Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2017, Volume 449, Issue 1, pp. 382 - 396

In the paper we deal with minimal closed subsets invariant with respect to set-valued semiflow. Such sets are known as supports of invariant or even ergodic...

Semigroup of Markov operators | Minimal invariant set | Topological bifurcation | Invariant measure | Dynamical system with bounded perturbations | Set-valued semiflow | MATHEMATICS, APPLIED | set | BIFURCATIONS | SPACES | MARKOV OPERATORS | Dynamical system with bounded | MATHEMATICS | ATTRACTORS | DYNAMICAL-SYSTEMS | Minimal invariant | perturbations | Stochastic processes

Semigroup of Markov operators | Minimal invariant set | Topological bifurcation | Invariant measure | Dynamical system with bounded perturbations | Set-valued semiflow | MATHEMATICS, APPLIED | set | BIFURCATIONS | SPACES | MARKOV OPERATORS | Dynamical system with bounded | MATHEMATICS | ATTRACTORS | DYNAMICAL-SYSTEMS | Minimal invariant | perturbations | Stochastic processes

Journal Article

Nonlinear Analysis: Hybrid Systems, ISSN 1751-570X, 02/2018, Volume 27, pp. 289 - 297

In this article, we propose a new computationally efficient algorithm for computing an outer convex robust positively invariant (RPI) approximation to the...

Linear difference inclusions | Switched linear systems | Minimal robust invariant set | Convex approximation | MATHEMATICS, APPLIED | DISTURBANCES | STABILITY | TUBE-BASED MPC | SYSTEMS | COMPUTATION | AUTOMATION & CONTROL SYSTEMS | Linear systems | Approximation theory | Algorithms | Research | Mathematical research | Methods

Linear difference inclusions | Switched linear systems | Minimal robust invariant set | Convex approximation | MATHEMATICS, APPLIED | DISTURBANCES | STABILITY | TUBE-BASED MPC | SYSTEMS | COMPUTATION | AUTOMATION & CONTROL SYSTEMS | Linear systems | Approximation theory | Algorithms | Research | Mathematical research | Methods

Journal Article

International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 11/2017, Volume 27, Issue 16, pp. 3236 - 3258

Summary This paper presents new results on robust positively invariant (RPI) sets for linear discrete‐time systems with additive disturbances. In particular,...

maximal and minimal RPI sets | linear systems with additive disturbances | robust positively invariant (RPI) sets | MATHEMATICS, APPLIED | MODEL-PREDICTIVE CONTROL | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Linear systems | Analysis | Discrete time systems | Invariants | Scaling factors

maximal and minimal RPI sets | linear systems with additive disturbances | robust positively invariant (RPI) sets | MATHEMATICS, APPLIED | MODEL-PREDICTIVE CONTROL | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Linear systems | Analysis | Discrete time systems | Invariants | Scaling factors

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2011, Volume 13, Issue 4, pp. 1005 - 1061

We study forking, Lascar strong types, Keisler measures and definable groups, under an assumption of NIP (not the independence property), continuing aspects of...

MATHEMATICS | MATHEMATICS, APPLIED | COMPACT-GROUPS | O-MINIMAL STRUCTURES | SETS | SUBGROUPS | STRONGLY DETERMINED TYPES | VALUED FIELDS

MATHEMATICS | MATHEMATICS, APPLIED | COMPACT-GROUPS | O-MINIMAL STRUCTURES | SETS | SUBGROUPS | STRONGLY DETERMINED TYPES | VALUED FIELDS

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 11/2016, Volume 146, pp. 100 - 119

In this paper we study topological and dynamical features of isolated invariant continua of continuous flows defined on surfaces. We show that near an isolated...

