2013, ISBN 0415871255, xix, 288

This introductory text describes the principles of invariant measurement, how invariant measurement can be achieved with Rasch models, and how to use invariant...

Rasch models | Social sciences | Psychology | methods | Psychometrics | Statistical methods | Models, Statistical | Invariant measures | Assessment & Testing | Measurement and Assessment | Medical Statistics | Testing

Rasch models | Social sciences | Psychology | methods | Psychometrics | Statistical methods | Models, Statistical | Invariant measures | Assessment & Testing | Measurement and Assessment | Medical Statistics | Testing

Book

2014, Translations of mathematical monographs, ISBN 9781470410742, Volume 244, ix, 285

Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Heights | Arakelov theory | Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Height functions; Green functions; invariant measures | Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic varieties and schemes; Arakelov theory; heights | Geometry, Algebraic

Book

Bulletin of the Iranian Mathematical Society, ISSN 1017-060X, 4/2019, Volume 45, Issue 2, pp. 515 - 525

For a locally compact group G and two closed subgroups H, K of G let N be the normalizer group of K in G and $$K{\backslash }G /H$$ K \ G / H be the double...

Rho-function | Doble coset space | N -invariant measure | N -relatively invariant measure | Primary 47A55 | Secondary 39B52 | Mathematics, general | Mathematics | MATHEMATICS | N-invariant measure | N-relatively invariant measure

Rho-function | Doble coset space | N -invariant measure | N -relatively invariant measure | Primary 47A55 | Secondary 39B52 | Mathematics, general | Mathematics | MATHEMATICS | N-invariant measure | N-relatively invariant measure

Journal Article

2013, Graduate studies in mathematics, ISBN 0821898531, Volume 148., ix, 277

Book

Nonlinearity, ISSN 0951-7715, 07/2018, Volume 31, Issue 9, pp. 4006 - 4030

Journal Article

2012, CRM monograph series, ISBN 0821875825, Volume 30, vii, 140

Book

Journal of Differential Equations, ISSN 0022-0396, 12/2019, Volume 268, Issue 1, pp. 1 - 59

This paper is concerned with the asymptotic behavior of the solutions of the fractional reaction-diffusion equations with polynomial drift terms of arbitrary...

Nonlinear noise | Unbounded domain | Invariant measure | Stochastic reaction-diffusion equation | Mean random attractor | EXISTENCE | MATHEMATICS | INVARIANT-MEASURES | RANDOM ATTRACTORS | PULLBACK ATTRACTORS | REGULARITY | ASYMPTOTIC-BEHAVIOR | Distribution (Probability theory)

Nonlinear noise | Unbounded domain | Invariant measure | Stochastic reaction-diffusion equation | Mean random attractor | EXISTENCE | MATHEMATICS | INVARIANT-MEASURES | RANDOM ATTRACTORS | PULLBACK ATTRACTORS | REGULARITY | ASYMPTOTIC-BEHAVIOR | Distribution (Probability theory)

Journal Article

Stochastic Processes and their Applications, ISSN 0304-4149, 05/2020, Volume 130, Issue 5, pp. 2851 - 2885

We investigate a piecewise-deterministic Markov process with a Polish state space, whose deterministic behaviour between random jumps is governed by a finite...

Markov process | Asymptotic stability | Exponential ergodicity | The strong law of large numbers | Gene expression | Invariant measure | INVARIANT-MEASURES | STABILITY | CONVERGENCE | STATISTICS & PROBABILITY

Markov process | Asymptotic stability | Exponential ergodicity | The strong law of large numbers | Gene expression | Invariant measure | INVARIANT-MEASURES | STABILITY | CONVERGENCE | STATISTICS & PROBABILITY

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2019, Volume 470, Issue 1, pp. 159 - 168

We consider the non-autonomous dynamical system {τn}, where τn is a continuous map X→X, and X is a compact metric space. We assume that {τn} converges...

