Zobrazeno 1 - 10
of 1 861
pro vyhledávání: '"P, Matzke"'
We study probability measures that minimize the Riesz energy with respect to the geodesic distance $\vartheta (x,y)$ on projective spaces $\mathbb{FP}^d$ (such energies arise from the 1959 conjecture of Fejes T\'oth about sums of non-obtuse angles),
Externí odkaz:
http://arxiv.org/abs/2409.16508
We study Babai numbers and Babai $k$-spectra of paths and cycles. We completely determine the Babai numbers of paths $P_n$ for $n>1$ and $1 \leq k \leq n-1$, and the Babai $k$-spectra for $P_n$ when $1 \leq k \leq n/2$. We also completely determine B
Externí odkaz:
http://arxiv.org/abs/2409.04869
We consider Riesz energy problems with radial external fields. We study the question of whether or not the equilibrium is the uniform distribution on a sphere. We develop general necessary as well as general sufficient conditions on the external fiel
Externí odkaz:
http://arxiv.org/abs/2405.00120
Determinantal point processes exhibit an inherent repulsive behavior, thus providing examples of very evenly distributed point sets on manifolds. In this paper, we study the so-called harmonic ensemble, defined in terms of Laplace eigenfunctions on t
Externí odkaz:
http://arxiv.org/abs/2308.06216
Autor:
Frank, Rupert L., Matzke, Ryan W.
We solve explicitly a certain minimization problem for probability measures involving an interaction energy that is repulsive at short distances and attractive at large distances. We complement earlier works by showing that part of the remaining para
Externí odkaz:
http://arxiv.org/abs/2307.13769
We consider random lines in $\mathbb{R}^3$ (random with respect to the kinematic measure) and how they intersect $\mathbb{S}^2$. It is known that the entry point and the exit point behave like \textit{independent} uniformly distributed random variabl
Externí odkaz:
http://arxiv.org/abs/2307.04314
Autor:
Bilyk, Dmitriy, Ferizović, Damir, Glazyrin, Alexey, Matzke, Ryan W., Park, Josiah, Vlasiuk, Oleksandr
We study measures and point configurations optimizing energies based on multivariate potentials. The emphasis is put on potentials defined by geometric characteristics of sets of points, which serve as multi-input generalizations of the well-known Ri
Externí odkaz:
http://arxiv.org/abs/2303.14258
Autor:
Bilyk, Dmitriy, Ferizović, Damir, Glazyrin, Alexey, Matzke, Ryan, Park, Josiah, Vlasiuk, Oleksandr
This paper is devoted to spherical measures and point configurations optimizing three-point energies. Our main goal is to extend the classic optimization problems based on pairs of distances between points to the context of three-point potentials. In
Externí odkaz:
http://arxiv.org/abs/2303.12283
We investigate the behavior of a greedy sequence on the sphere $\mathbb{S}^d$ defined so that at each step the point that minimizes the Riesz $s$-energy is added to the existing set of points. We show that for $0
Externí odkaz:
http://arxiv.org/abs/2302.13067
Autor:
Alexandra Sarafoglou, Suzanne Hoogeveen, Don van den Bergh, Balazs Aczel, Casper J. Albers, Tim Althoff, Rotem Botvinik-Nezer, Niko A. Busch, Andrea M. Cataldo, Berna Devezer, Noah N. N. van Dongen, Anna Dreber, Eiko I. Fried, Rink Hoekstra, Sabine Hoffman, Felix Holzmeister, Jürgen Huber, Nick Huntington-Klein, John Ioannidis, Magnus Johannesson, Michael Kirchler, Eric Loken, Jan-Francois Mangin, Dora Matzke, Albert J. Menkveld, Gustav Nilsonne, Don van Ravenzwaaij, Martin Schweinsberg, Hannah Schulz-Kuempel, David R. Shanks, Daniel J. Simons, Barbara A. Spellman, Andrea H. Stoevenbelt, Barnabas Szaszi, Darinka Trübutschek, Francis Tuerlinckx, Eric L. Uhlmann, Wolf Vanpaemel, Jelte Wicherts, Eric-Jan Wagenmakers
Publikováno v:
Royal Society Open Science, Vol 11, Iss 7 (2024)
Many-analysts studies explore how well an empirical claim withstands plausible alternative analyses of the same dataset by multiple, independent analysis teams. Conclusions from these studies typically rely on a single outcome metric (e.g. effect siz
Externí odkaz:
https://doaj.org/article/d7509320d3184de2a8da81f393878f6a