Minimal set | Regular isolating block | Unstable manifold | Conley index | Non-saddle set | Fixed point | MATHEMATICS, APPLIED | UNSTABLE ATTRACTORS | MATHEMATICS | SHAPE | DYNAMICAL-SYSTEMS | NON-SADDLE SETS | POINCARE-BENDIXSON THEOREM | MANIFOLDS | FLOWS | POINTS | Mathematics - Dynamical Systems

Minimal set | Regular isolating block | Unstable manifold | Conley index | Non-saddle set | Fixed point | MATHEMATICS, APPLIED | UNSTABLE ATTRACTORS | MATHEMATICS | SHAPE | DYNAMICAL-SYSTEMS | NON-SADDLE SETS | POINCARE-BENDIXSON THEOREM | MANIFOLDS | FLOWS | POINTS | Mathematics - Dynamical Systems

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 06/2017, Volume 23, Issue 3, pp. 572 - 611

A sufficient condition for a set Omega subset of L-1 ([0, 1](m)) to be invariant K-minimal with respect to the couple is established. Through this condition,...

Invariant K-minimal sets | Real interpolation | Taut strings | MATHEMATICS, APPLIED | THEOREM | Algorithms | Naturvetenskap | Matematisk analys | Mathematics | Natural Sciences | Matematik | Mathematical Analysis

Invariant K-minimal sets | Real interpolation | Taut strings | MATHEMATICS, APPLIED | THEOREM | Algorithms | Naturvetenskap | Matematisk analys | Mathematics | Natural Sciences | Matematik | Mathematical Analysis

Journal Article

Automatica, ISSN 0005-1098, 05/2012, Volume 48, Issue 5, pp. 964 - 969

This paper introduces the concepts of Dwell-Time invariant/contractive (DT-invariant/contractive) set, Constraint Admissible DT-invariant/contractive...

Constrained Systems | Switching systems | Stability | Minimal dwell-time | Set invariance | STABILIZATION | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Linear systems | Origins | Computation | Asymptotic properties | Switching | Invariants

Constrained Systems | Switching systems | Stability | Minimal dwell-time | Set invariance | STABILIZATION | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Linear systems | Origins | Computation | Asymptotic properties | Switching | Invariants

Journal Article

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, ISSN 1735-8787, 04/2019, Volume 13, Issue 2, pp. 486 - 505

For shift-like commuting tuples T is an element of B(H)(n) on graded Hilbert spaces H, we show that each homogeneous invariant subspace M of T has finite index...

minimal sets of generators | MATHEMATICS | weak resolutions | MATHEMATICS, APPLIED | homogeneous invariant subspaces | THEOREM | wandering subspaces | FREE RESOLUTIONS | BERGMAN

minimal sets of generators | MATHEMATICS | weak resolutions | MATHEMATICS, APPLIED | homogeneous invariant subspaces | THEOREM | wandering subspaces | FREE RESOLUTIONS | BERGMAN

Journal Article

Econometrica, ISSN 0012-9682, 11/2007, Volume 75, Issue 6, pp. 1613 - 1669

This paper studies a shape-invariant Engel curve system with endogenous total expenditure, in which the shape-invariant specification involves a common shift...

Datasets | Density estimation | Estimation bias | Demography | Total expenditures | Instrumental variables estimation | Children | Estimators | Consistent estimators | Estimation methods | nonparametric IV | Consumer demands | sieve measure of ill‐posedness | sieve minimum distance | bounded completeness | root‐n semiparametric efficiency | nonparametric convergence rate | Sieve measure of ill-posedness | Nonparametric IV | Nonparametric convergence rate | Bounded completeness | Root-n semiparametric efficiency | Sieve minimum distance | REGRESSION | IN-VARIABLES MODELS | root-n semiparametric efficiency | CONSUMER DEMAND | STATISTICS & PROBABILITY | consumer demands | RANK | RATES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | LINEAR INVERSE PROBLEMS | FAMILIES | sieve measure of ill-posedness | CONVERGENCE | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS

