursi +3 · 9 citations
    Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Applied mathematics #Class (philosophy) #Computer science #Convergence (economics) #Fixed Point Theorems Analysis #Fixed point #Mathematical analysis #Mathematics #Monotone polygon #Monotonic function #Operator (biology) #Optimization and Variational Analysis #Pure mathematics #Resolvent #Scaling #Set (abstract data type) #math.OC #msc:47H05 #msc:47H09 #msc:49N15 #msc:90C25
11. On tau-functions for the KdV hierarchy
    2018/12/20 by Boris Dubrovin, Dubrovin, Boris, Di Yang +3 · 4 citations
    Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computer science #Discrete mathematics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Function (biology) #Generating function #Hierarchy #KdV hierarchy #Korteweg–de Vries equation #Logarithm #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Modular design #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Ramanujan tau function #Resolvent #Series (stratigraphy) #math-ph #math.MP #nlin.SI
12. Continuum Schroedinger operators for sharply terminated graphene-like structures
    2018/10/08 by C. L. Fefferman, Charles Fefferman, Fefferman, C. L. +3 · 1 citation
    Materials Science · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Eigenvalues and eigenvectors #FOS: Mathematics #FOS: Physical sciences #Geometry #Graphene #Graphene research and applications #Hamiltonian (control theory) #Lambda #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics #Quantum Physics (quant-ph) #Quantum mechanics #Resolvent #Schrödinger's cat #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #Zigzag #cond-mat.mes-hall #cond-mat.mtrl-sci #math-ph #math.AP #math.MP #quant-ph
13. Schrödinger Operators with Singular Rank-Two Perturbations and Point Interactions
    2018/04/30 by Yuriy Golovaty · 1 citation
    Mathematics · Physics and Astronomy · #Boundary (topology) #Limit (mathematics) #Limit point #Norm (philosophy) #Numerical methods in inverse problems #Perturbation (astronomy) #Point (geometry) #Resolvent #Singular perturbation #Singular point of a curve #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #math-ph #math.MP #math.SP #msc:34B09 #msc:34L40 #msc:81Q10
14. Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei
    2017/06/30 by Matteo Gallone, Alessandro Michelangeli · 1 citation
    Mathematics · Physics and Astronomy · #Computer science #Coulomb #Coupling constant #Dirac (video compression format) #Domain (mathematical analysis) #Extension (predicate logic) #Hamiltonian (control theory) #Hilbert space #Mathematical analysis #Mathematical physics #Mathematics #Multiplicative function #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Resolvent #Self-adjoint operator #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #math-ph #math.MP #msc:47B25 #msc:47N20 #msc:47N50 #msc:81Q10
15. Norm-Resolvent Convergence in Perforated Domains
    2017/06/19 by Patrick Dondl, Dondl, Patrick, Kirill Cherednichenko +3 · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Boundary value problem #Combinatorics #Differential operator #Dirichlet boundary condition #Dirichlet problem #Domain (mathematical analysis) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Neumann boundary condition #Nonlinear Partial Differential Equations #Norm (philosophy) #Numerical methods in inverse problems #Omega #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Resolvent #math-ph #math.AP #math.MP
16. Trace formulae for Schrödinger operators on lattice
    2017/02/05 by Evgeny Korotyaev, Korotyaev, Evgeny · 1 citation
    Mathematics · #Class (philosophy) #Differential Equations and Boundary Problems #Eigenvalues and eigenvectors #FOS: Mathematics #Finite-rank operator #Hilbert space #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Nuclear operator #Numerical methods in inverse problems #Operator (biology) #Operator theory #Physics #Pure mathematics #Quantum mechanics #Resolvent #Schrödinger's cat #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #TRACE (psycholinguistics) #Trace class #math.SP
17. Stability of the matrix Dyson equation and random matrices with correlations
    2016/04/30 by Oskari H. Ajanki, Oskari Ajanki, László Erdős +2 · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Hermitian matrix #Limit (mathematics) #Matrix (chemical analysis) #Quantum Information and Cryptography #Random Matrices and Applications #Random matrix #Resolvent #Spectral Theory in Mathematical Physics #Stability (learning theory) #Universality (dynamical systems) #math-ph #math.MP #math.PR #msc:15B52 #msc:46T99 #msc:60B20
18. Delocalization and Diffusion Profile for Random Band Matrices
    2012/05/31 by Laszlo Erdos, László Erdős, Antti Knowles +2 · 8 citations
    Mathematics · Physics and Astronomy · #Delocalized electron #Diffusion #Dimension (graph theory) #Eigenvalues and eigenvectors #Hermitian matrix #Holomorphic and Operator Theory #Operator (biology) #Random Matrices and Applications #Random matrix #Resolvent #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.PR #msc:15B52 #msc:82B44 #msc:82C44
19. Fredholm Determinants and Pole-free Solutions to the Noncommutative Painlevé II Equation
    2011/01/20 by M. Bertola, M. Cafasso · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Commutative property #Formalism (music) #Fredholm determinant #Fredholm integral equation #Fredholm theory #Holomorphic and Operator Theory #Integrable system #Noncommutative geometry #Operator theory #Resolvent #math-ph #math.MP #nlin.SI
20. TOWARDS A PROOF OF AGT CONJECTURE BY METHODS OF MATRIX MODELS
    2010/11/25 by А. Миронов, A. Mironov, A. Morozov +2 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Conformal map #Conjecture #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Matrix model #Nonlinear Waves and Solitons #Physics #Pure mathematics #Resolvent #String (physics) #Theoretical physics #hep-th
