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Showing 1 to 15 of 15 for “"invariant measure"”.
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Absolutely continuous invariant measures for a class of meromorphic functions
… demonstrate that it has an absolutely continuous invariant measure. Finally, we will present an example to emphasise the use of this transformation.
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Absolutely continuous invariant measures for piecewise linear interval maps both expanding and contracting
… case, there exists an absolutely continuous invariant measure (acim) and in many examples we will find the measure.
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Exploring Probability Measures with Markov Processes
… of the system as being drawn from a probability measure, which is usually given algebraically, i.e. as a formula. While this representation can be useful for deriving certain characteristics of the system, it is by now well-appreciated that many questions about stochastic systems are …
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Stochastic optimization algorithms for adaptive modulation in software defined radio
… In real time, the performance of the system is measured and stochastic approximation techniques are used to learn the optimal transmission parameters of the system. The technique is applied to Software Defined Radio (SDR) platforms, an emerging wireless technology which is currently being …
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Stochastic hypodissipative hydrodynamic equations: well-posedness, stationary solutions and ergodicity
… damping term, we prove the uniqueness of the invariant measure when the noise term is small enough with respect to the damping term by the coupling method. Moreover, the convergence to the (unique) invariant measure is proved to be exponentially fast.<br /> 3. We show that there exists a white …
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On mobs with certain group-like properties
… in obtaining a (non-trivial) regular, right-invariant measure over a locally compact left group satisfying the conditions: a) open sets are preserved by left translation b) each group component is open. In the section dealing with integrals, we consider a compact metric topological semigroup …
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Fine properties of stochastic evolution equations and their applications
… In the second part, some properties of invariant measures and transition semigroups are investigated for SPDE with additive noise. The main tool is the dimension-free Harnack inequality, which is established by using a coupling method and Girsanov transformation techniques. Subsequently, …
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Wigner functions for a class of semidirect product groups
… in G , with complement of (left or right) Haar measure zero; (ii) the group admits a square-integrable representation; (iii) the Lebesgue measure d X * in the dual of the Lie algebra can be decomposed as [Special characters omitted.] , [Special characters omitted.] where [Special characters …
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Impact Of Time-Varying And Time-Invariant Measures Of Adherence To Secondary Prevention Therapies Post-Acute Myocardial Infarction: An Application Of Marginal Structural Models (MSMS)
… risk of cardiovascular events by using time-invariant and time-varying measures of adherence. The effectiveness of both measures in predicting a (i) recurrent AMI, and (ii) mortality using various mathematical models and statistical techniques was compared. Time dependent confounding was …
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Emergence and stability of complex structures from stochastic neuronal networks
… makes it possible to show the existence of an invariant measure with some convergence rates. In this context, other theorems are introduced to shed insight beyond the simple phenomenological approaches with simulations that others have developed. Then the system is studied qualitatively by …
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Characterizing the Respiration of Stems and Roots of Three Hardwood Tree Species in the Great Smoky Mountains
… parameters. CER of small roots (d<0-8 mm) was measured with a newly developed system which allows periodic <i>in situ</i> measurements by using permanently installed flexible cuvettes. Temperature-adjusted CER of roots showed no diel variation. The moderate long-term changes occurred …
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Asymptotic theory for Bayesian nonparametric inference in statistical models arising from partial differential equations
… an unknown function from a linear indirect measurement corrupted by additive Gaussian white noise. We employ a nonparametric Bayesian approach with standard Gaussian priors, for which the posterior-based reconstruction corresponds to a Tikhonov regulariser with a reproducing kernel Hilbert …
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Stochastic stability of replicator dynamics with random jumps
… functions we are able to estimate the ergodic measure for all games. Lastly, working with results and methods developed by Imhoff, we prove some stability theorems for an arbitrary n by n game.
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Contributions to asymptotic theory in nonparametric statistics
… on the smoothness of the true parameter, measured on the Besov scale. For the classically studied L^p-losses, it is known that such adaptive confidence sets only exist for a narrow range of smoothnesses; in the case of L^∞-loss, no adaptation is possible at all. For the Wasserstein …
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Observation and simulation of mid-latitude ice clouds
… definition of Dmax should be used for all measurements and single particle properties. As an invariant measure with respect to the orientation of particles in the imaging plane for 2D probes, the diameter of the smallest circle enclosing the particle (DS) is recommended as the optimal …