output
20052025
most citedDegenerate parabolic stochastic partial differential equations: Quasilinear case

90 citations

Showing 2024Show all

9 papers · 1 filter

cs.DC2024★ 1 cited

Performance Debugging through Microarchitectural Sensitivity and Causality Analysis

Alban Dutilleul, Hugo Pompougnac, Nicolas Derumigny +4

Modern Out-of-Order (OoO) CPUs are complex systems with many components interleaved in non-trivial ways. Pinpointing performance bottlenecks and understanding the underlying causes…

math.OC2024★ 1 cited

Quadratic obstructions to small-time local controllability for multi-input systems

Théo Gherdaoui

We present a necessary condition for the small-time local controllability of multi-input control-affine systems on . This condition is formulated on the vectors of resu…

math.NA2024★ 1 cited

Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations

Eugen Bronasco, Adrien Laurent

While backward error analysis does not generalise straightforwardly to the strong and weak approximation of stochastic differential equations, it extends for the sampling of ergodi…

math.OC2024★ 2 cited

Small-Time Local Controllability of the multi-input bilinear Schrödinger equation thanks to a quadratic term

Théo Gherdaoui

The goal of this article is to contribute to a better understanding of the relations between the exact controllability of nonlinear PDEs and the control theory for ODEs based on Li…

math.OC2024

Examples of small-time controllable Schrödinger equations

Karine Beauchard, Eugenio Pozzoli

A variety of physically relevant bilinear Schrödinger equations are known to be approximately controllable in large times. There are however examples which are approximately contro…

math.NA2024

Control theory and splitting methods

Karine Beauchard, Adrien Busnot Laurent, Frédéric Marbach

Our goal is to highlight some deep connections between numerical splitting methods and control theory. We consider evolution equations of the form , wher…

math.AP2024

Periodic nonlinear Schrödinger equation with distributional potential and invariant measures

Arnaud Debussche, Antoine Mouzard

In this paper, we continue some investigations on the periodic NLSE started by Lebowitz, Rose and Speer and by Bourgain with the addition of a distributional multiplicative potenti…

cs.DS2024

An Objective Improvement Approach to Solving Discounted Payoff Games

Daniele Dell'Erba, Arthur Dumas, Sven Schewe

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the pr…

cs.PL2024★ 1 cited

LiveRec: Prototyping Probes by Framing Debug Protocols

Jean-Baptiste Döderlein, Riemer van Rozen, Tijs van der Storm

Context: In the first part of his 2012 presentation "Inventing on Principle", Bret Victor gives a demo of a live code editor for Javascript which shows the dynamic history of value…