Search results for " infinite"

showing 10 items of 21 documents

Mean-Field Game Modeling the Bandwagon Effect with Activation Costs

2015

This paper provides a mean-field game theoretic model of the bandwagon effect in social networks. This effect can be observed whenever individuals tend to align their own opinions to a mainstream opinion. The contribution is threefold. First, we describe the opinion propagation as a mean-field game with local interactions. Second, we establish mean-field equilibrium strategies in the case where the mainstream opinion is constant. Such strategies are shown to have a threshold structure. Third, we extend the use of threshold strategies to the case of time-varying mainstream opinion and study the evolution of the macroscopic system.

Physics::Physics and SocietyStatistics and Probability0209 industrial biotechnologyEconomics and Econometrics02 engineering and technologyMean-field gamesMean field gameActivation costs; Bandwagon effect; Games with infinitely many players; Mean-field games; Mode; Threshold policies;01 natural sciencesActivation costs010305 fluids & plasmasMicroeconomics020901 industrial engineering & automationOpinion dynamicsGames with infinitely many players; Bandwagon effect; Activation costs; Threshold policies; Mean-field games; ModeMean-field game0103 physical sciencesEconomicsThreshold policiesMainstreamBandwagon effectStructure (mathematical logic)Game theoreticApplied MathematicsMode (statistics)Computer Science::Social and Information NetworksComputer Graphics and Computer-Aided DesignComputer Science ApplicationsComputational MathematicsActivation costComputational Theory and MathematicsGames with infinitely many playersGames with infinitely many playerModeSettore MAT/09 - Ricerca OperativaConstant (mathematics)Threshold policieMathematical economicsBandwagon effectDynamic Games and Applications
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Infinitely many weak solutions for a mixed boundary value system with (p_1,…,p_m)-Laplacian

2014

The aim of this paper is to prove the existence of infinitely many weak solu- tions for a mixed boundary value system with (p1, . . . , pm)-Laplacian. The approach is based on variational methods.

Pure mathematicscritical pointsinfinitely many solutionsApplied MathematicsMathematical analysisvariational methodsBoundary valuesCritical points variational methods infinitely many solutions p-Laplacian.$p$-laplacianSettore MAT/05 - Analisi MatematicaQA1-939Laplace operatorMathematicsMathematics
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A sequence of positive solutions for sixth-order ordinary nonlinear differential problems

2021

Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.

SequenceDifferential equationSixth orderApplied MathematicsCritical pointsInfinitely many solutionsSymmetry (physics)Term (time)Nonlinear systemSixth-order equationsSettore MAT/05 - Analisi MatematicaQA1-939Applied mathematicsCritical points; Infinitely many solutions; Sixth-order equationsDifferential (infinitesimal)MathematicsMathematicsElectronic Journal of Qualitative Theory of Differential Equations
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Milo De Angelis: il lessico del ritorno e del topos tra finitudine e assoluto

2021

Tema dell’articolo è il lessico nella poesia di Milo De Angelis analizzato attraverso i temi fondanti della poetica: adolescenza, ritorno, topos. Al centro dell’universo lessicale viene collocato e discusso anche quel particolare stato di tensione che percorre i testi del poeta e che li caratterizza in maniera distintiva. Dotato di persistenza e privo di accidentalità, esso si manifesta in addensamenti polarizzati, giungendo a coinvolgere anche la diade finitudine vs indefinitezza. Il discorso sul lessico, quindi, è condotto all’interno del complesso e variegato diasistema di lingua e pensiero deangelisiano del quale vengono presi in conto le articolazioni testuali più rilevanti. L’analisi …

Settore L-FIL-LET/12 - Linguistica Italianalexicon and poetryvagueneoxymoronambiguitypoetry and topopoetry and infinitesemantic vaguenecontemporary poetry.Milo De Angeli
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Disorder relevance for the random walk pinning model in dimension 3

2011

We study the continuous time version of the random walk pinning model, where conditioned on a continuous time random walk Y on Z^d with jump rate \rho>0, which plays the role of disorder, the law up to time t of a second independent random walk X with jump rate 1 is Gibbs transformed with weight e^{\beta L_t(X,Y)}, where L_t(X,Y) is the collision local time between X and Y up to time t. As the inverse temperature \beta varies, the model undergoes a localization-delocalization transition at some critical \beta_c>=0. A natural question is whether or not there is disorder relevance, namely whether or not \beta_c differs from the critical point \beta_c^{ann} for the annealed model. In Birkner a…