Datasets | Density estimation | Estimation bias | Demography | Total expenditures | Instrumental variables estimation | Children | Estimators | Consistent estimators | Estimation methods | nonparametric IV | Consumer demands | sieve measure of ill‐posedness | sieve minimum distance | bounded completeness | root‐n semiparametric efficiency | nonparametric convergence rate | Sieve measure of ill-posedness | Nonparametric IV | Nonparametric convergence rate | Bounded completeness | Root-n semiparametric efficiency | Sieve minimum distance | REGRESSION | IN-VARIABLES MODELS | root-n semiparametric efficiency | CONSUMER DEMAND | STATISTICS & PROBABILITY | consumer demands | RANK | RATES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | LINEAR INVERSE PROBLEMS | FAMILIES | sieve measure of ill-posedness | CONVERGENCE | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS

Journal Article

SIAM Journal on Scientific Computing, ISSN 1064-8275, 05/2003, Volume 24, Issue 6, pp. 1839 - 1863

The behaviors of trajectories of nonlinear dynamical systems are notoriously hard to characterize and predict. Rather than characterizing dynamical behavior at...

Almost-cycle | Graph partitioning | Almost-invariant set | Minimal cut | Maximal cut | Laplacian matrix | Fiedler vector | Macrostructure | MATHEMATICS, APPLIED | almost-invariant set | minimal cut | macrostructure | BOUNDS | EIGENVECTORS | maximal cut | ALGORITHM | almost-cycle | graph partitioning

Almost-cycle | Graph partitioning | Almost-invariant set | Minimal cut | Maximal cut | Laplacian matrix | Fiedler vector | Macrostructure | MATHEMATICS, APPLIED | almost-invariant set | minimal cut | macrostructure | BOUNDS | EIGENVECTORS | maximal cut | ALGORITHM | almost-cycle | graph partitioning

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 2018, Volume 146, Issue 11, pp. 4549 - 4562

A subset {g(1), . . . ,g(d)} of a finite group G invariably generates G if {g(1)(1)(x), . . .,g(d)(xd)} generates G for every choice of x(i )is an element of...

PROJECTIVE-REPRESENTATIONS | MATHEMATICS | MATHEMATICS, APPLIED | MINIMAL DEGREES | DERANGEMENTS | ORDERS | GENERATION | 1ST COHOMOLOGY GROUP | CHEVALLEY-GROUPS

PROJECTIVE-REPRESENTATIONS | MATHEMATICS | MATHEMATICS, APPLIED | MINIMAL DEGREES | DERANGEMENTS | ORDERS | GENERATION | 1ST COHOMOLOGY GROUP | CHEVALLEY-GROUPS

Journal Article

The Journal of Symbolic Logic, ISSN 0022-4812, 12/2014, Volume 79, Issue 4, pp. 1025 - 1045

This paper has two parts. In the first one, we prove that an invariant dp-minimal type is either finitely satisfiable or definable. We also prove that a...

Dp-rank | Dp-minimal | NIP | Model theory | dp-rank | MATHEMATICS | model theory | dp-minimal | FORKING | LOGIC | Theorems (Mathematics) | Analysis | Mathematics - Logic | Logic | Mathematics

Dp-rank | Dp-minimal | NIP | Model theory | dp-rank | MATHEMATICS | model theory | dp-minimal | FORKING | LOGIC | Theorems (Mathematics) | Analysis | Mathematics - Logic | Logic | Mathematics

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 07/2010, Volume 73, Issue 1, pp. 221 - 227

In 1981, Dale Alspach modified the baker's transform to produce the first example of a nonexpansive mapping T on a weakly compact convex subset C of a Banach...

Weakly compact | Minimal invariant sets | Convex set | Fixed point free | Baker's transform | Strongly mixing | Alspach's mapping | Nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED

Weakly compact | Minimal invariant sets | Convex set | Fixed point free | Baker's transform | Strongly mixing | Alspach's mapping | Nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Annals of Global Analysis and Geometry, ISSN 0232-704X, 6/2018, Volume 53, Issue 4, pp. 521 - 541

We classify all singular minimal surfaces in Euclidean space that are invariant by a uniparametric group of translations and rotations.

