12 citations · 20 across the 8 of their papers we have counts for
9 papers
Sharp lifespan results for plane-symmetric fluids on decelerated spacetimes
Maximilian Ofner, Todd Oliynyk
In this article, we analyze plane-symmetric solutions to the relativistic Euler equations on spatially flat spacetimes with decelerated expansion. We consider a linear equation of…
Inference for sparsely sampled Gauss-Markov processes under outcome-dependent dropout
Alexander Aue, Siegfried Hörmann, Maximilian Ofner
We consider sparsely observed functional data generated by a latent Gauss-Markov process modeled through a linear stochastic differential equation (SDE). Motivated by an applicatio…
A critical threshold for the cosmological Euler-Poisson system
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We consider the gravitational Euler-Poisson system with a linear equation of state on an expanding cosmological model of the Universe. The expansion of the spatial sections introdu…
Testing the Missing Completely at Random Assumption for Functional Data
Maximilian Ofner, Siegfried Hörmann, David Kraus +1
We consider functional data which have only been observed on a subset of their domain. This paper aims to develop statistical tests to determine whether the function and the domain…
Stability of fluids in spacetimes with decelerated expansion
David Fajman, Maximilian Ofner, Todd Oliynyk +1
We prove the nonlinear stability of homogeneous barotropic perfect fluid solutions in fixed cosmological spacetimes undergoing decelerated expansion. The results hold provided a sp…
Phase transition between shock formation and stability in cosmological fluids
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We demonstrate a novel phase transition from stable to unstable fluid behaviour for fluid-filled cosmological spacetimes undergoing decelerated expansion. This transition occurs wh…
Covariate-informed reconstruction of partially observed functional data via factor models
Maximilian Ofner, Siegfried Hörmann
This paper studies linear reconstruction of partially observed functional data which are recorded on a discrete grid. We propose a novel estimation approach based on approximate fa…
The Stability of Relativistic Fluids in Linearly Expanding Cosmologies
David Fajman, Maximilian Ofner, Todd A. Oliynyk +1
In this paper we study cosmological solutions to the Einstein--Euler equations. We first establish the future stability of nonlinear perturbations of a class of homogeneous solutio…
Slowly expanding stable dust spacetimes
David Fajman, Maximilian Ofner, Zoe Wyatt
We establish the future nonlinear stability of a large class of FLRW models as solutions to the Einstein-Dust system. We consider the case of a vanishing cosmological constant, whi…