Zobrazeno 1 - 10
of 259
pro vyhledávání: '"Nazarov, Fedor"'
For every large enough $n$, we explicitly construct a body of constant width $2$ that has volume less than $0.9^n \text{Vol}(\mathbb{B}^{n}$), where $\mathbb{B}^{n}$ is the unit ball in $\mathbb{R}^{n}$. This answers a question of O.~Schramm.
Co
Co
Externí odkaz:
http://arxiv.org/abs/2405.18501
Autor:
Jacob, Markus, Nazarov, Fedor
Under certain natural sufficient conditions on the sequence of uniformly bounded closed sets $E_k\subset\mathbb{R}$ of admissible coefficients, we construct a polynomial $P_n(x)=1+\sum_{k=1}^n\varepsilon_k x^k$, $\varepsilon_k\in E_k$, with at least
Externí odkaz:
http://arxiv.org/abs/2404.07971
Motivated by recent works by Radchenko and Viazovska and by Ramos and Sousa, we find sufficient conditions for a pair of discrete subsets of the real line to be a uniqueness or a non-uniqueness pair for the Fourier transform. These conditions are clo
Externí odkaz:
http://arxiv.org/abs/2306.14013
We prove that the length of the projection of the vector joining the centers of mass of a convex body on the plane and of its boundary to an arbitrary direction does not exceed $\frac{1}{6}$ of the body width in this direction. It follows that the di
Externí odkaz:
http://arxiv.org/abs/2305.15646
We consider a boundary value problem for the $p$-Laplacian, posed in the exterior of small cavities that all have the same $p$-capacity and are anchored to the unit sphere in $\mathbb{R}^d$, where $1
Externí odkaz:
http://arxiv.org/abs/2205.07133
In this paper we estimate the tail of distribution (i.e., the measure of the set $\{f\ge x\}$) for those functions $f$ whose dyadic square function is bounded by a given constant. In particular we get a bit better estimate than the estimate following
Externí odkaz:
http://arxiv.org/abs/2204.01336
Autor:
Nazarov, Fedor, Zumbrun, Kevin
We establish an instantaneous smoothing property for decaying solutions on the half-line $(0,+\infty)$ of certain degenerate Hilbert space-valued evolution equations arising in kinetic theory, including in particular the steady Boltzmann equation. Ou
Externí odkaz:
http://arxiv.org/abs/2203.14862
Autor:
Andrievskii, Vladimir, Nazarov, Fedor
Let $K\subset \mathbb R$ be a regular compact set and let $g(z)=g_{\overline{\mathbb C}\setminus K}(z,\infty)$ be the Green function for $\overline{\mathbb C}\setminus K$ with pole at infinity. For $\delta>0$, define $$ G(\delta):=\max\{ g(z): z\in \
Externí odkaz:
http://arxiv.org/abs/2111.04607
We prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice $\mathbb{Z}^{d+1}$, subject to an i.i.d. random potential and in the regime of weak disorder. In particu
Externí odkaz:
http://arxiv.org/abs/2107.12738
We show that the fifth and the eighth Busemann-Petty problems have positive solutions for bodies that are sufficiently close to the Euclidean ball in the Banach-Mazur distance.
Comment: 25 pages, 2 figures
Comment: 25 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2101.08384