Absolutely continuous invariant measures | Non-autonomous systems | MATHEMATICS | MATHEMATICS, APPLIED

Absolutely continuous invariant measures | Non-autonomous systems | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 05/2019, Volume 266, Issue 11, pp. 7205 - 7229

We first prove the existence and regularity of the trajectory attractor for a three-dimensional system of globally modified Navier–Stokes equations. Then we...

Globally modified Navier–Stokes equations | Asymptotic regularity | Trajectory statistical solution | Invariant measure | Trajectory attractor | Globally modified Navier-Stokes equations | BEHAVIOR | 3-DIMENSIONAL SYSTEM | MATHEMATICS | INVARIANT-MEASURES | PULLBACK ATTRACTORS | V-ATTRACTORS | WEAK SOLUTIONS | DISSIPATIVE DYNAMICAL-SYSTEMS

Globally modified Navier–Stokes equations | Asymptotic regularity | Trajectory statistical solution | Invariant measure | Trajectory attractor | Globally modified Navier-Stokes equations | BEHAVIOR | 3-DIMENSIONAL SYSTEM | MATHEMATICS | INVARIANT-MEASURES | PULLBACK ATTRACTORS | V-ATTRACTORS | WEAK SOLUTIONS | DISSIPATIVE DYNAMICAL-SYSTEMS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2018, Volume 458, Issue 1, pp. 508 - 520

It is well known that for a P-homeomorphism f of the circle S1=R/Z with irrational rotation number ρf the Denjoy's inequality |logDfqn|≤V holds, where V is...

Piecewise-linear circle homeomorphism | Rotation number | Invariant measure | Break point | DIFFEOMORPHISMS | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT-MEASURES | homeomorphism | SINGULARITIES | RIGIDITY | Piecewise-linear circle | Equality

Piecewise-linear circle homeomorphism | Rotation number | Invariant measure | Break point | DIFFEOMORPHISMS | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT-MEASURES | homeomorphism | SINGULARITIES | RIGIDITY | Piecewise-linear circle | Equality

Journal Article

Bulletin of the London Mathematical Society, ISSN 0024-6093, 04/2016, Volume 48, Issue 2, pp. 365 - 378

Abstract We prove that any Iterated Function System of circle homeomorphisms with at least one of them having dense orbit, is asymptotically stable. The...

MATHEMATICS | MARKOV-PROCESSES | INVARIANT-MEASURES

MATHEMATICS | MARKOV-PROCESSES | INVARIANT-MEASURES

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 03/2019, Volume 371, Issue 3, pp. 1771 - 1793

We consider the topology and dynamics associated with a wide class of matchbox manifolds, including spaces of aperiodic tilings and suspensions of higher rank...

Homology | Invariant measure | Matchbox manifold | Aperiodic order | aperiodic order | MATHEMATICS | matchbox manifold | invariant measure | TILING SPACES

Homology | Invariant measure | Matchbox manifold | Aperiodic order | aperiodic order | MATHEMATICS | matchbox manifold | invariant measure | TILING SPACES

Journal Article

Stochastic Processes and their Applications, ISSN 0304-4149, 11/2018, Volume 128, Issue 11, pp. 3656 - 3678

In this paper, we prove a slight, but practically useful, generalisation of a criterion on asymptotic stability for Markov e-chains by T. Szarek, which is...

Markov chain | Iterated function system | Asymptotic stability | Coupling | Invariant measure | E-property | ERGODICITY | SPACES | EQUATIONS | STATISTICS & PROBABILITY | INVARIANT-MEASURES | CONVERGENCE | SYSTEMS

Markov chain | Iterated function system | Asymptotic stability | Coupling | Invariant measure | E-property | ERGODICITY | SPACES | EQUATIONS | STATISTICS & PROBABILITY | INVARIANT-MEASURES | CONVERGENCE | SYSTEMS

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 09/2019, Volume 39, Issue 9, pp. 5403 - 5429

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2018, Volume 466, Issue 1, pp. 281 - 306

We introduce a new induction scheme for non-uniformly expanding maps f of compact Riemannian manifolds, relying upon ideas of [33] and [10]. We use this...

