In this section, we want to compare our results to the literature and we discuss some instructive special cases of our assumptions. First, we want to mention, that Roach, Stratis and Yannacopoulus already treated our equation in the deterministic s…

We study the Cauchy problem for a semilinear stochastic Maxwell equation with Kerr-type nonlinearity and a retarded material law. We show existence a…

In this section we let X be a proper Hadamard space and Γ<Is(X) a discrete rank one group with ZΓ≠∅. We fix a base point o∈X with trivial stabilizer in Γ. Recall that the orbit counting function with respect to x, y∈X is defined by

Let $X$ be a proper, geodesically complete Hadamard space, and $\ \Gamma<\mbox{Is}(X)$ a discrete subgroup of isometries of $X$ with the fixed point …

Motivated by recent experiments, which demonstrated lasing and cooling of the electromagnetic modes in a resonator coupled to a superconducting qubit…

We derive the outage capacity of a bursty version of the amplify-and-forward (BAF) protocol for small signal-to-noise ratios when incremental relayin…

In the light of energy conservation and the expansion of existing networks, wireless networks face the challenge of nodes with heterogeneous transmis…

We presented a language adaptation method for multilingual RNN/CTC based speech recognition systems. It enables systems with a multilingual acoustic model to not only achieve parity with monolingual systems, but also to improve beyond the monolingua…

Multilingual Speech Recognition is one of the most costly AI problems, because each language (7,000+) and even different accents require their own ac…

Let $X_1,X_2,\ldots $ be independent random variables observed sequentially and such that $X_1,\ldots,X_{\theta-1}$ have a common probability density…

Practical wireless networks are finite, and hence non-stationary with nodes typically non-homo-geneously deployed over the area. This leads to a loca…

Consider a Boolean model in $\R^d$ with balls of random, bounded radii with distribution $F_0$, centered at the points of a Poisson process of intens…

Attribute based knowledge transfer has proven very successful in visual object analysis and learning previously unseen classes. However, the common a…

We study the interference and outage statistics in a slotted Aloha ad hoc network, where the spatial distribution of nodes is non-stationary and isot…

The Tunka Radio Extension (Tunka-Rex) is an array of 44 radio antenna stations, distributed over 3 km$^{2}$, constituting a radio detector for air sh…

Knowledge about the location of a vehicle is indispensable for autonomous driving. In order to apply global localisation methods, a pose prior must b…

Functional magnetic resonance imaging (fMRI) is now a well-established technique for studying the brain. However, in many situations, such as when da…

A cut tree (or Gomory-Hu tree) of an undirected weighted graph G=(V,E) encodes a minimum s-t-cut for each vertex pair {s,t} \subseteq V and can be it…

In the last two years the renormalization group functions for the couplings and fields of the Standard Model have been computed at three-loop level. …

Metallic antiferromagnets with noncollinear orientation of magnetic moments provide a playground for investigating spin-dependent transport propertie…

Using supporting backchannel (BC) cues can make human-computer interaction more social. BCs provide a feedback from the listener to the speaker indic…

We propose a multi-index algorithm for the Monte Carlo discretization of a linear, elliptic PDE with affine-parametric input. We prove an error vs. w…

Certain remnants of a quantum spacetime foam can be modeled by a distribution of defects embedded in a flat classical spacetime. The presence of such…

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