Publications related to Universal statistical properties of drift-interchange turbulence in TORPEX plasmas

On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls

Daniel Kuhn, Zhi Chen, Wolfram Wiesemann

Distributionally robust chance constrained programs minimize a deterministic cost function subject to the satisfaction of one or more safety conditions with high probability, given that the probability distribution of the uncertain problem parameters affec ...

2022

On the numerical simulation of a confined cavitating tip leakage vortex under geometrical and operational uncertainties

Mohamed Farhat

The effects of operational and geometrical uncertainties on Tip Leakage Vortex (TLV) characteristics are investigated in the current research. Geometrical uncertainties are comprised of manufacturing tolerances or gradual geometry degradation over the time ...

PERGAMON-ELSEVIER SCIENCE LTD2021

A birth-death-migration model for life in astrophysical environments

Claudio Grimaldi

To assess the number of life-bearing worlds in astrophysical environments, it is necessary to take the intertwined processes of abiogenesis (birth), extinction (death), and transfer of life (migration) into account. We construct a mathematical model that i ...

OXFORD UNIV PRESS2021

On the density of the supremum of the solution to the linear stochastic heat equation

Robert Dalang, Fei Pu

We study the regularity of the probability density function of the supremum of the solution to the linear stochastic heat equation. Using a general criterion for the smoothness of densities for locally nondegenerate random variables, we establish the smoot ...

SPRINGER2020

Global turbulence features across marginality and non-local pedestal-core interactions

Olivier Sauter, Laurent Villard, Stephan Brunner, Emmanuel Lanti, Alberto Bottino, Ben McMillan, Noé Thomas Elie Ohana

Spatially non-local aspects of turbulent transport in tokamak plasmas are examined with global gyrokinetic simulations using the ORB5 code. Inspired by very accurate measurements in the TCV tokamak in L-mode, we initialise plasma profiles with constant log ...

2019

Statistical Aspects of Wasserstein Distances

Victor Panaretos, Yoav Zemel

Wasserstein distances are metrics on probability distributions inspired by the problem of optimal mass transportation. Roughly speaking, they measure the minimal effort required to reconfigure the probability mass of one distribution in order to recover th ...

ANNUAL REVIEWS2019

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Fei Pu

In this thesis, we study systems of linear and/or non-linear stochastic heat equations and fractional heat equations in spatial dimension

1

driven by space-time white noise. The main topic is the study of hitting probabilities for the solutions to these ...

EPFL2018

Interactive Design of Probability Density Functions for Shape Grammars

Mark Pauly, Duygu Ceylan, Boris Neubert, Stefan Lienhard

A shape grammar defines a procedural shape space containing a variety of models of the same class, e.g. buildings, trees, furniture, airplanes, bikes, etc. We present a framework that enables a user to interactively design a probability density function (p ...

Assoc Computing Machinery2015

Statistical analysis and modeling of intermittent transport events in the tokamak scrape-off layer

Ivo Furno, Paolo Ricci, Federico David Halpern

The turbulence observed in the scrape-off-layer of a tokamak is often characterized by intermittent events of bursty nature, a feature which raises concerns about the prediction of heat loads on the physical boundaries of the device. It appears thus necess ...

2014

Compressed Sensing of Memoryless Sources

Saeid Haghighatshoar

Compressed sensing is a new trend in signal processing for efficient sampling and signal acquisition. The idea is that most real-world signals have a sparse representation in an appropriate basis and this can be exploited to capture the sparse signal by ta ...

EPFL2014

Universal statistical properties of drift-interchange turbulence in TORPEX plasmas

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On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls

On the numerical simulation of a confined cavitating tip leakage vortex under geometrical and operational uncertainties

A birth-death-migration model for life in astrophysical environments

On the density of the supremum of the solution to the linear stochastic heat equation

Global turbulence features across marginality and non-local pedestal-core interactions

Statistical Aspects of Wasserstein Distances

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Interactive Design of Probability Density Functions for Shape Grammars

Statistical analysis and modeling of intermittent transport events in the tokamak scrape-off layer

Compressed Sensing of Memoryless Sources

Global turbulence features across marginality and non-local pedestal-core interactions

On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls

On the numerical simulation of a confined cavitating tip leakage vortex under geometrical and operational uncertainties

A birth-death-migration model for life in astrophysical environments

Interactive Design of Probability Density Functions for Shape Grammars

Compressed Sensing of Memoryless Sources

On the density of the supremum of the solution to the linear stochastic heat equation

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Statistical Aspects of Wasserstein Distances

Statistical analysis and modeling of intermittent transport events in the tokamak scrape-off layer