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Showing 1 to 20 of 29 for “"Absolutely Continuous"”.
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Absolutely Continuous Stationary Measures
… are what are their dimensions and when are they absolutely continuous. This thesis deals with the second one of these. There are several classes of stationary measures which are known to be absolutely continuous for typical choices of parameters. For example Solomyak showed that for almost every …
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The Fourier-Stieltjes transform and absolutely continuous invariant measures
We present some results 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 …
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Absolutely continuous invariant measures for a class of meromorphic functions
… Subsequently, we will 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
… expanding. In the latter case, there exists an absolutely continuous invariant measure (acim) and in many examples we will find the measure.
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Construction of a Non-Standard Integral on AC [0, 1]
… of another function if and only if it is absolutely continuous is stated. Finally, the chapter closes with an example of a very peculiar function, which illustrates the distinction between integration and antidifferentiation. Chapter Three also follows the path in Royden. More care is …
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Construction of a non-standard integral on AC [0, 1]
… of another function if and only if it is absolutely continuous is stated. Finally, the chapter closes with an example of a very peculiar function, which illustrates the distinction between integration and antidifferentiation. Chapter Three also follows the path in Royden. More care is …
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Applications and Computation of Stateful Polya Trees
… priors on distributions which are able to model absolutely continuous distributions directly, rather than modeling a discrete distribution over parameters of a mixing kernel to obtain an absolutely continuous distribution. The Polya tree discretizes the state space with a recursive partition, …
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Invariant measures for inner functions
… in the unit disk and 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 …
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Continuous Spectra For Substitution-Based Sequences
This thesis is chiefly concerned with the continuous spectra of substitution-based sequences. First, motivated by a question of Lafrance, Yee and Rampersad [34], we establish a connection between the ‘root-N’ property and the corresponding sequences that satisfy it having absolutely continuous …
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Subordinacy and spectral analysis of Schrödinger operators
… II. The theory of subordinacy, which relates the absolutely continuous, singular continuous and discrete parts of the spectrum to the relative asymptotic behaviour of solutions of the radial Schrödinger equation, is established in Chapter III for the case where L 2 = -d + V(r) / dr2 is regular at …
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Percolation On Galton-Watson Trees
… law of the unique ray in the invasion cluster is absolutely continuous with respect to the limit uniform measure. All results are under assumptions for the offspring distribution of the underlying Galton-Watson tree.
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ΣΠΟΥΔΗ ΣΤΑ ΙΔΙΑΖΟΝΤΑ ΜΕΤΡΑ ΠΟΥ ΠΡΟΚΥΠΤΟΥΝ ΑΠΟ ΑΠΕΙΡΟΓΙΝΟΜΕΝΑ
… COMPACT NON DISCRETE GROUP G, THERE EXIST CONTINUOUS SINGULAR MEASURES, WITH RESPECT TO THE LEFT HAAR MEASURE, WHICH HAVE ABSOLUTELY CONTINUOUS CONVOLUTION SQUARES.FURTHERMORE, WE INTRODUCE THE NOTION OF GENERALIZED RADEMACHER- RIESZ PRODUCT MEASURE. WE STUDY THE ERGODICITY OF THESE …
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Degree Theory and Nonlinear Boundary Value Problems at Resonance
… BC = $\{y \in L\sp\infty$ (a,b): $y\sp\prime$ is absolutely continuous on (a,b), and y satisfies the boundary conditions$\}$. Assume the null space of L:BC $\to$ $L\sp1$ (a,b) is one-dimensional and spanned by $\varphi$. This is what is called the problem at resonance.
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Distributionally robust optimization with marginals : theory and applications
… problem from the set of joint distributions with absolutely continuous marginal distributions to arbitrary marginal distributions using techniques from optimal transport theory.
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Semi-Parametric Likelihood Functions for Bivariate Survival Data
… occurrence. In that sense, we capture the absolutely continuous case, and the Marshall-Olkin type with a positive probability of simultaneous event on a set of measure zero. In particular, the form of the joint distribution when the marginals are of gamma distributions are provided, …
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Nonstandard vector integrals and vector measures
… a generalized Radon-Nikodym derivative for all absolutely continuous vector measures of bounded variation.
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On Self-Similar Gaussian Processes
… parameter HK plus a stochastic process with absolutely continuous trajectories. Some applications of this decomposition are discussed. In the second part we establish a change-of-variable formula for a class of Gaussian processes with a covariance function satisfying minimal regularity and …
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Relating diameter and mean curvature for varifolds
… is locally bounded, the total variation is absolutely continuous with respect to the weight measure, the density of the weight measure is at least one outside a set of weight measure zero and the generalized mean curvature is locally summable to a natural power (dimension of the varifold …
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Flexible Statistical Models for Imprecise and Uncertain Data: A New Generalization Approach
… extending any probability distribution ν to an absolutely continuous distribution with density g(y) =ν(y + A)/|A|, where A is any bounded measurable set of size |A|. This generalized distribution allows the model to adapt to data characteristics that the original (or "base") distribution ν may …
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Counterexamples related to the Sato-Tate conjecture
… $\mu$ on $[0,\pi]$ for which $\cos_\ast\mu$ is absolutely continuous with bounded derivative.
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