Annales de l'Institut Henri Poincaré. Analyse non linéaire, ISSN 0294-1449, 2019, Volume 36, Issue 4, pp. 1035 - 1079

We study the Γ-convergence of sequences of free-discontinuity functionals depending on vector-valued functions u which can be discontinuous across hypersurfaces whose shape and location are not known a priori...

Free-discontinuity problems | Γ-convergence | Homogenisation | REINFORCED BRITTLE MATERIALS | EXISTENCE | MATHEMATICS, APPLIED | LIMIT | LINEARIZED ELASTICITY | HOMOGENIZATION | MICROFRACTURES | DAMAGE | FRACTURE | GROWTH | LOWER SEMICONTINUITY | Gamma-convergence

Free-discontinuity problems | Γ-convergence | Homogenisation | REINFORCED BRITTLE MATERIALS | EXISTENCE | MATHEMATICS, APPLIED | LIMIT | LINEARIZED ELASTICITY | HOMOGENIZATION | MICROFRACTURES | DAMAGE | FRACTURE | GROWTH | LOWER SEMICONTINUITY | Gamma-convergence

Journal Article

IEEE Signal Processing Letters, ISSN 1070-9908, 06/2015, Volume 22, Issue 6, pp. 709 - 712

In this letter, we propose an alternative proof for the uniqueness of Maronna's M-estimator of scatter for N vector observations y 1 , ..., y N ∈ R m under a...

Maximum likelihood estimation | M -estimators | Symmetric matrices | Sociology | Tyler's estimator | Robustness | Vectors | Covariance matrix estimation | Equations | Convergence | M-estimators | EXISTENCE | MULTIVARIATE LOCATION | ALGORITHM ANALYSIS | ENGINEERING, ELECTRICAL & ELECTRONIC | Mathematical analysis | Uniqueness | Proving | Signal processing | Vectors (mathematics) | Scatter | Density | Statistics - Applications | Other Statistics | Signal and Image Processing | Applications | Statistics | Computer Science

Maximum likelihood estimation | M -estimators | Symmetric matrices | Sociology | Tyler's estimator | Robustness | Vectors | Covariance matrix estimation | Equations | Convergence | M-estimators | EXISTENCE | MULTIVARIATE LOCATION | ALGORITHM ANALYSIS | ENGINEERING, ELECTRICAL & ELECTRONIC | Mathematical analysis | Uniqueness | Proving | Signal processing | Vectors (mathematics) | Scatter | Density | Statistics - Applications | Other Statistics | Signal and Image Processing | Applications | Statistics | Computer Science

Journal Article

Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 2018, Volume 40, Issue 6, pp. 1510 - 1544

.... It is shown that for uniquely ergodic limit systems, the latter measures behave continuously with respect to the Chabauty-Fell convergence of hulls...

28A33 | 22D40 | 2010 Mathematics Subject Classification | 46L60 (Secondary) | 52C23 (Primary) | EXISTENCE | MATHEMATICS, APPLIED | topological dynamics | PATTERN-EQUIVARIANT FUNCTIONS | DIMENSIONAL QUASI-CRYSTALS | SINGULAR CONTINUOUS-SPECTRUM | Hamiltonian dynamics | CLOSED SUBGROUPS | SPACE | MATHEMATICS | CONTINUITY | PURE POINT DIFFRACTION | ERGODIC THEOREM | operator algebras | SETS | group actions | Dynamical systems | Hulls | Convergence

28A33 | 22D40 | 2010 Mathematics Subject Classification | 46L60 (Secondary) | 52C23 (Primary) | EXISTENCE | MATHEMATICS, APPLIED | topological dynamics | PATTERN-EQUIVARIANT FUNCTIONS | DIMENSIONAL QUASI-CRYSTALS | SINGULAR CONTINUOUS-SPECTRUM | Hamiltonian dynamics | CLOSED SUBGROUPS | SPACE | MATHEMATICS | CONTINUITY | PURE POINT DIFFRACTION | ERGODIC THEOREM | operator algebras | SETS | group actions | Dynamical systems | Hulls | Convergence

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 08/2017, Volume 159, pp. 145 - 180

The convergence to equilibrium of mass action reaction–diffusion systems arising from networks of chemical reactions is studied...

