Publications related to Maximal and minimal elements

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Let

G

be a simple linear algebraic group over an algebraically closed field

K

of characteristic

p \geq 0

. In this thesis, we investigate closed connected reductive subgroups

X < G

that contain a given distinguished unipotent element

u

of

G

. Our ...

EPFL2018

Coupled Atomistics and Discrete Dislocations in 3d (CADD-3d)

Jean-François Molinari, William Curtin, Guillaume Anciaux, Till Junge, Jaehyun Cho, Max Ludwig Hodapp

Capturing plasticity at realistic dislocation densities with high configurational complexity requires a continuum-leveldiscrete dislocation dynamics (DDD) description. However, many features controlling dislocation motion areinherently atomistic, such as t ...

2018

Exponentially long orbits in Hopfield neural networks

Wulfram Gerstner, Johanni Michael Brea, Samuel Pavio Muscinelli

We show that Hopfield neural networks with synchronous dynamics and asymmetric weights admit stable orbits that form sequences of maximal length. For N units, these sequences have length T = 2^N; that is, they cover the full state space. We present a mathe ...

Massachusetts Institute of Technology Press2017

Junction chamber at vortex drop shaft: case study of Cossonay

Michael Pfister, Corrado Gisonni, David Dorthe, Gaetano Crispino, Thierry Fuchsmann

The drainage network of the city of Cossonay (Switzerland) is currently being adapted for future needs. In particular, it is required to drain increased storm discharges due to a population augmentation and to provide an adequate concept to overcome unfavo ...

2016

Aerial Locomotion in Cluttered Environments

Dario Floreano, Mirko Kovac, Jean-Christophe Zufferey, Adam Klaptocz, Jürg Markus Germann

Many environments where robots are expected to operate are cluttered with objects, walls, debris, and different horizontal and vertical structures. In this chapter, we present four design features that allow small robots to rapidly and safely move in 3 dim ...

Springer-Verlag Berlin2016

A fast charge-dependent atom-pairwise dispersion correction for DFTB3

Riccardo Petraglia

Organic electronic materials remarkably illustrate the importance of the "weak" dispersion interactions that are neglected in the most cost-efficient electronic structure approaches. This work introduces a fast atom-pairwise dispersion correction, dDMC tha ...

Wiley-Blackwell2015

Parallel algorithm for multiscale atomistic/continuum simulations using LAMMPS

William Curtin, Fabio Pavia

Deformation and fracture processes in engineering materials often require simultaneous descriptions over a range of length and time scales, with each scale using a different computational technique. Here we present a high-performance parallel 3D computing ...

Iop Publishing Ltd2015

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Nicola Marzari, Giovanni Pizzi

wannier90 is a program for calculating maximally-localised Wannier functions (MLWFs) from a set of Bloch energy bands that may or may not be attached to or mixed with other bands. The formalism works by minimising the total spread of the MLWFs in real spac ...

Elsevier Science Bv2014

Multi-level preconditioner for solving the Navier-Stokes equations in hemodynamics applications

Dana Christen

We present a multi-level algorithm to approximate the inverse of the fluid block in a Navier-Stokes saddle-point matrix where the coarse level is defined as a restriction of the degrees of freedom to those of lower order finite elements. A one-level scheme ...

2013

Intersection Patterns of Edges in Topological Graphs

Radoslav Fulek

This thesis is devoted to crossing patterns of edges in topological graphs. We consider the following four problems: A thrackle is a graph drawn in the plane such that every pair of edges meet exactly once: either at a common endpoint or in a proper crossi ...

EPFL2012

Maximal and minimal elements

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Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Coupled Atomistics and Discrete Dislocations in 3d (CADD-3d)

Exponentially long orbits in Hopfield neural networks

Junction chamber at vortex drop shaft: case study of Cossonay

Aerial Locomotion in Cluttered Environments

A fast charge-dependent atom-pairwise dispersion correction for DFTB3

Parallel algorithm for multiscale atomistic/continuum simulations using LAMMPS

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Multi-level preconditioner for solving the Navier-Stokes equations in hemodynamics applications

Intersection Patterns of Edges in Topological Graphs

Aerial Locomotion in Cluttered Environments

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Coupled Atomistics and Discrete Dislocations in 3d (CADD-3d)

Exponentially long orbits in Hopfield neural networks

A fast charge-dependent atom-pairwise dispersion correction for DFTB3

Junction chamber at vortex drop shaft: case study of Cossonay

Parallel algorithm for multiscale atomistic/continuum simulations using LAMMPS

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Multi-level preconditioner for solving the Navier-Stokes equations in hemodynamics applications

Intersection Patterns of Edges in Topological Graphs