Institut National des Sciences Appliquées de Toulouse

Trend to Equilibrium and Diffusion Limit for the Inertial Kuramoto–Sakaguchi Equation

Abstract. In this paper, we study the inertial Kuramoto–Sakaguchi equation for interacting oscillatory systems. On the one hand, we prove the convergence toward corresponding phase-homogeneous stationary states in weighted Lebesgue norm sense when the coupling strength is small e...

Bridging the gap between genomic, phenotypic, and modeling data in picophytoplankton–virus interactions

Abstract We present a comprehensive synthesis of recent developments in methodological approaches to combine experimental and genomic studies of picophytoplankton–virus interactions. This synthesis will not only enhance our understanding of these relationships but also stimulate...

Swarming by curvature control in arbitrary dimension

We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their trajectory (i.e. the time-derivative of their velocity) so as to align their velocity with that of the...

From human to urban metabolism: mapping flows of excreted nutrients based on current and prospective diets

Increasing awareness of the health, environmental, and geopolitical issues associated to mineral fertilizers have brought renewed attention to alternative sources of nutrients, such as those that flow from the sanitation systems of cities. This raises the questions: how much can...

Ground states on a fractured strip and one-dimensional reduction

We consider the nonlinear Schrödinger equation on a strip with Neumann boundary conditions and a delta condition at x = 0 . We first show the existence of ground states as minimizers of the action or of the energy under suitable constraints. We then prove that the energy minimize...

Stereoselective trans -1,4 Polymerization of Isoprene and β -Myrcene Mediated by Iron Complexes Bearing 1,1-Diaryl- N -(quinolin-8-yl)methanimine Ligands

Abstract Although iron has emerged as an earth-abundant alternative for 1,3-diene coordinative polymerization, stereoselective iron systems remain uncommon and are often associated with limited catalytic activity. Here, we report three iron(II) complexes supported by 1,1-diaryl-N...

Refinements on higher order Weil–Oesterlé bounds via a Serre type argument

Abstract Weil's theorem gives the most standard bound on the maximum number of points of a curve of genus over a finite field . This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐...

Convergence Rates for Polynomial Optimization on Set Products

Abstract. We consider polynomial optimization problems on Cartesian products of basic compact semialgebraic sets. The solution of such problems can be approximated as closely as desired by hierarchies of semidefinite programming relaxations, based on classical sums of squares cer...

Formal moduli problems and derived Lie algebras

We show that derived Lie algebras and restricted Lie algebras classify formal moduli problems on Artin divided power algebras and truncated algebras respectively. This article is part of the theme issue 'Derived Lie algebras in geometry and topology'.