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43 papers · 1 filter
On the excursion theory for linear diffusions
Paavo Salminen, Pierre Vallois, Marc Yor
We present a number of important identities related to the excursion theory of linear diffusions. In particular, excursions straddling an independent exponential time are studied i…
Comparison between Networked Control System behaviour based on CAN and Switched Ethernet networks
Belynda Brahimi, Eric Rondeau, Christophe Aubrun
The distributed control systems are more and more used in many industrial applications. These systems are often referred as "Networked control systems". The goal of this paper is t…
Limit Time Optimal Synthesis for a Control-Affine System on
Paolo Mason, Rebecca Salmoni, Ugo Boscain +1
For , let be the control system , where belongs to the two-dimensional unit sphere , and are skew-symm…
Relaxation in the XX quantum chain
Thierry Platini, Dragi Karevski
We present the results obtained on the magnetisation relaxation properties of an XX quantum chain in a transverse magnetic field. We first consider an initial thermal kink-like sta…
Quasi-long-range ordering in a finite-size 2D Heisenberg model
Oleksandr Kapikranian, Bertrand Berche, Yurij Holovatch
We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables u…
Safety Evaluation of Critical Applications Distributed on TDMA-Based Networks
Françoise Simonot-Lion, François Simonot, Ye-Qiong Song
Critical embedded systems have to provide a high level of dependability. In automotive domain, for example, TDMA protocols are largely recommended because of their deterministic be…