Publications related to Open set

Stable blow up dynamics for energy supercritical wave equations

We study the semilinear wave equation

\displaystyle \partial _t^2 \psi -\Delta \psi =\vert\psi \vert^{p-1}\psi

for

p > 3

with radial data in three spatial dimensions. There exists an explicit solution which blows up at

t=T>0

given by $\displaystyl ...

American Mathematical Society2014

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Martins Bruveris, Martin Bauer

In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homogeneous Sobolev metric of order one is a flat space in the sense of Riemannian geometry, as it is isometric to an ...

Springer Verlag2014

Optimal Swarm Formation for Odor Plume Finding

Ali Marjovi

This paper presents an analytical approach to the problem of odor plume finding by a network of swarm robotic gas sensors, and finds an optimal configuration for them, given a set of assumptions. Considering cross-wind movement for the swarm, we found that ...

Institute of Electrical and Electronics Engineers2014

NMR Signatures of the Active Sites in Sn-beta Zeolite

David Lyndon Emsley, Aaron James Rossini

Dynamic nuclear polarization surface enhanced NMR (DNP-SENS), Mossbauer spectroscopy, and computational chemistry were combined to obtain structural information on the active-site speciation in Sn-beta zeolite. This approach unambiguously shows the presenc ...

2014

Global dynamics away from the ground state for the energy-critical nonlinear wave equation

Joachim Krieger

We study global behavior of radial solutions for the nonlinear wave equation with the focusing energy critical nonlinearity in three and five space dimensions. Assuming that the solution has energy at most slightly more than the ground states and gets away ...

2013

Sequential Group Testing with Graph Constraints

Amin Karbasi, Morteza Zadimoghaddam

In conventional group testing, the goal is to detect a small subset of defecting items

\mathcal{D}

in a large population

\mathcal{N}

by grouping \textit{arbitrary} subset of

\mathcal{N}

into different pools. The result of each group test $\mathcal{T} ...

Ieee2012

Reduced Basis Methods for the Solution of Parametrized PDEs in Repetitive and Complex Networks with Application to CFD

Laura Iapichino

The objective of this work is to develop a numerical framework to perform rapid and reliable simulations for solving parametric problems in domains represented by networks and to extend the classical reduced basis method. Aimed at this scope, we propose tw ...

EPFL2012

Of Choices, Failures and Asynchrony: The Many Faces of Set Agreement

Rachid Guerraoui, Seth Gilbert, Dan Alistarh

Set agreement is a fundamental problem in distributed computing in which processes collectively choose a small subset of values from a larger set of proposals. The impossibility of fault-tolerant set agreement in asynchronous networks is one of the seminal ...

2012

A Global Version Of The Darboux Theorem With Optimal Regularity And Dirichlet Condition

Bernard Dacorogna, Olivier Kneuss

Let n > 2 be even; r >= 1 be an integer; 0 < alpha < 1; Omega be a bounded, connected, smooth, open set in R-n; and nu be its exterior unit normal. Let f, g is an element of C-r,C-alpha((Omega) over bar; Lambda(2)) be two symplectic forms (i.e., closed and ...

2011

The Exact Hausdorff Measure of the Zero Set of Fractional Brownian Motion

Thomas Mountford, Driss Baraka

Let {X(t), t is an element of R-N} be a fractional Brownian motion in R-d of index H. If L(0,I) is the local time of X at 0 on the interval I subset of R-N, then there exists a positive finite constant c(=c(N,d,H)) such that ...

Springer US2011

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Stable blow up dynamics for energy supercritical wave equations

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Optimal Swarm Formation for Odor Plume Finding

NMR Signatures of the Active Sites in Sn-beta Zeolite

Global dynamics away from the ground state for the energy-critical nonlinear wave equation

Sequential Group Testing with Graph Constraints

Reduced Basis Methods for the Solution of Parametrized PDEs in Repetitive and Complex Networks with Application to CFD

Of Choices, Failures and Asynchrony: The Many Faces of Set Agreement

A Global Version Of The Darboux Theorem With Optimal Regularity And Dirichlet Condition

The Exact Hausdorff Measure of the Zero Set of Fractional Brownian Motion

Stable blow up dynamics for energy supercritical wave equations

Of Choices, Failures and Asynchrony: The Many Faces of Set Agreement

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Global dynamics away from the ground state for the energy-critical nonlinear wave equation

NMR Signatures of the Active Sites in Sn-beta Zeolite

Reduced Basis Methods for the Solution of Parametrized PDEs in Repetitive and Complex Networks with Application to CFD

A Global Version Of The Darboux Theorem With Optimal Regularity And Dirichlet Condition

The Exact Hausdorff Measure of the Zero Set of Fractional Brownian Motion

Sequential Group Testing with Graph Constraints

Optimal Swarm Formation for Odor Plume Finding