Found 2738 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Black hole shadow in the view of freely falling observers

For co-moving observers driven by cosmological constant in Schwarzschild-de Sitter space-time, we find that the angular radius of shadow could increase even when the observers move farther from the black hole. Expand abstract.
83 days ago
4/10 relevant
arXiv

Global well-posedness of cubic fractional Schr\"odinger equations in one dimension

In this paper, we consider the Cauchy's problem of global existence and scattering behavior of small, smooth, and localized solutions of cubic fractional Schr\"odinger equations in one dimension, \begin{equation*} \mathrm{i} \partial_t u- (-\Delta)^{\frac{\alpha}{2}} u=c_* Expand abstract.
84 days ago
4/10 relevant
arXiv

Locally interacting diffusions as space-time Markov random fields

We consider a countable system of interacting (possibly non-Markovian) stochastic differential equations driven by independent Brownian motions and indexed by the vertices of a locally finite graph $G = (V,E)$. Expand abstract.
84 days ago
10/10 relevant
arXiv

Recovering coercivity for the G-equation in general random media

The waiting time is explicitly characterized in terms of the space-time means of the velocity field and so mixing estimates on the waiting time can easily be derived. Expand abstract.
86 days ago
5/10 relevant
arXiv

A stochastic transport problem with L'evy noise: Fully discrete numerical approximation

Furthermore, the L\'evy process admits values in a possibly infinite-dimensional Hilbert space, hence projections into a finite-dimensional subspace for each discrete point in time are necessary. Expand abstract.
88 days ago
4/10 relevant
arXiv

A note on the electromagnetic irradiation in a holed spatial region -- a space-time approach

We study the role of the topological homological property of a space-time with holes (a multiple connected manifold) on the formal solutions of the electromagnetic irradiation problem taking place on theses "holed" space-times. Expand abstract.
88 days ago
10/10 relevant
arXiv

Space-efficient, Fast and Exact Routing in Time-dependent Road Networks

All existing techniques have a large index size, slow query running times, or may compute suboptimal paths. Expand abstract.
91 days ago
4/10 relevant
arXiv

Unsupervised Space-Time Clustering using Persistent Homology

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Expand abstract.
94 days ago
10/10 relevant
arXiv

From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals

We study a surprising phenomenon in which Feynman integrals in $D=4-2\varepsilon$ space-time dimensions as $\varepsilon \to 0$ can be fully characterized by their behavior in the opposite limit, $\varepsilon \to \infty$. Expand abstract.
94 days ago
4/10 relevant
arXiv

Spinning test particles in the $\gamma$ spacetime

We consider the motion of spinning particles in the field of a well known vacuum static axially-symmetric spacetime, known as $\gamma$ metric, that can be interpreted as a generalization of the Schwarzschild manifold to include prolate or oblate deformations. Expand abstract.
94 days ago
10/10 relevant
arXiv