Search results for "J5"

showing 10 items of 40 documents

Infinite rate mutually catalytic branching in infinitely many colonies: The longtime behavior

2012

Consider the infinite rate mutually catalytic branching process (IMUB) constructed in [Infinite rate mutually catalytic branching in infinitely many colonies. Construction, characterization and convergence (2008) Preprint] and [Ann. Probab. 38 (2010) 479-497]. For finite initial conditions, we show that only one type survives in the long run if the interaction kernel is recurrent. On the other hand, under a slightly stronger condition than transience, we show that both types can coexist.

Statistics and ProbabilityPure mathematicsProbability (math.PR)coexistenceType (model theory)Characterization (mathematics)Branching (polymer chemistry)Trotter productstochastic differential equationsLévy noisesegregation of typesStochastic differential equationKernel (algebra)Mutually catalytic branching60G1760K35Convergence (routing)FOS: Mathematics60J6560J55PreprintStatistics Probability and UncertaintyMathematics - ProbabilityMathematicsBranching processThe Annals of Probability
researchProduct

Characterizations of convex approximate subdifferential calculus in Banach spaces

2016

International audience; We establish subdifferential calculus rules for the sum of convex functions defined on normed spaces. This is achieved by means of a condition relying on the continuity behaviour of the inf-convolution of their corresponding conjugates, with respect to any given topology intermediate between the norm and the weak* topologies on the dual space. Such a condition turns out to also be necessary in Banach spaces. These results extend both the classical formulas by Hiriart-Urruty and Phelps and by Thibault.

[ MATH ] Mathematics [math]Mathematics::Functional AnalysisApproximate subdifferentialDual spaceConvex functionsApplied MathematicsGeneral MathematicsBanach spaceUniformly convex spaceSubderivativeApproximate variational principleCalculus rulesLocally convex topological vector spaceCalculusInterpolation spaceMSC: Primary 49J53 52A41 46N10[MATH]Mathematics [math]Reflexive spaceLp spaceMathematics
researchProduct

Constrained differential inclusions with nonlocal initial conditions

2017

International audience; We show existence for the perturbed sweeping process with nonlocal initial conditions under very general hypotheses. Periodic, anti-periodic, mean value and multipoints conditions are included in this study. We give abstract results for differential inclusions with nonlocal initial conditions through bounding functions and tangential conditions. Some applications to differential complementarity systems and to vector hysteresis are given.

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]MSC: 34A60 49J52 34G25 49J53 34B10Periodic solutionsNonlocal Cauchy problemDifferential inclusions[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Sweeping processesNormal coneBounding functions
researchProduct

Characterization of the Clarke regularity of subanalytic sets

2017

International audience; In this note, we will show that for a closed subanalytic subset $A \subset \mathbb{R}^n$, the Clarke tangential regularity of $A$ at $x_0 \in A$ is equivalent to the coincidence of the Clarke's tangent cone to $A$ at $x_0$ with the set \\$$\mathcal{L}(A, x_0):= \bigg\{\dot{c}_+(0) \in \mathbb{R}^n: \, c:[0,1]\longrightarrow A\;\;\mbox{\it is Lipschitz}, \, c(0)=x_0\bigg\}.$$Where $\dot{c}_+(0)$ denotes the right-strict derivative of $c$ at $0$. The results obtained are used to show that the Clarke regularity of the epigraph of a function may be characterized by a new formula of the Clarke subdifferential of that function.

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC][ MATH ] Mathematics [math]Computer Science::Computer Science and Game Theory021103 operations researchSubanalytic setTangent coneApplied MathematicsGeneral Mathematics010102 general mathematicsTangent coneMathematical analysis0211 other engineering and technologiesSubanalytic sets02 engineering and technologyCharacterization (mathematics)16. Peace & justice01 natural sciencesMSC: Primary 49J52 46N10 58C20; Secondary 34A60Clarke regularity[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematics[MATH]Mathematics [math]Mathematics
researchProduct

Differential inclusions involving normal cones of nonregular sets in Hilbert spaces

2017

This thesis is dedicated to the study of differential inclusions involving normal cones of nonregular sets in Hilbert spaces. In particular, we are interested in the sweeping process and its variants. The sweeping process is a constrained differential inclusion involving normal cones which appears naturally in several applications such as elastoplasticity, electrical circuits, hysteresis, crowd motion, etc.This work is divided conceptually in three parts: Study of positively alpha-far sets, existence results for differential inclusions involving normal cones and characterizations of Lyapunov pairs for the sweeping process. In the first part (Chapter 2), we investigate the class of positivel…

