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ABSOLUTE CONTINUITY AND SINGULARITY OF LOCALLY ABSOLUTELY CONTINUOUS PROBABILITY DISTRIBUTIONS. I

Mathematics of the USSR-Sbornik, 1979
The second part of this study deals with criteria for the absolute continuity of measures for various classes of random processes, starting out from the general results in Part I. We consider processes with independent increments, semimartingales, multivariate point processes, Gaussian processes, Markov chains, and processes with a countable number of ...
Kabanov, Yu. M.   +2 more
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Absolutely Continuous Functions

2015
Let \(f:[a,b]\rightarrow \mathbb R\) be a continuous function and let \(F:[a,b]\rightarrow \mathbb R\) be continuously differentiable.
Piermarco Cannarsa, Teresa D’Aprile
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ABSOLUTE CONTINUITY IN PERIODIC WAVEGUIDES

Proceedings of the London Mathematical Society, 2002
We study second order elliptic operators with periodic coefficients in two-dimensional simply connected periodic waveguides with the Dirichlet or Neumann boundary conditions. It is proved that under some mild smoothness restrictions on the coefficients, such operators have purely absolutely continuous spectra.
Sobolev, Alexander V., Walthoe, Jonathan
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Continuous Absolute Timing

2002
In the previous chapter, we introduced a version of ACP with relative timing and time measured on a continuous time scale. In this chapter, we will introduce a version of ACP with absolute timing and time measured on a continuous time scale. As in the version introduced in the previous chapter, the possibility that two or more actions are performed ...
J. C. M. Baeten, C. A. Middelburg
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Absolute Continuity of Diffusion Bridges

Sankhya B, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Absolutely continuous solutions

2013
The theory of the calculus of variations at the turn of the twentieth century lacked a critical component: it had no existence theorems. These constitute an essential ingredient of the deductive method, the approach whereby one combines existence, rigorous necessary conditions, and examination of candidates to arrive at a solution.
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Absolutely Continuous Approximations

2016
For absolutely continuous distributions it is more convenient to write all results in terms of distribution functions. We recall that the distribution function of F is \(F(x) = F\{(-\infty,x]\}\) and \(\displaystyle{ F(x) =\int \limits _{ -\infty }^{x}f(y)\,\mbox{ d}y,\qquad \widehat{F}(t) =\int \limits _{ -\infty }^{\infty }\mathrm{e}^{\mathrm{i}tx}f ...
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On Absolutely Continuous Functions

The American Mathematical Monthly, 1965
(1965). On Absolutely Continuous Functions. The American Mathematical Monthly: Vol. 72, No. 8, pp. 831-841.
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Absolutely Continuous Invariant Measures

1997
In this chapter, we prove the existence of absolutely continuous invariant measures (acim) using bounded variation techniques. Examples of transformations having an acim were known to Ulam and von Neumann [Ulam and von Neumann, 1940]. Renyi [Renyi, 1957] was the first one to define a class of transformations that have an acim.
Abraham Boyarsky, Paweł Góra
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Absolute continuity

1986
A. Katok, J. -M. Strelcyn
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