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pro vyhledávání: '"Kittle, Samuel"'
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:
Kittle, Samuel
In this paper we provide a sufficient condition for a Furstenberg measure generated by a finitely supported measure to be absolutely continuous. Using this, we give a very broad class of examples of absolutely continuous Furstenberg measures includin
Externí odkaz:
http://arxiv.org/abs/2305.05757
Autor:
Kittle, Samuel
We prove that a self similar measure is absolutely continuous providing that it satisfies a condition depending on its Garsia entropy, contraction ratio, and the separation between different points in approximations of the self similar measure. In th
Externí odkaz:
http://arxiv.org/abs/2103.12684