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]cône normalMoreau-Yosida regularizationcono normalmétodo de tipo Galerkinfonction distanceGalerkin-like methodMSC: 34A60 49J52 34G25 49J53 34B10 93D30subdiferencial de Clarkeprocessus de rafleInclusión diferencialensembles positivement alpha-far'sweeping processfonctions de Lyapunovsous-différentiel de Clarkeprocesos de arrastrefunción distanciaLyapunov functionsconjuntos positivamente alpha-farFunciones de Lyapunovméthode de type Galerkinrégularisation de Moreau-YosidaDifferential inclusions[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Clarke subdifferentialregularización de Moreau-YosidaDistance functionInclusion différentielle[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Normal conepositively alpha-far sets
researchProduct

La economía social como enfoque metodológico, como objeto de estudio y como disciplina científica

1999

This article continues an article written by the same author and published by CIRIEC-España in 1997 (no. 25). It analyses social economy at three cognitive levels: first, as a social reality (Social Economy); second, as a scientific discipline which studies its previous reality (the science of Social Economy); third, as a methodological approach in social sciences (the approach of Social Economy). The author claims that, at these three levels, social economy becomes an alternative way of “making the economy”.

jel:B50jel:A13jel:P13jel:L30jel:J54Social economy methodological approach scientific discipline values theory.CIRIEC-España, revista de economía pública, social y cooperativa
researchProduct

Networks of knowledge among unionized firms

2008

We develop a model of strategic networks in order to analyze how trade unions will affect the stability of R&D networks through which knowledge is transmitted in an oligopolistic industry. Whenever firms settle wages, the partially connected network is likely to emerge in the long run if and only if knowledge spillovers are large enough. However, when unions settle wages, the complete network is the unique stable network. In other words, the stronger the union bargaining power is, the more symmetric stable R&D networks will be. In terms of network efficiency, the partially connected network (when firms settle wages) does not Pareto dominate the complete network (when unions settle wages) an…

jel:C70Economics and Econometricsjel:D85Pareto principleStability (learning theory)jel:J50OligopolyMicroeconomicsjel:L20Bargaining powerOrder (exchange)jel:L13EconomicsIndustrial organizationCanadian Journal of Economics/Revue canadienne d'économique
researchProduct

Networks of manufacturers and retailers

2011

We study the endogenous formation of networks between manufacturers of differentiated goods and multi-product retailers who interact in a successive duopoly. Joint consent is needed to establish and/or maintain a costly link between a manufacturer and a retailer. We find that only three distribution networks are stable for particular values of the degree of product differentiation and link costs: (i) the non-exclusive distribution & non-exclusive dealing network in which both retailers distribute both products is stable for intermediate degree of product differentiation and small link costs; (ii) the exclusive distribution & exclusive dealing network in which each retailer distributes a dif…

jel:C70Organizational Behavior and Human Resource ManagementEconomics and Econometricsbusiness.industrynetworks retailers manufacturersDistribution (economics)Exclusive dealingSocial Welfarejel:J50Product differentiationStability (probability)jel:J52MicroeconomicsRetailersjel:L20jel:L13EconomicsMixed distributionProduct (category theory)NetworksNamufacturersbusinessDuopoly
researchProduct

R&D networks among unionized firms

2005

We develop a model of strategic networks in order to analyze how trade unions will affect the stability and efficiency of R&D collaboration networks in an oligopolistic industry with three firms. Whenever firms settle wages, the complete network is always pairwise stable and the partially connected network is stable if and only if spillovers are large enough. If spillovers are small, the complete network is the efficient network; otherwise, the efficient network is the partially connected network. Thus, a conflict between stability and efficiency may occur: efficient networks are pairwise stable, but the reverse is not true. Strong stability even reinforces this conflict. However, once unio…

jel:C70jel:L20networks R&D collaboration oligopoly unionsjel:L13jel:J50jel:J52
researchProduct

Diversidad de género, igualdad de oportunidades y entornos laborales

2004

Gender diversity can be considered a useful strategy for improving equal opportunities in the labour market. It is also a valid criterion for optimising human resources in management professions. Unlike other strategies for promoting equal opportunities that have been applied in political or social spheres (quota system, parity representation, etc.), gender diversity combines humanitarian criteria based on citizenship rights for women with maximalist arguments relating to the value such a strategy can add to labour organisations. The Divers@: género y diversidad project lays down a working method and operational model for analysing possible imbalance caused by the specific gender diversity …

jel:J58Principle of equal opportunities gender mainstreaming optimisation of human resources strategy for diversity affirmative action.jel:J16jel:J21CIRIEC-España, revista de economía pública, social y cooperativa
researchProduct