Many touchings force many crossings

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In this work the differences in R-curve response and traction-separation relations due to a finite damage zone or large-scale bridging (LSB) in mode I fracture on double cantilever beams (DCB) were investigated under end opening forces (EOF) and pure momen ...

In condensed matter systems, the atoms, electrons or spins can sometimes arrange themselves in ways that result in unexpected properties but that cannot be detected by conventional experimental probes. Several historical and contemporary examples of such h ...

Although ‘arrival infrastructure’ is central to the experience of migrants arriving in a new city, is it sufficient to form a ‘hospitable milieu’? Our article compares newcomers’ experiences with ‘arrival infrastructure’ in two European cities: Brussels an ...

In order to describe magnetogenesis during inflation in the kinetic coupling model, we utilize a gradient expansion which is based on the fact that only long-wavelength (superhorizon) modes undergo amplification. For this purpose, we introduce a set of fun ...

An integer program (IP) is a problem of the form

\min \{f(x) : \, Ax = b, \ l \leq x \leq u, \ x \in \Z^n\}

, where

A \in \Z^{m \times n}

b \in \Z^m

l,u \in \Z^n

, and

f: \Z^n \rightarrow \Z

is a separable convex objective function. The problem o ...

This dissertation investigates the amenability of topological full groups using a property of group actions called extensive amenability. Extensive amenability is a core concept of several amenability results for groups of dynamical origin. We study its pr ...

We investigate the representation theory of finite sets. The correspondence functors are the functors from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. They have various specific properties wh ...

We construct a finitely presented, infinite, simple group that acts by homeomorphisms on the circle, but does not admit a non-trivial action by C1-diffeomorphisms on the circle. This is the first such example. The group emerges as a group of piecewise proj ...

We explore a few algebraic and geometric structures, through certain questions posed by modern cryptography. We focus on the cases of discrete logarithms in finite fields of small characteristic, the structure of isogeny graphs of ordinary abelian varietie ...

In this thesis, we study two distinct problems. The first problem consists of studying the linear system of partial differential equations which consists of taking a k-form, and applying the exterior derivative 'd' to it and add the wedge product with a 1- ...

An ordinary circle of a set P of n points in the plane is defined as a circle that contains exactly three points of P. We show that if P is not contained in a line or a circle, then P spans at least ordinary circles. Moreover, we determine the exact minimu ...

Nature and technical applications abound with thin viscous flows, ranging from the lava flow on volcanoes to the lubricating layer around confined bubbles in the microchannels of Lab-on-a-Chip devices. Countless are the examples where coating flows arise i ...

Many touchings force many crossings

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Variations on R-curves and traction-separation relations in DCB specimens loaded under end opening forces or pure moments

Hidden, entangled and resonating order

Between Hospitality and Inhospitality: The Janus-Faced 'Arrival Infrastructure'

Gradient expansion formalism for magnetogenesis in the kinetic coupling model

New Results in Integer and Lattice Programming

Extensive amenability and a Tits alternative for topological full groups

Correspondence functors and finiteness conditions

A finitely presented infinite simple group of homeomorphisms of the circle

Arithmetic and geometric structures in cryptography

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

On Sets Defining Few Ordinary Circles

Pattern formation in thin liquid films: from coating-flow instabilities to microfluidic droplets