Geometry | 53A10 | Mathematical Physics | Analysis | 53C44 | Cylindrical surface | Global Analysis and Analysis on Manifolds | Mathematics | Differential Geometry | Singular minimal surface | Rotational surface | EXISTENCE | MATHEMATICS | CATENARY | DIMENSIONAL ANALOG | Euclidean geometry | Euclidean space | Minimal surfaces | Translations | Invariants

Geometry | 53A10 | Mathematical Physics | Analysis | 53C44 | Cylindrical surface | Global Analysis and Analysis on Manifolds | Mathematics | Differential Geometry | Singular minimal surface | Rotational surface | EXISTENCE | MATHEMATICS | CATENARY | DIMENSIONAL ANALOG | Euclidean geometry | Euclidean space | Minimal surfaces | Translations | Invariants

Journal Article

15.
Full Text
Minimal generator sets for finitely generated shift-invariant subspaces of L 2 ( R n )

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 313, Issue 1, pp. 342 - 352

Let S be a shift-invariant subspace of L 2 ( R n ) defined by N generators and suppose that its length L, the minimal number of generators of S, is smaller...

Shift-invariant space | Principal shift-invariant space | Minimal generator set | Finitely generated shift-invariant space | L(R(D)) | MATHEMATICS | finitely generated shift-invariant space | MATHEMATICS, APPLIED | NUMBER | FRAMES | principal shift-invariant space | SPACES | LINEAR INDEPENDENCE | WAVELET DIMENSION FUNCTION | shift-invariant space | minimal generator set | Electric generators | Universities and colleges

Shift-invariant space | Principal shift-invariant space | Minimal generator set | Finitely generated shift-invariant space | L(R(D)) | MATHEMATICS | finitely generated shift-invariant space | MATHEMATICS, APPLIED | NUMBER | FRAMES | principal shift-invariant space | SPACES | LINEAR INDEPENDENCE | WAVELET DIMENSION FUNCTION | shift-invariant space | minimal generator set | Electric generators | Universities and colleges

Journal Article

IEEE Transactions on Automatic Control, ISSN 0018-9286, 02/2010, Volume 55, Issue 2, pp. 440 - 446

An analytic approximation of the maximal invariant ellipsoid for a discrete-time linear system with bounded controls is derived. The approximation is expressed...

maximal invariant ellipsoid | minimal energy control with guaranteed convergence rate (MECGCR) | invariant set | Control systems | Ellipsoids | Read only memory | Delay | Actuator saturation | Convergence | Cyclic redundancy check | Feedback | Differential equations | Polynomials | Size control | Minimal energy control with guaranteed convergence rate (MECGCR) | Maximal invariant ellipsoid | Invariant set | LINEAR-SYSTEMS | STABILIZATION | SUBJECT | MECGCR | AUTOMATION & CONTROL SYSTEMS | minimal energy control with guaranteed convergence rate | ENGINEERING, ELECTRICAL & ELECTRONIC | Actuators | Design and construction | Chaos theory | Analysis | Feedback control systems | Studies | Algorithms | Linear systems | Approximation | Mathematical analysis | Tradeoffs | Control equipment | Invariants

maximal invariant ellipsoid | minimal energy control with guaranteed convergence rate (MECGCR) | invariant set | Control systems | Ellipsoids | Read only memory | Delay | Actuator saturation | Convergence | Cyclic redundancy check | Feedback | Differential equations | Polynomials | Size control | Minimal energy control with guaranteed convergence rate (MECGCR) | Maximal invariant ellipsoid | Invariant set | LINEAR-SYSTEMS | STABILIZATION | SUBJECT | MECGCR | AUTOMATION & CONTROL SYSTEMS | minimal energy control with guaranteed convergence rate | ENGINEERING, ELECTRICAL & ELECTRONIC | Actuators | Design and construction | Chaos theory | Analysis | Feedback control systems | Studies | Algorithms | Linear systems | Approximation | Mathematical analysis | Tradeoffs | Control equipment | Invariants

Journal Article

Journal of Complexity, ISSN 0885-064X, 12/2016, Volume 37, pp. 76 - 109

We study expected Riesz s-energies and linear statistics of some determinantal processes on the sphere Sd. In particular, we compute the expected Riesz and...

