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of 24 142
pro vyhledávání: '"absolute continuity"'
Autor:
Kittle, Samuel, Kogler, Constantin
We give a condition for absolute continuity of self-similar measures in arbitrary dimensions. This allows us to construct the first explicit absolutely continuous examples of inhomogeneous self-similar measures in dimension one and two. In fact, for
Externí odkaz:
http://arxiv.org/abs/2409.18936
Autor:
Kim, Yujin H., Kriechbaum, Xaver
In this article, we consider the multiplicative chaos measure associated to the log-correlated random Fourier series, or random wave model, with i.i.d. coefficients taken from a general class of distributions. This measure was shown to be non-degener
Externí odkaz:
http://arxiv.org/abs/2410.19979
Autor:
Neunhäuserer, Jörg
Non-homogeneous self-similar measures are generically absolute continuous in the domain of parameters for which the similarity dimension is larger than one, see \cite{[SSS]}. Using certain algebraic curves we construct here exceptional singular non-h
Externí odkaz:
http://arxiv.org/abs/2410.08785
Let $f$ and $g$ be two volume preserving, Anosov diffeomorphisms on $\mathbb{T}^2$, sharing common stable and unstable cones. In this paper, we find conditions for the existence of (dissipative) neighborhoods of $f$ and $g$, $\mathcal{U}_f$ and $\mat
Externí odkaz:
http://arxiv.org/abs/2409.18252
Autor:
Bakhtin, V. I.
It is proved that a parameterized curve in a metric space $X$ is absolutely continuous if and only if its composition with any Lipschitz function on $X$ is absolutely continuous.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2406.08941
This paper is partly an exposition, and partly an extension of our work [1] to the multiparameter case. We consider certain classes of parametrized dynamically defined measures. These are push-forwards, under the natural projection, of ergodic measur
Externí odkaz:
http://arxiv.org/abs/2405.06466
Autor:
Ge, Lingrui1 (AUTHOR) gelingrui@bicmr.pku.edu.cn, Jitomirskaya, Svetlana2,3 (AUTHOR), Zhao, Xin1,2 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Aug2023, Vol. 402 Issue 1, p213-229. 17p.
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