Publications related to Well-Separated Spherical Designs

The Environment, constant or variable?

The presentation delves into the significance of the concept of the Environment in Architecture, examining whether the term could be construed as a constant or a variable. Supported by a series of examples from the Alpine context, it seeks to illuminate th ...

2024

A dependence of the cost of fast controls for the heat equation on the support of initial datum

Hoài-Minh Nguyên

The controllability cost for the heat equation as the control time

T

goes to 0 is well-known of the order

e^{C/T}

for some positive constant

C

, depending on the controlled domain and for all initial datum. In this paper, we prove that the constant $C ...

2021

A new regret analysis for Adam-type algorithms

Volkan Cevher, Ahmet Alacaoglu

In this paper, we focus on a theory-practice gap for Adam and its variants (AMSgrad, AdamNC, etc.). In practice, these algorithms are used with a constant first-order moment parameter 1 (typically between 0:9 and 0:99). In theory, regret guarantees for onl ...

2020

The Cost of Scaling a Reliable Interconnection Topology

Rachid Guerraoui, Alexandre David Olivier Maurer

In distributed computing, many papers try to evaluate the message complexity of a distributed system as a function of the number of nodes n. But what about the cost of building the distributed system itself? Assuming that we want to reliably connect n node ...

2020

Cost for a controlled linear KdV equation

Joachim Krieger, Shengquan Xiang

The controllability of the linearized KdV equation with right Neumann control is studied in the pioneering work of Rosier [25]. However, the proof is by contradiction arguments and the value of the observability constant remains unknown, though rich mathem ...

2019

Depth-averaged momentum equation for gravity currents with varying density: coefficient in pressure term

Mário Jorge Rodrigues Pereira Da Franca, Sara Venuleo

Gravity currents are often modelled by means of shallow water equations (SWEs). In these models, simplifications such as the consideration of a constant layer-averaged density are common. This note presents the complete and general derivation of a 2D depth ...

2018

The second order pullback equation

Bernard Dacorogna, Olivier Kneuss, Gyula Csató

Let f, g be two closed k-forms over R-n. The pullback equation studies the existence of a diffeomorphism phi : R-n -> R-n such that phi*(g) = f. We prove two types of results. The first one sharpens some of the existing regularity results. The second one d ...

Springer2014

A deep-blue emitting charged bis-cyclometallated iridium(III) complex for light-emitting electrochemical cells

Michael Graetzel, Mohammad Khaja Nazeeruddin, Rosario Scopelliti

We report here a new cationic bis-cyclometallated iridium(III) complex, 1, with deep-blue emission at 440 nm and its use in Light-emitting Electrochemical Cells (LECs). The design is based on the 2',6'-difluoro-2,3'-bipyridine skeleton as the cyclometallat ...

Royal Society of Chemistry2013

Scale-invariant alternatives to general relativity

Diego Blas Temino

We study the general class of gravitational field theories constructed on the basis of scale invariance (and therefore absence of any mass parameters) and invariance under transverse diffeomorphisms, which are the 4-volume conserving coordinate transformat ...

2011

Reprint of: Weak epsilon-nets have basis of size O(1/epsilonlog(1/epsilon)) in any dimension

Given a set P of n points in R-d and epsilon > 0, we consider the problem of constructing weak E-nets for P. We show the following: pick a random sample Q of size O(1/epsilon log(1/epsilon)) from P. Then, with constant probability, a weak epsilon-net of P ...

2010

Well-Separated Spherical Designs

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The Environment, constant or variable?

A dependence of the cost of fast controls for the heat equation on the support of initial datum

A new regret analysis for Adam-type algorithms

The Cost of Scaling a Reliable Interconnection Topology

Cost for a controlled linear KdV equation

Depth-averaged momentum equation for gravity currents with varying density: coefficient in pressure term

The second order pullback equation

A deep-blue emitting charged bis-cyclometallated iridium(III) complex for light-emitting electrochemical cells

Scale-invariant alternatives to general relativity

Reprint of: Weak epsilon-nets have basis of size O(1/epsilonlog(1/epsilon)) in any dimension

Depth-averaged momentum equation for gravity currents with varying density: coefficient in pressure term

A dependence of the cost of fast controls for the heat equation on the support of initial datum

The Environment, constant or variable?

Cost for a controlled linear KdV equation

Reprint of: Weak epsilon-nets have basis of size O(1/epsilonlog(1/epsilon)) in any dimension

The second order pullback equation

A new regret analysis for Adam-type algorithms

A deep-blue emitting charged bis-cyclometallated iridium(III) complex for light-emitting electrochemical cells

The Cost of Scaling a Reliable Interconnection Topology

Scale-invariant alternatives to general relativity