We study the dynamics of majority-based distributed systems in presence of permanent faults. In particular, we are interested in the patterns of initial faults which may lead the entire system to a faulty behaviour. Such patterns are called dynamos and their properties have been studied in many diierent contexts. In this paper we investigate dynamos for meshes with diierent types of toroidal cl...

We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be quantized by means of a unitary Floquet operator. A corresponding quantum system is constructed as a completely positive map acting in the space of density matrices. We investigate spectral properties of t...

Irreversibility is introduced to quantum graphs by coupling the graphs to a bath of harmonic oscillators. The interaction which is linear in the harmonic oscillator amplitudes is localized at the vertices. It is shown that for sufficiently strong coupling, the spectrum of the system admits a new continuum mode which exists even if the graph is compact, and a single harmonic oscillator is couple...

We offer a new perspective on games of irreversible investment under uncertainty in continuous time. The basis is a particular approach to solve the involved stochastic optimal control problems which allows to establish existence and uniqueness of an oligopolistic open loop equilibrium in a very general framework without reliance on any Markovian property. It simultaneously induces quite natura...

We study the propagation of information in a network in the presence of permanent faults, to detect the patterns of initial faults which may lead the entire system to fail. Such patterns, called dynamos, have been already studied in diierent contexts and topologies, and under diierent laws of fault propagation. In our model each node assumes a new state according to the majority of the states o...

2014 In this paper we review the theoretical problems due to the pinning of vortices. We emphasize the difficulty of making a link between the elementary pinning force between an isolated vortex and a pinning center with the measured pinning force. We show how to define experimentally the pinning force which permit a theoretical study and we calculate it. Far from Hc2, we get Webb’s results. Fi...

The concept of a competitive enzyme immunoassay that utilizes simultaneously the bound and the free analyte-enzyme conjugate (heterobifunctional conjugate) for signal generation in response to varying analyte concentrations in samples has been investigated. Two antigenic sites of the heterobifunctional conjugate are used in the assay for binding to immunoglobulins: the analyte derivative binds ...

A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a previous publication plays the role of a " thermoelastic potential " and is used along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement. The g...

This paper develops a general theory of sequential irreversible investments in capital where a firm has the option to expand its current capacity or just wait for better time. Facing economic uncertainty, the firm has an operating function of the current capacity and an exogenous stochastic factor modelled by semimartingale. This general model encompasses all previously studied models, includin...