21. On fractional powers of generators of fractional resolvent families
    2010/08/03 by Miao Li, Chuang Chen, Fu-Bo Li · 4 citations
    Mathematics · #Analytic function #Analytic semigroup #Bounded function #Cauchy distribution #Fractional Differential Equations Solutions #Fractional calculus #Mathematical analysis #Mathematics #Nonlinear Differential Equations Analysis #Order (exchange) #Pure mathematics #Resolvent #Semigroup #Subordination (linguistics)
22. On norm resolvent convergence of Schrödinger operators with δ′-like potentials
    2009/11/30 by Yu D Golovaty, Yu. D. Golovaty, R. O. Hryniv +1 · 2 citations
    Mathematics · Physics and Astronomy · #Boundary value problem #Convergence (economics) #Dirac operator #Limit (mathematics) #Limiting #Nonlinear Partial Differential Equations #Norm (philosophy) #Numerical methods in inverse problems #Operator (biology) #Resolvent #Resolvent formalism #Schrödinger's cat #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #msc:34L25 #msc:47E05 #msc:81Q10
23. Optimal polynomial decay of functions and operator semigroups
    2009/10/05 by Alexander Borichev, Borichev, Alexander, Yuri Tomilov +1 · 56 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Banach space #Conjecture #Hilbert space #Mathematical analysis #Mathematics #Nonlinear Differential Equations Analysis #Operator (biology) #Polynomial #Pure mathematics #Resolvent #Semigroup #Stability and Controllability of Differential Equations #Type (biology) #math.AP #math.FA #msc:34D05 #msc:46B20 #msc:47D06
24. Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
    2009/01/01 by Horst R. Thieme · 3 citations
    Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Applied mathematics #Bounded function #Differential equation #Eigenvalues and eigenvectors #Evolution and Genetic Dynamics #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Matrix (chemical analysis) #Operator (biology) #Ordinary differential equation #Physics #Population #Population model #Quantum mechanics #Resolvent #Spectral radius #Upper and lower bounds
25. Krein's resolvent formula for self-adjoint extensions of symmetric second-order elliptic differential operators
    2008/04/30 by Andrea Posilicano, Luca Raimondi · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Banach space #Boundary value problem #Bounded function #Differential Equations and Boundary Problems #Differential operator #Domain (mathematical analysis) #Elliptic operator #Finite-rank operator #Hilbert space #Mathematical analysis #Mathematics #Operator (biology) #Order (exchange) #Pure mathematics #Resolvent #Resolvent formalism #Self-adjoint operator #Semi-elliptic operator #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.MP
26. Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains
    2008/03/21 by Fritz Gesztesy, Gesztesy, Fritz, Marius Mitrea +1 · 2 citations
    Computer Science · Mathematics · #35J10 #35J25 #35P05 #35Q40 (Primary) #47A10 #47F05 (Secondary) #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Boundary (topology) #Boundary value problem #Bounded function #Dirichlet distribution #FOS: Mathematics #Geology #Lipschitz continuity #Lipschitz domain #Mathematical analysis #Mathematics #Mixed boundary condition #Numerical methods in inverse problems #Pure mathematics #Resolvent #Robin boundary condition #Schrödinger's cat #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Type (biology) #math.AP #math.SP #msc:35J10 #msc:35J25 #msc:35P05 #msc:35Q40 #msc:47A10 #msc:47F05
27. Laplacian spectra of, and random walks on, complex networks: Are scale-free architectures really important?
    2007/06/08 by A. N. Samukhin, S. N. Dorogovtsev, S. N. Dorogovt︠s︡ev +1 · 2 citations
    Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Degree (music) #Discrete mathematics #Eigenvalues and eigenvectors #Lambda #Laplace operator #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Opinion Dynamics and Social Influence #Physics #Propagator #Quantum mechanics #Random Matrices and Applications #Random walk #Resolvent #Vertex (graph theory) #cond-mat.stat-mech
28. A Simple Approach to the Global Regime of Gaussian Ensembles of Random Matrices
    2005/06/01 by L. A. Pastur, L. А. Pastur · 1 citation
    Mathematics · Physics and Astronomy · #Central limit theorem #Distribution (mathematics) #Eigenvalues and eigenvectors #Gaussian #Limit (mathematics) #Mathematical analysis #Mathematical proof #Mathematics #Measure (data warehouse) #Poincaré conjecture #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Random Matrices and Applications #Random matrix #Resolvent #Simple (philosophy) #Spectral measure #Statistics #Stochastic processes and statistical mechanics #TRACE (psycholinguistics) #Trace class
29. Zero energy asymptotics of the resolvent for a class of slowly decaying potentials
    2004/05/06 by Søren Fournais, S. Fournais, E. Skibsted +1 · 8 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Asymptotic expansion #Eigenvalues and eigenvectors #Infinity #Limiting #Mathematical analysis #Mathematical physics #Mathematics #Numerical methods in inverse problems #Physics #Pure mathematics #Quantum mechanics #Range (aeronautics) #Resolvent #Spectral Theory in Mathematical Physics #Virial theorem #Zero (linguistics) #Zero-point energy
30. On Asymptotic Expansions and Scales of Spectral Universality in Band Random Matrix Ensembles
    2002/12/01 by A. Khorunzhy, Werner Kirsch, W. Kirsch · 7 citations
    Mathematics · Physics and Astronomy · #Asymptotic expansion #Eigenvalues and eigenvectors #Gaussian #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Random Matrices and Applications #Random matrix #Resolvent #Statistical physics #Stochastic processes and statistical mechanics #Universality (dynamical systems)

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