Concept

One-sided limit

Related publications (28)

Vector-Valued Gaussian Free Field Conditioned to Avoid a Ball: Entropic Repulsion of the Norm and Freezing of Spins

We study the laws of the two-dimensional vector-valued Dirichlet Gaussian free field and its massive lattice counterpart, conditioned to avoid a ball at every site of a subdomain. We prove that, under this conditioning, the norm of the massless field exhibits entropic repulsion, while its angular components freeze at all mesoscopic scales. A key step in the analysis is showing that around any given point in the bulk of the range, the unconditioned field has no holes. In the massive case, the conditioned fie

Oxford University Press2026

Standing wave solutions of a quasilinear Schrödinger equation. Part I: The low frequency limit

François Samer Genoud

This article is concerned with the quasilinear Schrödinger equation

\Delta u-\omega u+|u|^{p-1}u+\delta \Delta (|u|^2)u=0,

Δ u - ω u + | u | p - 1 u + δ Δ ( | u | 2 ) u = 0 , where

\delta >0

N=2

and

p>1

N\geqslant 3

and $1

Springer Science and Business Media LLC2026

Refined approach to cellularization: Going from Heller’s thawed Gaussian approximation to Herman–Kluk’s initial value representation

We present a refined cellularization (Filinov filtering) scheme for the semiclassical Herman–Kluk propagator, which employs the inverse Weierstrass transform and optimal scaling of the cell size with the number of cells and was previously used only in the context of the dephasing representation. In the new methodology, the sampling density for the cell centers correlates with the cell size, allowing for an effective sampling of the phase space covered by the initial state of the system. The main advantage o

AIP Publishing2025

Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate

Nonlocal conservation laws (the signature feature being that the flux function depends on the solution through the convolution with a given kernel) are extensively used in the modeling of vehicular traffic. In this work we discuss the singular local limit, namely the convergence of the nonlocal solutions to the entropy admissible solution of the conservation law obtained by replacing the convolution kernel with a Dirac delta. While recent counter-examples rule out convergence in the general case, in the spe

Springer2023

Stability of optimal traffic plans in the irrigation problem

We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This result goes beyond the Eulerian stability proved in [7], extending it to the Lagrangian framework.

American Institute of Mathematical Sciences2022

MATHICSE Technical Report : Generalized Parallel Tempering on Bayesian Inverse Problems

Fabio Nobile

In the current work we present two generalizations of the Parallel Tempering algorithm, inspired by the so-called continuous-time Infinite Swapping algorithm. Such a method, found its origins in the molecular dynamics community, and can be understood as the limit case of the continuous-time Parallel Tempering algorithm, where the (random) time between swaps of states between two parallel chains goes to zero. Thus, swapping states between chains occurs continuously. In the current work, we extend this idea t

MATHICSE2020

Investigation of the Structural and Electrochemical Properties of Mn2Sb3O6CI upon Reaction with Li Ions

Iwan Zimmermann

The structural and electrochemical properties of a quaternary layered compound with elemental composition Mn2Sb3O6Cl have been investigated upon reaction with lithium in Li half cells. Operando XRD was used to investigate the potential impact of this parti ...

Amer Chemical Soc2017

An introduction to the problem of bridging quantum and classical dynamics

Sara Bonella

Simulating the exact quantum dynamics of realistic interacting systems is presently a task beyond reach but for the smallest of them, as the numerical cost for solving the time-dependent Schrodinger equation scales exponentially with the number of degrees ...

Springer Heidelberg2015

Stability and Hypothesis Transfer Learning

We consider the transfer learning scenario, where the learner does not have access to the source domain directly, but rather operates on the basis of hypotheses induced from it - the Hypothesis Transfer Learning (HTL) problem. Particularly, we conduct a theoretical analysis of HTL by considering the algorithmic stability of a class of HTL algorithms based on Regularized Least Squares with biased regularization. We show that the relatedness of source and target domains accelerates the convergence of the Leav

2013

Identification of Feasible Metabolic Fluxes and Metabolite Concentrations using Large-scale Kinetic Models

Ljubisa Miskovic

The constraints imposed during modeling must satisfy biologically representative phenotypes of the studied organism. Simultaneously, identification and analysis of these constraints enhances our understanding of the evolution/operational paradigms of the organism. It was postulated by Varma and Palsson[1] that it is possible to define limits on metabolic behavior using flux balance analysis, but in order to accurately capture the metabolic responses, detailed information about enzyme kinetics and their regu

