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Showing 1 to 14 of 14 for “"Invariant measures"”.
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Invariant measures for inner functions
… in the upper half plane. Absolutely continuous invariant, measures for inner functions, ergodicity and exactness will be discussed. Moreover, under some conditions, we prove that the restriction of an inner function to [Special characters omitted.] is ergodic if and only if the Julia set is the …
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The Fourier-Stieltjes transform and absolutely continuous invariant measures
… on the existence of absolutely continuous invariant measures (acim's) using the Fourier-Stieltjes transform. We consider the sequence of Perron Frobenius operators $$\{f,P\sb{\tau}f,P\sbsp{\tau}{2}f,P\sbsp{\tau}{3}f,\... ,P\sbsp{\tau}{n}f,\...\},$$induced by the nonsingular transformation …
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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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Global Cross-Sections and Invariant Measures With Applications to the Densities of Maximal Invariants
Made available in DSpace on 2014-12-10T16:39:51Z (GMT). No. of bitstreams: 1 6910750.pdf: 2477199 bytes, checksum: 8cb56215a097356ea18bab817479b9bf (MD5) Previous issue date: 1968
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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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Grothendieck Semirings and Definable Endofunctions
… also emphasize Euler characteristics, that is, invariant measures simultaneously additive and multiplicative on the classes of objects of such categories. The semiring of any strongly minimal group, as well as the one of any infinite vector space over any division ring, is isomorphic to the …
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Time-series analysis using orthogonal polynomials
… of the polynomial system 11 orthonormal to the invariant measures. Programs have been written based on the MB approach and these programs were tested on various one dimensional time-series like the sine map, the tent map and the logistic map. This approach to reconstruction furnishes good …
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Pullback of currents by meromorphic maps
… maps proves the existence of a measure which is invariant under $f$ and has maximal entropy (i.e. the entropy of the measure equals the topological entropy). The same question is harder to answer for a general meromorphic map $f$, due to the fact that $f$ is not continuous. Since the pioneer work …
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EXTENSION OF PLURISUBHARMONIC FUNCTIONS AND DYNAMICS OF POLYNOMIAL MAPPINGS
… occur. Using these estimates, they constructed invariant measures for the maps in three of these classes. By the work of Coman on the fourth class later, the dynamics of the maps from the first four classes is completely understood. This dissertation focuses on the dynamics of maps from the …
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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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Ergodic properties of countable extensions
… eigenvector of an operator acting on a space of measures. Then we give examples, both Markov and non-Markov, for which the criterion is violated. ^ Next, we establish a criterion for the existence of a constant slope map on the extended real line conjugate to a given countably piecewise monotone …
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Stationary Density Computation of the Frobenius-Perron Operators Based on the Dirac Delta Function
… for the existence and computation of absolutely invariant measures have played an important role in this field. In this study, we focus on the computation of a nontrivial fixed point of Frobenius-Perron operators (F-P operators).</p> <p>Let <em>S</em>: [0,1] → [0,1] be a piecewise monotonic …
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d-bar continuity beyond subshifts of finite type
… in the $\overline{d}$-metric on the space of measures and the metric coming from the Hölder norm on the space of potentials. The concept of $\overline{d}$-distance on the space of invariant measures on a shift space was introduced by Ornstein to study the isomorphism problem for Bernoulli …