Bochner-Hecke Theorems for the Weinstein Transform and Application

MSC 2010: 42B10, 44A15In this paper we prove Bochner-Hecke theorems for the Weinstein transform and we give an application to homogeneous distributions

Moving People: Implications of Migration for Societies and States in North Africa; EUMEF 21st New Faces Conference; Tunis, June 19-22, 2014

20 junge europäische und nordafrikanische Experten aus Wissenschaft, Politik und Zivilgesellschaft diskutierten bei der 21. New Faces-Konferenz des EU-Middle East Forum (EUMEF) in Tunis über die Auswirkungen von Migration und Mobilität auf Staat, Gesellschaft und Wirtschaft in Nordafrika. Die Konferenz wurde in Kooperation mit der Robert Bosch Stiftung, dem Auswärtigen Amt, dem Institut für Auslandsbeziehungen (ifa) und dem Centre de Tunis pour la Migration et l’Asile (CeTuMA) durchgeführt

Biomodélisation / Biological modelling Modéliser les interactions moléculaires par la théorie des réseaux de jeux

Abstract Modelling molecular interactions with game networks' theory. We present a method to model biological systems, the theory of games networks. It extends game theory by multiplying the number of games, and by allowing agents to play several games simultaneously. Some important notions of biological systems, such as locality of interactions and modularity, can then be modelled. Abridged English version Introduction The study of molecular networks by 'high-throughput' techniques is based on coupling in-silico modelling and experimental validation. This interdisciplinary ap-* Auteur correspondant. Adresse e-mail : [email protected] (F. Delaplace). proach leads us to revisit the model-experimentation cycle by integrating computing for the formulation of assumptions. The interaction, resulting from the need to treat automatically a large amount of biological data, gives rise to new problems focused on the conception of computational frameworks for biological modelling. Hence, the question is to correctly interpret data by these formal models, in accordance with methods, biological observations, and possible therapeutic applications. The interpretation may lead to a better under-1631-0691/$ -see front matte

Quantum Strategies Win in a Defector-Dominated Population

Quantum strategies are introduced into evolutionary games. The agents using quantum strategies are regarded as invaders whose fraction generally is 1% of a population in contrast to the 50% defectors. In this paper, the evolution of strategies on networks is investigated in a defector-dominated population, when three networks (Regular Lattice, Newman-Watts small world network, scale-free network) are constructed and three games (Prisoners' Dilemma, Snowdrift, Stag-Hunt) are employed. As far as these three games are concerned, the results show that quantum strategies can always invade the population successfully. Comparing the three networks, we find that the regular lattice is most easily invaded by agents that adopt quantum strategies. However, for a scale-free network it can be invaded by agents adopting quantum strategies only if a hub is occupied by an agent with a quantum strategy or if the fraction of agents with quantum strategies in the population is significant.Comment: 8 pages, 7figure

Coevolutionary games - a mini review

Prevalence of cooperation within groups of selfish individuals is puzzling in that it contradicts with the basic premise of natural selection. Favoring players with higher fitness, the latter is key for understanding the challenges faced by cooperators when competing with defectors. Evolutionary game theory provides a competent theoretical framework for addressing the subtleties of cooperation in such situations, which are known as social dilemmas. Recent advances point towards the fact that the evolution of strategies alone may be insufficient to fully exploit the benefits offered by cooperative behavior. Indeed, while spatial structure and heterogeneity, for example, have been recognized as potent promoters of cooperation, coevolutionary rules can extend the potentials of such entities further, and even more importantly, lead to the understanding of their emergence. The introduction of coevolutionary rules to evolutionary games implies, that besides the evolution of strategies, another property may simultaneously be subject to evolution as well. Coevolutionary rules may affect the interaction network, the reproduction capability of players, their reputation, mobility or age. Here we review recent works on evolutionary games incorporating coevolutionary rules, as well as give a didactic description of potential pitfalls and misconceptions associated with the subject. In addition, we briefly outline directions for future research that we feel are promising, thereby particularly focusing on dynamical effects of coevolutionary rules on the evolution of cooperation, which are still widely open to research and thus hold promise of exciting new discoveries.Comment: 24 two-column pages, 10 figures; accepted for publication in BioSystem

Induced fit, conformational selection and independent dynamic segments: an extended view of binding events

Single molecule and NMR measurements of protein dynamics increasingly uncover the complexity of binding scenarios. Here we describe an extended conformational selection model which embraces a repertoire of selection and adjustment processes. Induced fit can be viewed as a subset of this repertoire, whose contribution is affected by the bond-types stabilizing the interaction and the differences between the interacting partners. We argue that protein segments whose dynamics are distinct from the rest of the protein ('discrete breathers') can govern conformational transitions and allosteric propagation that accompany binding processes, and as such may be more sensitive to mutational events. Additionally, we highlight the dynamic complexity of binding scenarios as they relate to events such as aggregation and signalling, and the crowded cellular environment.Comment: 9 pages, 2 Figures, 1 Table, 2 boxes, Trends in Biochemical Sciences 2010 October issue cover stor

2015 ESC Guidelines for the management of patients with ventricular arrhythmias and the prevention of sudden cardiac death the Task Force for the Management of Patients with Ventricular Arrhythmias and the Prevention of Sudden Cardiac Death of the European Society of Cardiology (ESC) Endorsed by: Association for European Paediatric and Congenital Cardiology (AEPC)

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