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

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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

Chat with Graph Search

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

Structure of a model TiO2 photocatalytic interface

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

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

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

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

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

Detecting whether a stochastic process is finitely expressed in a basis

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

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

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

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

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

Topological Linear System Identification via Moderate Deviations Theory

Physics of optically driven nanojunctions

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

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

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