Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Smania, Daniel"'
We study Birkhoff sums as distributions. We obtain regularity results on such distributions for various dynamical systems with hyperbolicity, as hyperbolic linear maps on the torus and piecewise expanding maps on the interval. We also give some appli
Externí odkaz:
http://arxiv.org/abs/2104.04806
Often topological classes of one-dimensional dynamical systems are finite codimension smooth manifolds. We describe a method to prove this sort of statement that we believe can be applied in many settings. In this work we will implement it for piecew
Externí odkaz:
http://arxiv.org/abs/2104.04820
Autor:
Baladi, Viviane, Smania, Daniel
Publikováno v:
Communications in Mathematical Physics, Vol 385, pp 1957-2007 (2021)
For the quadratic family, we define the two-variable ($\eta$ and $z$) fractional susceptibility function associated to a C^1 observable at a stochastic map. We also define an approximate, "frozen" fractional susceptibility function. If the parameter
Externí odkaz:
http://arxiv.org/abs/2008.01654
In this paper we study homeomorphisms of the circle with several critical points and bounded type rotation number. We prove complex a priori bounds for these maps. As an application, we get that bi-cubic circle maps with same bounded type rotation nu
Externí odkaz:
http://arxiv.org/abs/2005.02377
Autor:
Smania, Daniel
Arbieto and S. recently used atomic decomposition to study transfer operators. We give a long list of old and new expanding dynamical systems for which those results can be applied, obtaining the quasi-compactness of transfer operator acting on Besov
Externí odkaz:
http://arxiv.org/abs/1903.06976
Autor:
Arbieto, Alexander, Smania, Daniel
We use the method of atomic decomposition and a new family of Banach spaces to study the action of transfer operators associated to piecewise-defined maps. It turns out that these transfer operators are quasi-compact even when the associated potentia
Externí odkaz:
http://arxiv.org/abs/1903.06943
Autor:
Smania, Daniel
In a previous work we introduced Besov spaces $\mathcal{B}^s_{p,q}$ defined on a measure spaces with a good grid, with $p\in [1,\infty)$, $q\in [1,\infty]$ and $0< s< 1/p$. Here we show that classical Besov spaces on compact homogeneous spaces are ex
Externí odkaz:
http://arxiv.org/abs/1903.06941
Autor:
Smania, Daniel
Publikováno v:
Analysis & PDE 15 (2022) 123-174
We use the method of atomic decomposition to build new families of function spaces, similar to Besov spaces, in measure spaces with grids, a very mild assumption. Besov spaces with low regularity are considered in measure spaces with good grids, and
Externí odkaz:
http://arxiv.org/abs/1903.06937
Autor:
Siqueira, Carlos, Smania, Daniel
We study quasiconformal deformations and mixing properties of hyperbolic sets in the family of holomorphic correspondences z^r +c, where r >1 is rational. Julia sets in this family are projections of Julia sets of holomorphic maps on C^2, which are s
Externí odkaz:
http://arxiv.org/abs/1608.04333
Autor:
Smania, Daniel
Publikováno v:
Ann. of Math. (2) 191 (2020), no. 1, 1-79
We show that in a generic finite-dimensional real-analytic family of real-analytic multimodal maps, the subset of parameters on which the corresponding map has a solenoidal attractor with bounded combinatorics is a set with zero Lebesgue measure.
Externí odkaz:
http://arxiv.org/abs/1603.06300