Chemical reaction–diffusion systems | Detailed balance condition | Entropy method | EXISTENCE | MATHEMATICS, APPLIED | DECAY | VOLUME | LIMIT | STEADY-STATE APPROXIMATION | MATHEMATICS | ENTROPY METHODS | Chemical reaction-diffusion systems | MASS | ASYMPTOTICS | GLOBAL CLASSICAL-SOLUTIONS | TREND | Enzymes | Environmental law | Convergence (Social sciences)

Chemical reaction–diffusion systems | Detailed balance condition | Entropy method | EXISTENCE | MATHEMATICS, APPLIED | DECAY | VOLUME | LIMIT | STEADY-STATE APPROXIMATION | MATHEMATICS | ENTROPY METHODS | Chemical reaction-diffusion systems | MASS | ASYMPTOTICS | GLOBAL CLASSICAL-SOLUTIONS | TREND | Enzymes | Environmental law | Convergence (Social sciences)

Journal Article

Numerical Algorithms, ISSN 1017-1398, 9/2017, Volume 76, Issue 1, pp. 259 - 282

Our aim in this paper is to study strong convergence results for L-Lipschitz continuous monotone variational inequality but L is unknown using a combination of subgradient extra-gradient method...

Strong convergence | Numeric Computing | Hilbert spaces | Theory of Computation | Subgradient extragradient method | Algorithms | Algebra | Numerical Analysis | Viscosity method | Computer Science | 47H09 | 47J05 | 47J25 | 47H06 | Variational inequalities | EXISTENCE | HILBERT-SPACES | MATHEMATICS, APPLIED | HAMMERSTEIN TYPE | HYBRID METHOD | NONLINEAR INTEGRAL-EQUATIONS | BANACH-SPACES | GRADIENT-METHOD | ITERATIVE APPROXIMATION | OPERATORS

Strong convergence | Numeric Computing | Hilbert spaces | Theory of Computation | Subgradient extragradient method | Algorithms | Algebra | Numerical Analysis | Viscosity method | Computer Science | 47H09 | 47J05 | 47J25 | 47H06 | Variational inequalities | EXISTENCE | HILBERT-SPACES | MATHEMATICS, APPLIED | HAMMERSTEIN TYPE | HYBRID METHOD | NONLINEAR INTEGRAL-EQUATIONS | BANACH-SPACES | GRADIENT-METHOD | ITERATIVE APPROXIMATION | OPERATORS

Journal Article

Journal of Artificial Intelligence Research, ISSN 1076-9757, 12/2016, Volume 57, pp. 573 - 591

In multiagent systems, social choice functions can help aggregate the distinct preferences that agents have over alternatives, enabling them to settle on a...

EXISTENCE | PLURALITY | VOTING PROCEDURES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | EQUILIBRIUM

EXISTENCE | PLURALITY | VOTING PROCEDURES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | EQUILIBRIUM

Journal Article

Stata Journal, ISSN 1536-867X, 2011, Volume 11, Issue 2, pp. 207 - 212

... that the algorithm implemented in Stata's poisson command does not converge. There are two main reasons for this lack of convergence. First, as noted by Santos Silva...

Complete separation | Perfect prediction | References | Collinearity | Ppml | St0225 | Poisson regression | Numerical problems | st0225 | EXISTENCE | LOGISTIC-REGRESSION MODELS | numerical problems | perfect prediction | complete separation | LOG | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | ppml | collinearity | Convergence (Mathematics) | Research | Poisson distribution | Mathematical research

Complete separation | Perfect prediction | References | Collinearity | Ppml | St0225 | Poisson regression | Numerical problems | st0225 | EXISTENCE | LOGISTIC-REGRESSION MODELS | numerical problems | perfect prediction | complete separation | LOG | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | ppml | collinearity | Convergence (Mathematics) | Research | Poisson distribution | Mathematical research

Journal Article

Mathematische Annalen, ISSN 0025-5831, 10/2016, Volume 366, Issue 1, pp. 167 - 217

In this paper, we study the convergence of Yang–Mills–Higgs (YMH) fields defined on fiber bundles over Riemann surfaces, where the fiber is a compact symplectic...

