Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Temesvari, Daniel"'
Publikováno v:
Can. J. Math.-J. Can. Math. 73 (2021) 1627-1647
A new approach to prove weak convergence of random polytopes on the space of compact convex sets is presented. This is used to show that the profile of the rescaled Schl\"afli random cone of a random conical tessellation generated by $n$ independent
Externí odkaz:
http://arxiv.org/abs/2003.04001
Autor:
Reitzner, Matthias, Temesvari, Daniel
Let $X=\{x_1,\ldots,x_n\} \subset \mathbb R^d$ be an $n$-element point set in general position. For a $k$-element subset $\{x_{i_1},\ldots,x_{i_k}\} \subset X$ let the degree ${\rm deg}_k(x_{i_1},\ldots,x_{i_k})$ be the number of empty simplices $\{x
Externí odkaz:
http://arxiv.org/abs/1808.08734
Let $X_1,\ldots,X_N$, $N>n$, be independent random points in $\mathbb{R}^n$, distributed according to the so-called beta or beta-prime distribution, respectively. We establish threshold phenomena for the volume, intrinsic volumes, or more general mea
Externí odkaz:
http://arxiv.org/abs/1802.04089
Let $U_1,U_2,\ldots$ be random points sampled uniformly and independently from the $d$-dimensional upper half-sphere. We show that, as $n\to\infty$, the $f$-vector of the $(d+1)$-dimensional convex cone $C_n$ generated by $U_1,\ldots,U_n$ weakly conv
Externí odkaz:
http://arxiv.org/abs/1801.08008
Let $X_1,\ldots,X_n$ be i.i.d.\ random points in the $d$-dimensional Euclidean space sampled according to one of the following probability densities: $$ f_{d,\beta} (x) = \text{const} \cdot (1-\|x\|^2)^{\beta}, \quad \|x\|\leq 1, \quad \text{(the bet
Externí odkaz:
http://arxiv.org/abs/1707.02253
Autor:
Bonnet, Gilles, Grote, Julian, Temesvari, Daniel, Thaele, Christoph, Turchi, Nicola, Wespi, Florian
Publikováno v:
Journal of Mathematical Analysis and Applications 455, 1351-1364 (2017)
Let $X_1,\ldots,X_n$ be independent random points that are distributed according to a probability measure on $\mathbb{R}^d$ and let $P_n$ be the random convex hull generated by $X_1,\ldots,X_n$ ($n\geq d+1$). Natural classes of probability distributi
Externí odkaz:
http://arxiv.org/abs/1703.02321
Autor:
Temesvari, Daniel
For a finite set $X$ of $n$ points from $\mathbb{R}^M$, the degree of an $M$-element subset $\{x_1,\dots,x_M\}$ of $X$ is defined as the number of $M$-simplices that can be constructed from this $M$-element subset using an additional point $z\in X$,
Externí odkaz:
http://arxiv.org/abs/1612.07481
Autor:
Reitzner, Matthias1 matthias.reitzner@uni-osnabrueck.de, Temesvari, Daniel2 d.temesvari@hotmail.com
Publikováno v:
Illinois Journal of Mathematics. Mar2024, Vol. 68 Issue 1, p87-109. 23p.
Publikováno v:
Mathematische Nachrichten. Jan2019, Vol. 292 Issue 1, p79-105. 27p.
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