Statistics and Probability60K35 82B4482B44Probability (math.PR)Random mediaGeometryMarginal disorderFractional moment methodMean estimationMathematics::Probability60K35Local limit theoremFOS: MathematicsCollision local timeDisordered pinning modelsStatistics Probability and UncertaintyRandom walksHumanitiesRenewal processes with infinite meanMathematics - ProbabilityMathematicsAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques
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A CONSTRUCTIVE APPROACH TO THE INFINITESIMAL ANALYSIS: EPISTEMOLOGIC POTENTIALS AND LIMITS OF THE "TRACTIONAL MOTION"

2012

Tractional motion foundation of geometry infinitesimal analysis
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Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras

2018

This paper is devoted to the study of unbounded derivations on Banach quasi *-algebras with a particular emphasis to the case when they are infinitesimal generators of one parameter automorphisms groups. Both of them, derivations and automorphisms are considered in a weak sense; i.e., with the use of a certain families of bounded sesquilinear forms. Conditions for a weak *-derivation to be the generator of a *-automorphisms group are given.

Unbounded derivationPure mathematicsAutomorphisms groups and their infinitesimal generatorsInfinitesimalBanach quasi *-algebra01 natural sciencesMathematics::Group Theory*-Automorphisms groups and their infinitesimal generatorSettore MAT/05 - Analisi Matematica0103 physical sciencesFOS: MathematicsAutomorphisms groups and their infinitesimal generators; Banach quasi; Integrability of derivation; Unbounded derivations; Automorphisms groups and their infinitesimal generators; Banach quasi; Integrability of derivation; Unbounded derivationsBanach quasi0101 mathematicsOperator Algebras (math.OA)MathematicsGroup (mathematics)Applied Mathematics010102 general mathematicsIntegrability of derivationMathematics - Operator AlgebrasAutomorphismUnbounded derivationsFunctional Analysis (math.FA)Mathematics - Functional AnalysisBounded function010307 mathematical physicsGenerator (mathematics)
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Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions

2008

AbstractWe determine the spectra of composition operators acting on weighted Banach spaces Hv∞ of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. We also investigate in this case the growth rate of the Koenigs eigenfunction and its relation with the essential spectral radius of the composition operator.

Unbounded operatorSpectral theoryComposition operatorApproximation propertySpectral radiusEssential spectral radiusApplied MathematicsMathematical analysisSpectrum (functional analysis)Composition operatorsFinite-rank operatorOperator theoryKoenigs eigenfunctionSpectrumAstrophysics::Earth and Planetary AstrophysicsAnalysisWeighted Bergman spaces of infinite orderMathematicsJournal of Mathematical Analysis and Applications
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Persistent random walks, variable length Markov chains and piecewise deterministic Markov processes *

2013

A classical random walk $(S_t, t\in\mathbb{N})$ is defined by $S_t:=\displaystyle\sum_{n=0}^t X_n$, where $(X_n)$ are i.i.d. When the increments $(X_n)_{n\in\mathbb{N}}$ are a one-order Markov chain, a short memory is introduced in the dynamics of $(S_t)$. This so-called "persistent" random walk is nolonger Markovian and, under suitable conditions, the rescaled process converges towards the integrated telegraph noise (ITN) as the time-scale and space-scale parameters tend to zero (see Herrmann and Vallois, 2010; Tapiero-Vallois, Tapiero-Vallois2}). The ITN process is effectively non-Markovian too. The aim is to consider persistent random walks $(S_t)$ whose increments are Markov chains with…

[MATH.MATH-PR] Mathematics [math]/Probability [math.PR]Variable length Markov chainProbability (math.PR)Semi Markov processesIntegrated telegraph noise[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Mathematics::ProbabilitySimple and double infinite combs.Variable memoryFOS: Mathematics[ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR]Mathematics - ProbabilityPersistent random walkSimple and double infinite combsPiecewise Deterministic Markov Processes
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La corrispondenza epistolare Niccolò De Martino - Girolamo Settimo. Con un saggio sull’inedito Trattato delle Unghiette Cilindriche di Settimo

2008

carteggi storia matematica calcolo infinitesimale
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