Publications associées à Cauchy Processes, Dissipative Benjamin–Ono Dynamics and Fat-Tail Decaying Solitons

Publications associées (18)

Navigating the Loop: From Control Systems to Neural Networks and Back

The work presented in this thesis lies at the intersection of Machine Learning (ML) and control theory. The first part is dedicated to the design of Deep Neural Network (DNN) architectures with specific numerical properties, inspired by dynamical systems m ...

EPFL2024

Structure of a model TiO2 photocatalytic interface

Gabriele Tocci

The interaction of water with TiO2 is crucial to many of its practical applications, including photocatalytic water splitting. Following the first demonstration of this phenomenon 40 years ago there have been numerous studies of the rutile single-crystal T ...

Nature Publishing Group2017

Complex-order scale-invariant operators and self-similar processes

Michaël Unser, Julien René Fageot

In this paper, we perform the joint study of scale -invariant operators and self -similar processes of complex order. More precisely, we introduce general families of scale -invariant complex -order fractional -derivation and integration operators by const ...

Academic Press Inc Elsevier Science2024

The Hamiltonian of the harmonic oscillator with an attractive delta '-interaction centred at the origin as approximated by the one with a triple of attractive delta-interactions

In this note we provide an alternative way of defining the self-adjoint Hamiltonian of the harmonic oscillator perturbed by an attractive delta'-interaction, of strength beta, centred at 0 (the bottom of the confining parabolic potential), that was rigorou ...

Iop Publishing Ltd2016

Coupled models for integrated heart simulations: a numerical study of the fluid dynamics in the left ventricle

Alfio Quarteroni, Simone Deparis, Luca Dede', Davide Forti, Antonello Gerbi

We consider the numerical simulation of integrated heart models for the study of the cardiac functioning with particular emphasis on the coupling of the muscle contraction, the fluid dynamics of the left ventricle, and the interaction with the valves. We a ...

CMBE, Zeta Computational Resources Ltd.2015

Cloud-Savvy Contextual Spaces as Agile Personal Learning Environments or Informal Knowledge Management Solutions

Denis Gillet, Evgeny Bogdanov

This paper presents how advanced social media platforms can be exploited to construct and share contextual spaces enabling the instantiation of agile personal learning environments or informal knowledge management solutions. The usefulness of open plugins ...

2013

Dislocation-void interaction in Fe: a comparison between molecular dynamics and dislocation dynamics

Robin Schäublin, Seyed Masood Hafez Haghighat

Multiscale modeling, including molecular dynamics (MD) and discrete dislocation dynamics (DDD) methods, appears as a signiﬁcant tool for the description of plasticity and mechanical properties of materials. This research concerns the inﬂuence of irradiatio ...

2009

Detecting whether a stochastic process is finitely expressed in a basis

Victor Panaretos, Neda Mohammadi Jouzdani

Is it possible to detect if the sample paths of a stochastic process almost surely admit a finite expansion with respect to some/any basis? The determination is to be made on the basis of a finite collection of discretely/noisily observed sample paths. We ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction

Alfio Quarteroni

The interaction between a fluid and a poroelastic structure is a complex problem that couples the Navier-Stokes equations with the Biot system. The finite element approximation of this problem is involved due to the fact that both subproblems are indefinit ...

Elsevier2009

Error handling in multimodal voice-enabled interfaces of tour-guide robots using graphical models

Plamen Prodanov

Mobile service robots are going to play an increasing role in the society of humans. Voice-enabled interaction with service robots becomes very important, if such robots are to be deployed in real-world environments and accepted by the vast majority of pot ...

EPFL2006

Scaling of dynamics with the range of interaction in short-range attractive colloids

Giuseppe Foffi

We numerically study the dependence of the dynamics on the range of interaction Δ for the short-range square well potential. We find that, for small Δ, dynamics scale exactly in the same way as thermodynamics, both for Newtonian and Brownian microscopic dy ...

2005

Assessing the persistence of chalcogen bonds in solution with neural network potentials

Anne-Clémence Corminboeuf, Rubén Laplaza Solanas, Veronika Juraskova, Frédéric Célerse

Non-covalent bonding patterns are commonly harvested as a design principle in the field of catalysis, supramolecular chemistry, and functional materials to name a few. Yet, their computational description generally neglects finite temperature and environme ...

2022

Multivalent Pattern Recognition Through Engineering of Spatial Tolerance in DNA-Based Nanomaterials

Hale Bila

Strength in numbers, combining many weak interactions into an overall strong connection, is the fundamental principle of multivaleny. This concept has been exploiting for the engineering of super-selective cell-targeting materials, which generally display ...

EPFL2022

Topological Linear System Identification via Moderate Deviations Theory

Daniel Kuhn, Wouter Jongeneel, Tobias Sutter

Two dynamical systems are topologically equivalent when their phase-portraits can be morphed into each other by a homeomorphic coordinate transformation on the state space. The induced equivalence classes capture qualitative properties such as stability or ...

2022

Physics of optically driven nanojunctions

Philippe Andreas Rölli

Recent years have seen spectacular developments in the domain of nano-optics. Alongside the well-known techniques of super-resolution microscopy progress in nanofabrication has enabled important improvements in the fields of optical imaging and spectros ...

EPFL2020

The Reduced Immersed Method for Real-Time Fluid-Elastic Solid Interaction and Contact Simulation

Christopher Brandt

We introduce the Reduced Immersed Method (RIM) for the real-time simulation of two-way coupled incompressible fluids and elastic solids and the interaction of multiple deformables with (self-)collisions. Our framework is based on a novel discretization of ...

2019

Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

Michaël Unser, Julien René Fageot

Consider a random process s that is a solution of the stochastic differential equation Ls = w with L a homogeneous operator and w a multidimensional Levy white noise. In this paper, we study the asymptotic effect of zooming in or zooming out of the process ...

2019

Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain

Elisabeth Agoritsas

As an extension of the isotropic setting presented in the companion paper Agoritsas et al (2019 J. Phys. A: Math. Theor. 52 144002), we consider the Langevin dynamics of a many-body system of pairwise interacting particles in d dimensions, submitted to an ...

2019