Mathematics, general | Mathematics | 58E15 | 35J50 | 53C80 | EXISTENCE | MATHEMATICS | HARMONIC MAPS | REGULARITY | EQUATIONS | MODULI SPACE | CONNECTIONS | COMPACTNESS | COMPACTIFICATION

Mathematics, general | Mathematics | 58E15 | 35J50 | 53C80 | EXISTENCE | MATHEMATICS | HARMONIC MAPS | REGULARITY | EQUATIONS | MODULI SPACE | CONNECTIONS | COMPACTNESS | COMPACTIFICATION

Journal Article

IEEE transactions on automatic control, ISSN 1558-2523, 2020, Volume 65, Issue 2, pp. 507 - 521

...) convergence rate, can the same convergence rate be provided by an event-triggered controller...

event-triggered control | nonlinear systems | stabilization | Control Lyapunov function (CLF) | Tools | Nonlinear control systems | Stability analysis | Closed loop systems | Lyapunov methods | Convergence | EXISTENCE | DESIGN | ZENO | FORMULA | ENGINEERING, ELECTRICAL & ELECTRONIC | SAMPLED-DATA SYSTEMS | NONLINEAR-SYSTEMS | CONTROLLERS | FRAMEWORK | ROBUST STABILIZATION | FINITE-TIME STABILITY | AUTOMATION & CONTROL SYSTEMS

event-triggered control | nonlinear systems | stabilization | Control Lyapunov function (CLF) | Tools | Nonlinear control systems | Stability analysis | Closed loop systems | Lyapunov methods | Convergence | EXISTENCE | DESIGN | ZENO | FORMULA | ENGINEERING, ELECTRICAL & ELECTRONIC | SAMPLED-DATA SYSTEMS | NONLINEAR-SYSTEMS | CONTROLLERS | FRAMEWORK | ROBUST STABILIZATION | FINITE-TIME STABILITY | AUTOMATION & CONTROL SYSTEMS

Journal Article

Journal of dynamics and differential equations, ISSN 1572-9222, 2018, Volume 31, Issue 3, pp. 1591 - 1615

...–Planck equations with rough coefficients. In particular, we prove the convergence of probability solutions under a Lyapunov condition in terms of the Markov semigroup associated to the stationary one...

60H10 | Fokker–Planck equation | 60J60 | Mathematics | Secondary 35Q84 | 34F05 | Convergence | Ordinary Differential Equations | Primary 37C40 | Probability solutions | 37C75 | Applications of Mathematics | Partial Differential Equations | EXISTENCE | MATHEMATICS | WEAK PARABOLIC EQUATIONS | MATHEMATICS, APPLIED | INVARIANT-MEASURES | Fokker-Planck equation | UNIQUENESS

60H10 | Fokker–Planck equation | 60J60 | Mathematics | Secondary 35Q84 | 34F05 | Convergence | Ordinary Differential Equations | Primary 37C40 | Probability solutions | 37C75 | Applications of Mathematics | Partial Differential Equations | EXISTENCE | MATHEMATICS | WEAK PARABOLIC EQUATIONS | MATHEMATICS, APPLIED | INVARIANT-MEASURES | Fokker-Planck equation | UNIQUENESS

Journal Article

11.
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Strong convergence of the Euler–Maruyama approximation for a class of Lévy-driven SDEs

Stochastic processes and their applications, ISSN 0304-4149, 2019, Volume 129, Issue 8, pp. 2654 - 2680

.... The convergence rate depends on the regularity of b and the behaviour of the Lévy measure at the origin...

Euler–Maruyama approximation | Strong convergence | Stochastic differential equation | EXISTENCE | Euler-Maruyama approximation | STATISTICS & PROBABILITY | Differential equations

Euler–Maruyama approximation | Strong convergence | Stochastic differential equation | EXISTENCE | Euler-Maruyama approximation | STATISTICS & PROBABILITY | Differential equations

Journal Article

Probability Theory and Related Fields, ISSN 0178-8051, 02/2016, Volume 164, Issue 1-2, pp. 243 - 283

For general, almost surely absorbed Markov processes, we obtain necessary and sufficient conditions for exponential convergence to a unique quasi-stationary distribution in the total variation norm...

