Publications related to Daily streamflow analysis based on a two-scaled gamma pulse model

Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion

François Gallaire, Edouard Boujo, Yves-Marie François Ducimetière

We consider fluid flows, governed by the Navier-Stokes equations, subject to a steady symmetry-breaking bifurcation and forced by a weak noise acting on a slow timescale. By generalizing the multiple-scale weakly nonlinear expansion technique employed in t ...

2024

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

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 impact of hydrograph variability and frequency on sediment transport dynamics in a gravel-bed flume

Mário Jorge Rodrigues Pereira Da Franca, Carmelo Juez Jiménez

A laboratory study was undertaken to investigate how changes in flow regime and hydrograph shape (number of cycled hydrographs and duration of each hydrograph) together impact bedload transport and resulting bed morphology. Three hydrologic conditions (exp ...

WILEY2019

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

Snowmelt observations at the slope scale and implications for the catchment response using the Alpine3D model

Michael Lehning, Wolf Hendrik Huwald, Ernesto Trujillo Gomez, Tristan Jonas Brauchli

Snowpack and especially its melt during spring is a crucial resource for water availability in mountainous regions. A better understanding of the processes and their representation in hydrological models is therefore necessary for different purposes, such ...

2016

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Timm Faulwasser

The present contribution demonstrates the applicability of polynomial chaos expansion to stochastic (optimal) AC power flow problems that arise in the operation of power grids. For rectangular power flow, polynomial chaos expansion together with Galerkin p ...

IEEE2016

Hydrological Processes in a High Alpine Watershed

Raphaël Mutzner

Alpine hydrology is particularly challenging due to the complexity of mountainous terrain and the spatial and temporal variability of meteorological parameters such as precipitation, temperature and evaporation. Yet improving our understanding of hydrologi ...

EPFL2015

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

Daily streamflow analysis based on a two-scaled gamma pulse model

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Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion

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

Statistical Aspects of Wasserstein Distances

The impact of hydrograph variability and frequency on sediment transport dynamics in a gravel-bed flume

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

Snowmelt observations at the slope scale and implications for the catchment response using the Alpine3D model

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Hydrological Processes in a High Alpine Watershed

Interactive Design of Probability Density Functions for Shape Grammars

Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion

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

Statistical Aspects of Wasserstein Distances

The impact of hydrograph variability and frequency on sediment transport dynamics in a gravel-bed flume

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

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Snowmelt observations at the slope scale and implications for the catchment response using the Alpine3D model

Hydrological Processes in a High Alpine Watershed

Interactive Design of Probability Density Functions for Shape Grammars