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Abstract. Maximizing the quality index modularity has become one of the primary methods for identifying the clustering structure within a graph. As contemporary networks are not static but evolve over time, traditional static approaches can be inappropriate for specific tasks. In this work we pioneer the NP-hard problem of online dynamic modularity… (More)

We consider the distribution of the maximum MT of branching Brownian motion with time-inhomogeneous variance of the form σ(t/T ), where σ(·) is a strictly decreasing function. This corresponds to the study of the time-inhomogeneous Fisher–KolmogorovPetrovskii-Piskunov (FKPP) equation Ft(x, t) = σ (1− t/T )Fxx(x, t)/2 + g(F (x, t)), for appropriate… (More)

- Pascal Maillard
- 2017

- Pascal Maillard, Lionel Flaction, Evren Samur, David Hellier, Josh Passenger, Hannes Bleuler
- Conference proceedings : ... Annual International…
- 2008

This paper describes the instrumentation of a clinical colonoscope needed for a novel colonoscopy simulation framework. The simulator consists of a compact and portable haptic interface and a virtual reality environment to provide real-time visualization. The proposed instrumentation enables tracking different functions of the colonoscope while keeping the… (More)

- Robert Görke, Pascal Maillard, Andrea Schumm, Christian Staudt, Dorothea Wagner
- ACM Journal of Experimental Algorithmics
- 2013

Maximizing the quality index <i>modularity</i> has become one of the primary methods for identifying the clustering structure within a graph. Since many contemporary networks are not static but evolve over time, traditional static approaches can be inappropriate for specific tasks. In this work, we pioneer the NP-hard problem of online dynamic modularity… (More)

- Pascal Maillard
- 2013

We call a point process Z on R exp-1-stable if for every α, β ∈ R with e + e = 1, Z is equal in law to TαZ + TβZ , where Z ′ is an independent copy of Z and Tx is the translation by x. Such processes appear in the study of the extremal particles of branching Brownian motion and branching random walk and several authors have proven in that setting the… (More)

We consider a system of N particles on the real line that evolves through iteration of the following steps: 1) every particle splits into two, 2) each particle jumps according to a prescribed displacement distribution supported on the positive reals and 3) only the N right-most particles are retained, the others being removed from the system. This system… (More)

(Oxy)nitride materials have attractive properties directly related to the role played by nitrogen. A commonly used synthesis method consists of the thermal nitridation of an oxide precursor in flowing ammonia. As a consequence of the anionic N3-/O2substitution results an increase in the covalent character, illustrated by a shift of the absorption edge… (More)

- Pascal Maillard, Ofer Zeitouni
- ArXiv
- 2013

Consider a d-ary rooted tree (d≥ 3) where each edge e is assigned an i.i.d. (bounded) random variable X(e) of negative mean. Assign to each vertex v the sum S(v) of X(e) over all edges connecting v to the root, and assume that the maximum S n of S(v) over all vertices v at distance n from the root tends to infinity (necessarily, linearly) as n tends to… (More)

The replacement of tantalum by the couple Zr/W within the RTa-O-N systems (R = Y, Nd, Sm, Gd, Yb), enables the preparation of novel oxide and oxynitride phases in the R-Zr-W-O-N system. R2Zr2-xWxO7+x oxides exhibit the fluorite-type (x<0.9) and scheelite (x 1) structures. Corresponding oxynitride compositions are of the fluorite type and show different… (More)

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