Absolutely continuous invariant measures | Nonuniformly expanding | Markov structures | Positive Lyapunov exponents | Inducing schemes | MATHEMATICS, APPLIED | DECAY | MARKOV EXTENSIONS | S-UNIMODAL MAPS | ENDOMORPHISMS | MATHEMATICS | CONTINUOUS INVARIANT-MEASURES | ONE-DIMENSIONAL DYNAMICS | STATISTICAL PROPERTIES | SYSTEMS

Absolutely continuous invariant measures | Nonuniformly expanding | Markov structures | Positive Lyapunov exponents | Inducing schemes | MATHEMATICS, APPLIED | DECAY | MARKOV EXTENSIONS | S-UNIMODAL MAPS | ENDOMORPHISMS | MATHEMATICS | CONTINUOUS INVARIANT-MEASURES | ONE-DIMENSIONAL DYNAMICS | STATISTICAL PROPERTIES | SYSTEMS

Journal Article

Communications in Partial Differential Equations, ISSN 0360-5302, 12/2019, Volume 44, Issue 12, pp. 1466 - 1480

Uniqueness of positive solutions to viscous Hamilton-Jacobi-Bellman (HJB) equations of the form , with f a coercive function and λ a constant, in the...

ergodic control | viscous Hamilton-Jacobi equations | Convex duality | infinitesimally invariant measures | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT-MEASURES | BELLMAN EQUATIONS | TIME BEHAVIOR | STOCHASTIC-CONTROL | Partial differential equations | Mathematical analysis | Coercivity | Uniqueness | Elliptic functions | Formulas (mathematics) | Ergodic processes

ergodic control | viscous Hamilton-Jacobi equations | Convex duality | infinitesimally invariant measures | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT-MEASURES | BELLMAN EQUATIONS | TIME BEHAVIOR | STOCHASTIC-CONTROL | Partial differential equations | Mathematical analysis | Coercivity | Uniqueness | Elliptic functions | Formulas (mathematics) | Ergodic processes

Journal Article

Physics Letters A, ISSN 0375-9601, 02/2017, Volume 381, Issue 8, pp. 821 - 822

A correct version of the proof of Proposition 9 in [1] is given below. Other results of [1] are not affected. •We study the ergodic properties of a non-smooth...

Absolutely continuous invariant measures | Induced Markov map | Grazing-impact oscillators

Absolutely continuous invariant measures | Induced Markov map | Grazing-impact oscillators

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 11/2016, Volume 118, pp. 70 - 79

We study a dynamical system generalizing continuous iterated function systems and stochastic differential equations disturbed by Poisson noise. The aim of this...

Invariant measure | Dynamical systems | Law of large numbers | INVARIANT-MEASURES | STABILITY | STATISTICS & PROBABILITY | MARKOV-PROCESSES | Stochastic processes | Analysis

Invariant measure | Dynamical systems | Law of large numbers | INVARIANT-MEASURES | STABILITY | STATISTICS & PROBABILITY | MARKOV-PROCESSES | Stochastic processes | Analysis

Journal Article

Journal of Number Theory, ISSN 0022-314X, 09/2013, Volume 133, Issue 9, pp. 3183 - 3204

Recently, Edward Burger and his co-authors introduced and studied in Burger et al. (2008) [3] a new class of continued fraction algorithms. In particular they...

Ergodicity | σ-Finite, infinite invariant measure | Continued fractions | MATHEMATICS | INVARIANT-MEASURES | ROSEN FRACTIONS | sigma-Finite, infinite invariant measure | SHRINKING | Algorithms | Universities and colleges

Ergodicity | σ-Finite, infinite invariant measure | Continued fractions | MATHEMATICS | INVARIANT-MEASURES | ROSEN FRACTIONS | sigma-Finite, infinite invariant measure | SHRINKING | Algorithms | Universities and colleges

Journal Article

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