Uniform mixing property | Process with absorption | Quasi-stationary distribution | Q-process | Neutron transport process | Dobrushin’s ergodicity coefficient | Birth and death process | EXISTENCE | INFINITY | STATISTICS & PROBABILITY | TIME | Dobrushin's ergodicity coefficient | Markov processes | Analysis | Probability | Mathematics

Uniform mixing property | Process with absorption | Quasi-stationary distribution | Q-process | Neutron transport process | Dobrushin’s ergodicity coefficient | Birth and death process | EXISTENCE | INFINITY | STATISTICS & PROBABILITY | TIME | Dobrushin's ergodicity coefficient | Markov processes | Analysis | Probability | Mathematics

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 06/2016, Volume 36, Issue 6, pp. 3107 - 3123

... > 1, we obtain a rate of convergence of rho(epsilon) in L-infinity(0, T; H-1(R)); for 1 < alpha <= 3/2 the solution rho...

Porous medium equation | Large Mach number | Compressible Navier-Stokes equations | EXISTENCE | VACUUM | MATHEMATICS, APPLIED | porous medium equation | 2-VELOCITY HYDRODYNAMICS | INCOMPRESSIBLE LIMIT | DENSITY-DEPENDENT VISCOSITY | FLOW | MATHEMATICS | GAS-DYNAMICS | FLUID | SYSTEMS | GLOBAL WEAK SOLUTIONS | large Mach number

Porous medium equation | Large Mach number | Compressible Navier-Stokes equations | EXISTENCE | VACUUM | MATHEMATICS, APPLIED | porous medium equation | 2-VELOCITY HYDRODYNAMICS | INCOMPRESSIBLE LIMIT | DENSITY-DEPENDENT VISCOSITY | FLOW | MATHEMATICS | GAS-DYNAMICS | FLUID | SYSTEMS | GLOBAL WEAK SOLUTIONS | large Mach number

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 03/2018, Volume 75, Issue 5, pp. 1719 - 1738

.... The resulting integrator is formally of second-order in time, and we prove unconditional convergence towards a weak solution of LLG...

Spin-transfer torque | Finite elements | Micromagnetism | Landau–Lifschitz–Gilbert equation | Implicit–explicit time-integration | SPIN-POLARIZED TRANSPORT | EXISTENCE | MATHEMATICS, APPLIED | LIFSHITZ-GILBERT EQUATION | Implicit-explicit time-integration | FEM INTEGRATOR | Landau-Lifschitz-Gilbert equation | GLOBAL WEAK SOLUTIONS | MAGNETOSTRICTION

Spin-transfer torque | Finite elements | Micromagnetism | Landau–Lifschitz–Gilbert equation | Implicit–explicit time-integration | SPIN-POLARIZED TRANSPORT | EXISTENCE | MATHEMATICS, APPLIED | LIFSHITZ-GILBERT EQUATION | Implicit-explicit time-integration | FEM INTEGRATOR | Landau-Lifschitz-Gilbert equation | GLOBAL WEAK SOLUTIONS | MAGNETOSTRICTION

Journal Article

IEEE transactions on power systems, ISSN 0885-8950, 2018, Volume 33, Issue 5, pp. 5770 - 5777

.... This paper presents sufficient conditions for the quadratic convergence of the Newton's method in this type of grids...

DC grids | Microgrids | Newton–Raphson | Master-slave | decoupled load flow | Mathematical model | Newton method | Voltage control | Convergence | Load flow | microgrids | load flow | Newton-Raphson | EXISTENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Fractals | Nonlinear programming | Electric power grids | Power flow

DC grids | Microgrids | Newton–Raphson | Master-slave | decoupled load flow | Mathematical model | Newton method | Voltage control | Convergence | Load flow | microgrids | load flow | Newton-Raphson | EXISTENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Fractals | Nonlinear programming | Electric power grids | Power flow

Journal Article

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 06/2015, Volume 216, Issue 3, pp. 813 - 879

.... In this paper we propose an approximation (in the sense of I"-convergence) by functionals involving only volume integrals, which makes...

EXISTENCE | FREE-DISCONTINUITY PROBLEMS | ENERGY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SBV | PIECEWISE AFFINE HOMEOMORPHISMS | FINITE-ELEMENT APPROXIMATION | VARIATIONAL-PROBLEMS | SMOOTH | BRITTLE-FRACTURE | COMPACTNESS THEOREM | Fracture mechanics | Approximation | Integrals | Energy conservation | Mathematical analysis | Elasticity | Nonlinearity | Fracture toughness

EXISTENCE | FREE-DISCONTINUITY PROBLEMS | ENERGY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SBV | PIECEWISE AFFINE HOMEOMORPHISMS | FINITE-ELEMENT APPROXIMATION | VARIATIONAL-PROBLEMS | SMOOTH | BRITTLE-FRACTURE | COMPACTNESS THEOREM | Fracture mechanics | Approximation | Integrals | Energy conservation | Mathematical analysis | Elasticity | Nonlinearity | Fracture toughness

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 12/2018, Volume 57, Issue 6, pp. 1 - 48

.... In contrast to the Camassa–Holm equations without any nonlocal effect, much less has been known on the large time behavior and convergences of solutions...

Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35K55 | 35G25 | SPACE | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | WELL-POSEDNESS | VORTICITY EQUATIONS | BLOW-UP | MODEL | WEAK SOLUTIONS | DOMAINS | ASYMPTOTIC-BEHAVIOR

Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35K55 | 35G25 | SPACE | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | WELL-POSEDNESS | VORTICITY EQUATIONS | BLOW-UP | MODEL | WEAK SOLUTIONS | DOMAINS | ASYMPTOTIC-BEHAVIOR

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 11/2015, Volume 111, Issue 5, pp. 1071 - 1129

The aim of this paper is to discuss convergence of pointed metric measure spaces in the absence of any compactness condition...

EXISTENCE | MATHEMATICS | TANGENT-CONES | RIEMANNIAN-MANIFOLDS | UNIQUENESS | GEOMETRY | Equivalence | Mathematical analysis | Heat transmission | Spectra | Formulas (mathematics) | Curvature | Heat transfer | Convergence

EXISTENCE | MATHEMATICS | TANGENT-CONES | RIEMANNIAN-MANIFOLDS | UNIQUENESS | GEOMETRY | Equivalence | Mathematical analysis | Heat transmission | Spectra | Formulas (mathematics) | Curvature | Heat transfer | Convergence

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Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass

Communications in Partial Differential Equations, ISSN 0360-5302, 07/2019, Volume 44, Issue 7, pp. 545 - 572

This paper is concerned with the uniqueness of solutions to the following nonlocal semi-linear elliptic equation where Ω is a bounded domain in and are...

Keller-Segel system; mean field equation; subcritical-mass; uniqueness | EXISTENCE | STATISTICAL-MECHANICS | MATHEMATICS, APPLIED | mean field equation | INEQUALITY | MEAN-FIELD EQUATIONS | subcritical-mass | CHEMOTAXIS MODEL | MATHEMATICS | Keller-Segel system | SYMMETRY | uniqueness | BLOW-UP | Asymptotic properties | Graphical user interface | Uniqueness | Boundary conditions | Dirichlet problem | Subcritical mass | Formulas (mathematics) | Convergence

Keller-Segel system; mean field equation; subcritical-mass; uniqueness | EXISTENCE | STATISTICAL-MECHANICS | MATHEMATICS, APPLIED | mean field equation | INEQUALITY | MEAN-FIELD EQUATIONS | subcritical-mass | CHEMOTAXIS MODEL | MATHEMATICS | Keller-Segel system | SYMMETRY | uniqueness | BLOW-UP | Asymptotic properties | Graphical user interface | Uniqueness | Boundary conditions | Dirichlet problem | Subcritical mass | Formulas (mathematics) | Convergence

Journal Article

SIAM Journal on Control and Optimization, ISSN 0363-0129, 2014, Volume 52, Issue 5, pp. 2831 - 2856

It is shown that under a weak observability assumption, the nonlinear Luenberger observer exists and ensures an exponential convergence rate of the estimate towards the state of the system...

Nonlinear observers | Tunable observers | Luenberger observers | Convergence speed | EXISTENCE | MATHEMATICS, APPLIED | DESIGN | OUTPUT-FEEDBACK | SYSTEMS | convergence speed | nonlinear observers | tunable observers | AUTOMATION & CONTROL SYSTEMS | LINEARIZABLE ERROR DYNAMICS | Engineering Sciences | Automatic

Nonlinear observers | Tunable observers | Luenberger observers | Convergence speed | EXISTENCE | MATHEMATICS, APPLIED | DESIGN | OUTPUT-FEEDBACK | SYSTEMS | convergence speed | nonlinear observers | tunable observers | AUTOMATION & CONTROL SYSTEMS | LINEARIZABLE ERROR DYNAMICS | Engineering Sciences | Automatic

Journal Article