2013

Relationship between interfacial micromotion and bone density around cementless hip implant

The hip is one of the most injured joint in the body with ageing. Osteoarthritis and degenerative diseases often lead to the necessity of a total hip arthroplasty in order to reduce pain and increase mobility. The advantage of cementless implants resides in the natural stem anchorage by osseointegration instead of the cement use. Nevertheless, the related stability is highly dependent on the micromotion between the implant and the bone. As more and more arthroplasties are performed each year, it is importan

2013

Limit of absorption enhancement in solar cells with guided modes

Christophe Ballif

We investigate the impact of guided modes on the absorption enhancement in solar cells. By considering a dielectric thin film, we show that the absorption can be enhanced beyond the previous predictions even after averaging over wide wavelength ranges.

2012

Light Trapping Limit Revisited: How do Guided Modes Enhance Light Absorption in Solar Cells?

Christophe Ballif

We explore the limit of absorption enhancement in thin film solar cells obtained by guided mode excitation and we discuss the geometrical and angular dependence of absorption. We consider the modal properties of the cell.

2012

Theoretical treatment and numerical simulation of potentiometric and amperometric enzyme electrodes and of enzyme reactors. Part 2: Time-dependent concentration profiles, fluxes, and responses

Nico de Rooij

The time-dependent behavior of sensor systems based on enzyme membranes is treated theoretically. The comparative treatment covers traditional potentiometric and amperometric enzyme electrodes as well as enzyme reactors. Theoretical solutions are derived by the method of Laplace transforms. The relationships refer to the analytically useful range of relatively low substrate concentrations where the response signal is a function of the sample concentration. Numerical simulations using finite-difference proce

2011

Accumulation of pollutants and plant wellness : Bottleneck or key to successful phytoremediation ?

Jean-Paul Schwitzguebel

Because plants are static and live in a competitive and sometimes hostile environment, they have evolved mechanisms that protect them from abiotic and biotic stress. These mechanisms include detoxification and sequestration of xenobiotic compounds and of heavy metals, exploited in any phytoremediation process. However there must be a limit on the amount of pollutants that can be accumulated and detoxified without disrupting the normal plant metabolism and wellness. Enzymes involved in xenobiotics detoxifica

2011

Ferroelectric Field Effect Transistor for Memory and Switch Applications

Giovanni Antonio Salvatore

Silicon technology has advanced at exponential rates both in performances and productivity through the past four decades. However the limit of CMOS technology seems to be closer and closer and in the future we might see an increasing number of hybrid appro ...

EPFL2011

The Bounded Confidence Model Of Opinion Dynamics

Jean-Yves Le Boudec

The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions evolve globally into a random set of clusters too far apart to interact, and thereafter all opinions in every cluster converge to their barycenter. We then prove a mean-field limit result, propagation of chaos: as the number of peers goes to infinity in adequately started sys

2010

The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points

Jean-Yves Le Boudec

Assume that a stochastic processes can be approximated, when some scale parameter gets large, by a fluid limit (also called mean field limit", or hydrodynamic limit"). A common practice, often called the ``fixed point approximation" consists in approximating the stationary behaviour of the stochastic process by the stationary points of the fluid limit. It is known that this may be incorrect in general, as the stationary behaviour of the fluid limit may not be described by its stationary points. We show

arxiv.org2010

On the modelling and regulation of the cardiovascular system: Applications in 1D & 3D

Baroreceptors are sensory cells that help the body to keep a constant aortic pressure by regulating cardiovascular parameters. The cardiovascular system can be modelled by several methods, comprising lumped parameter models which represent important parts of the body, or 3D models which are used to observe the local flow and pressure distribution. Current state of the art of modelling couples these models together in order to get more accurate 3D solutions in a computationally tractable manner. In the first

2010

Miniaturized Fourier transform spectrometer for gas detection in the MIR region

Nico de Rooij

Selective multi-gas detection is often based on spectroscopic methods in the infrared region. The resulting setup consists of a spectrometer and the probing setup where often the spectrometer makes the sensing device large and heavy and does not allow easy on the field integration. We report on the application of a silicon micromachined lamellar grating interferometer in a Fourier transform infrared spectrometer for the detection of gases in the mid infrared region. The spectrometer heart was miniaturized c

Elsevier2010

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