Zobrazeno 1 - 10
of 684
pro vyhledávání: '"Oliynyk, A. P."'
Publikováno v:
Phys. Rev. D 110 (2024), 044060
Using numerical methods, we examine, under a Gowdy symmetry assumption, the dynamics of nonlinearly perturbed FLRW fluid solutions of the Einstein-Euler-scalar field equations in the contracting direction for linear equations of state $p = K\rho$ and
Externí odkaz:
http://arxiv.org/abs/2405.09095
We demonstrate a novel phase transition from stable to unstable fluid behaviour for fluid-filled cosmological spacetimes undergoing decelerated expansion. This transition occurs when the fluid speed of sound $c_S$ exceeds a critical value relative to
Externí odkaz:
http://arxiv.org/abs/2405.03431
We study the future stability of cosmological fluids, in spacetimes with an accelerated expansion, which exhibit extreme tilt behavior, ie. their fluid velocity becoming asymptotically null at timelike infinity. It has been predicted in the article \
Externí odkaz:
http://arxiv.org/abs/2404.06789
The unitary Cayley graph $C_R$ of a finite unital ring $R$ is the simple graph with vertex set $R$ in which two elements $x$ and $y$ are connected by an edge if and only if $x-y$ is a unit of $R$. We characterize the unitary Cayley graph $C_{T_n (\ma
Externí odkaz:
http://arxiv.org/abs/2403.01303
We design in this work a discrete de Rham complex on manifolds. This complex, written in the framework of exterior calculus, is applicable on meshes on the manifold with generic elements, and has the same cohomology as the continuous de Rham complex.
Externí odkaz:
http://arxiv.org/abs/2401.16130
Autor:
Oliynyk, Todd A.
On exponentially expanding Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) spacetimes, there is a distinguished family of spatially homogeneous and isotropic solutions to the relativistic Euler equations with a linear equation of state of the form $p=
Externí odkaz:
http://arxiv.org/abs/2310.19184
Autor:
Joshua Au Yeung, Anthony Shek, Thomas Searle, Zeljko Kraljevic, Vlad Dinu, Mart Ratas, Mohammad Al-Agil, Aleksandra Foy, Barbara Rafferty, Vitaliy Oliynyk, James T. Teo
Publikováno v:
BMC Medical Informatics and Decision Making, Vol 24, Iss 1, Pp 1-10 (2024)
Abstract Purpose of Review Embedding machine learning workflows into real-world hospital environments is essential to ensure model alignment with clinical workflows and real-world data. Many non-healthcare industries undergoing digital transformation
Externí odkaz:
https://doaj.org/article/8cf525a2371940b88626bd4773b8c30e
Autor:
Oliynyk, Andriy, Prokhorchuk, Veronika
It is examined finite state automorphisms of regular rooted trees constructed to represent groups $GL(n,\mathbb{Z})$. The number of states of automorphisms that correspond to elementary matrices is computed. Using the representation of $GL(2,\mathbb{
Externí odkaz:
http://arxiv.org/abs/2309.01241
Autor:
Beyer, Florian, Oliynyk, Todd A.
We establish, in spacetime dimensions $n\geq 3$, the nonlinear stability in the contracting direction of Friedmann-Lema\^itre-Robertson-Walker (FLRW) solutions to the Einstein-Euler-scalar field equations with linear equations of state $P=c_s^2 \rho$
Externí odkaz:
http://arxiv.org/abs/2308.07475
Autor:
Oliynyk, Andriy, Prokhorchuk, Veronika
For every prime $p$ it is shown that a wide class of HNN extensions of free abelian groups admit faithful representation by finite $p$-automata.
Externí odkaz:
http://arxiv.org/abs/2308.05815