Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Friedland, Omer"'
Autor:
Friedland, Omer, Ueberschaer, Henrik
We introduce a new method to estimate the $L^\infty$ norm for eigenfunctions of partial differential operators on an arbitrary open set $\Omega$ in $\mathbb{R}^d$. We establish a general inequality which estimates the local $L^\infty$ norm by the num
Externí odkaz:
http://arxiv.org/abs/2407.10665
Autor:
Friedland, Omer, Ueberschär, Henrik
We construct a continuous family of quasimodes for the Laplace-Beltrami operator on a translation surface. We apply our result to rational polygonal quantum billiards and thus construct a continuous family of quasimodes for the Neumann Laplacian on s
Externí odkaz:
http://arxiv.org/abs/1909.09798
Let $f(z) = \sum_{k=0}^\infty a_k z^k$ be an analytic function in a disk $D_R$ of radius $R>0$, and assume that $f$ is $p$-valent in $D_R$, i.e. it takes each value $c\in{\mathbb C}$ at most $p$ times in $D_R$. We consider its Borel transform $$ B(f)
Externí odkaz:
http://arxiv.org/abs/1909.04918
In this paper we provide asymptotic upper bounds on the complexity in two (closely related) situations. We confirm for the total doubling coverings and not only for the chains the expected bounds of the form $$ \kappa({\mathcal U}) \le K_1(\log ({1}/
Externí odkaz:
http://arxiv.org/abs/1903.04281
Autor:
Friedland, Omer, Ueberschaer, Henrik
Rational polygonal billiards are one of the key models among the larger class of pseudo-integrable billiards. Their billiard flow may be lifted to the geodesic flow on a translation surface. Whereas such classical billiards have been much studied in
Externí odkaz:
http://arxiv.org/abs/1812.08467
Autor:
Friedland, Omer, Yomdin, Yosef
A doubling chart on an $n$-dimensional complex manifold $Y$ is a univalent analytic mapping $\psi:B_1\to Y$ of the unit ball in $\mathbb{C}^n$, which is extendible to the (say) four times larger concentric ball of $B_1$. A doubling covering of a comp
Externí odkaz:
http://arxiv.org/abs/1708.00831
Autor:
Friedland, Omer, Youssef, Pierre
Publikováno v:
International Mathematics Research Notices, 2017
We show that any $n\times m$ matrix $A$ can be approximated in operator norm by a submatrix with a number of columns of order the stable rank of $A$. This improves on existing results by removing an extra logarithmic factor in the size of the extract
Externí odkaz:
http://arxiv.org/abs/1605.03861
Autor:
Friedland, Omer, Yomdin, Yosef
A doubling covering $\U$ of a complex $n$-dimensional manifold $Y$ consists of analytic functions $\psi_j:B_1\to Y$, each function being analytically extendable, as a mapping to $Y$, to a four times larger concentric ball $B_4$. Main result of this p
Externí odkaz:
http://arxiv.org/abs/1512.02903
Given a star-shaped domain $K\subseteq \mathbb R^d$, $n$ vectors $v_1,\dots,v_n \in \mathbb R^d$, a number $R>0$, and i.i.d. random variables $\eta_1,\dots,\eta_n$, we study the geometric and arithmetic structure of the set of vectors $V = \{v_1,\dot
Externí odkaz:
http://arxiv.org/abs/1510.03937
Autor:
Friedland, Omer, Yomdin, Yosef
We introduce the notion of $(\mathcal F,p)$-valent functions. We concentrate in our investigation on the case, where $\mathcal F$ is the class of polynomials of degree at most $s$. These functions, which we call $(s,p)$-valent functions, provide a na
Externí odkaz:
http://arxiv.org/abs/1503.00325