Determinantal processes | Riesz energy | Discrepancy | Logarithmic energy | Spherical harmonics | DISTRIBUTING POINTS | MATHEMATICS | MATHEMATICS, APPLIED | MINIMAL DISCRETE ENERGY | HECKE OPERATORS | ZEROS | Funcions hipergeomètriques | Teoria de nombres | Hypergeometric functions | Number theory

Determinantal processes | Riesz energy | Discrepancy | Logarithmic energy | Spherical harmonics | DISTRIBUTING POINTS | MATHEMATICS | MATHEMATICS, APPLIED | MINIMAL DISCRETE ENERGY | HECKE OPERATORS | ZEROS | Funcions hipergeomètriques | Teoria de nombres | Hypergeometric functions | Number theory

Journal Article

Networks, ISSN 0028-3045, 09/2017, Volume 70, Issue 2, pp. 116 - 131

Ring structures in molecules belong to the most important substructures for many applications in Computational Chemistry. One typical task is to find an...

relevant cycles | minimum cycle basis | chemical graphs | efficient algorithms | essential cycles | invariants | BASES | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RING PERCEPTION | FASTER | ALGORITHMS | Algorithms | Substructures | Computational chemistry | Well construction | Ring structures | Molecular structure | Computation | Invariants

relevant cycles | minimum cycle basis | chemical graphs | efficient algorithms | essential cycles | invariants | BASES | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RING PERCEPTION | FASTER | ALGORITHMS | Algorithms | Substructures | Computational chemistry | Well construction | Ring structures | Molecular structure | Computation | Invariants

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 12/2006, Volume 16, Issue 4, pp. 703 - 720

In this article we study sets in the (2n + 1)-dimensional Heisenberg group ℍ n which are critical points, under a volume constraint, of the sub-Riemannian...

Sub-Riemannian perimeter | 53C17 | Mathematics | Delaunay hypersurfaces | Abstract Harmonic Analysis | stationary sets | Fourier Analysis | Convex and Discrete Geometry | mean curvature | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | 49Q20 | MATHEMATICS | ISOPERIMETRIC INEQUALITY | MINIMAL-SURFACES | SPACES | SETS | sub-Riemannian perimeter

Sub-Riemannian perimeter | 53C17 | Mathematics | Delaunay hypersurfaces | Abstract Harmonic Analysis | stationary sets | Fourier Analysis | Convex and Discrete Geometry | mean curvature | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | 49Q20 | MATHEMATICS | ISOPERIMETRIC INEQUALITY | MINIMAL-SURFACES | SPACES | SETS | sub-Riemannian perimeter

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 04/2014, Volume 27, Issue 2, pp. 437 - 477

. With some restrictions on p-types for G. The main step is an equivalence between Moy-Prasad theory and the theory of graded Lie algebras, whose GIT was...

Integers | Isotropy | Homomorphisms | Algebra | Mathematical theorems | Quotients | Center of gravity | Adjoints | Mathematical vectors | Automorphisms | P-ADIC GROUPS | SUPERCUSPIDAL REPRESENTATIONS | FORMAL DEGREES | MATHEMATICS | REDUCTIVE GROUPS | MINIMAL K-TYPES

Integers | Isotropy | Homomorphisms | Algebra | Mathematical theorems | Quotients | Center of gravity | Adjoints | Mathematical vectors | Automorphisms | P-ADIC GROUPS | SUPERCUSPIDAL REPRESENTATIONS | FORMAL DEGREES | MATHEMATICS | REDUCTIVE GROUPS | MINIMAL K-TYPES

Journal Article

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