We have shown that the typed hierarchy of hereditarily continuous and total functionals over the Urysohn space U is rich enough to contain all typed hierarchies over separable metric spaces as topological sub-hierarchies. One problem is if this can …

We are considering typed hierarchies of total, continuous functionals using complete, separable metric spaces at the base types. We pay special atten…

In [MR1907894], Boyle proved several factorization theorems for square matrices. These theorems are the key components to go from \operatorname{SL}_{\mathcal{P}}-equivalence to flow equivalence. In this section, we prove similar factorization theore…

We provide a complete classification of the class of unital graph $C^*$-algebras - prominently containing the full family of Cuntz-Krieger algebras -…

In this section we turn our attention to finding a Bismut-Elworthy-Li type formula, i.e. with the help of Proposition 3.12 we give a probabilistic representation of type (11) for ∂xE[Φ(XxT)] for functions Φ merely satisfying some integrability cond…

We investigate existence and uniqueness of strong solutions of mean-field stochastic differential equations with irregular drift coefficients. Our di…

The boundary of the convex hull of a compact algebraic curve in real 3-space defines a real algebraic surface. For general curves, that boundary surf…

A tropical complete intersection curve C in R^(n+1) is a transversal intersection of n smooth tropical hypersurfaces. We give a formula for the numbe…

If a droplet is placed on a substrate with a conical shape it spontaneously starts to spread in the direction of a growing fibre radius. We describe …

The purpose of this paper is to discuss representations of high order $C^0$ finite element spaces on simplicial meshes in any dimension. For high ord…

In electricity markets, it is sensible to use a two-factor model with mean reversion for spot prices. One of the factors is an Ornstein-Uhlenbeck (OU…

New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology f…

Compressed sensing is a technique for recovering an unknown sparse signal from a small number of linear measurements. When the measurement matrix is …

An interface of finite thickness that is elastic and deforms near a solid substrate in a viscous fluid is a situation relevant to various dynamical p…

A droplet that impacts onto a solid substrate deforms in a complex dynamics. To extract the principal mechanisms that dominate this dynamics we deplo…

For the space of $C^3$ quintics on the Powell-Sabin 12-split of a triangle, we determine explicitly the six symmetric simplex spline bases that reduc…

Neural networks have achieved dramatic improvements in recent years and depict the state-of-the-art methods for many real-world tasks nowadays. One d…

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We determine the structure of equilibrium states for a natural dynamics on the boundary quotient diagram of $C^*$-algebras for a large class of right…

To complete the paper, it remains to establish Lemmas 3.3–3.6, all related to properties of the averaging operators Af. Let f=[x0,x1,…,xm]∈Δm(T) be as above. Throughout this section we assume that 0≤m<n. If T∈Tf, and λ∈Scm, we also let

The purpose of this paper is to discuss the construction of a linear operator, referred to as the bubble transform, which maps scalar functions defin…

This paper studies a duopoly investment model with uncertainty. There are two alternative irreversible investments. The first firm to invest gets a m…

Clicking data, which exists in abundance and contains objective user preference information, is widely used to produce personalized recommendations i…

We present a new model for the electricity spot price dynamics, which is able to capture seasonality, low-frequency dynamics and the extreme spikes i…

Simultaneous Particle Image Velocimetry (PIV) measurements of stratified turbulent air/water flow in a horizontal pipe have been performed using wate…

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