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# Documents  Critères de recherche : "Analysis" | enregistrements trouvés : 1 998

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## Mean-field analysis of an excitatory neuronal network: application to systemic risk modeling? Delarue, François | CIRM

Post-edited

Research talks;Partial Differential Equations;Mathematics in Science and Technology

Inspired by modeling in neurosciences, we here discuss the well-posedness of a networked integrate-and-fire model describing an infinite population of companies which interact with one another through their common statistical distribution. The interaction is of the self-excitatory type as, at any time, the debt of a company increases when some of the others default: precisely, the loss it receives is proportional to the instantaneous proportion of companies that default at the same time. From a mathematical point of view, the coefficient of proportionality, denoted by a, is of great importance as the resulting system is known to blow-up when a takes large values, a blow-up meaning that a macroscopic proportion of companies may default at the same time. In the current talk, we focus on the complementary regime and prove that existence and uniqueness hold in arbitrary time without any blow-up when the excitatory parameter is small enough. Inspired by modeling in neurosciences, we here discuss the well-posedness of a networked integrate-and-fire model describing an infinite population of companies which interact with one another through their common statistical distribution. The interaction is of the self-excitatory type as, at any time, the debt of a company increases when some of the others default: precisely, the loss it receives is proportional to the instantaneous proportion ...

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## Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 1 Grandmont, Céline | CIRM H

Post-edited

Research talks;Partial Differential Equations;Mathematical Physics

Many physical phenomena deal with a fluid interacting with a moving rigid or deformable structure. These kinds of problems have a lot of important applications, for instance, in aeroelasticity, biomechanics, hydroelasticity, sedimentation, etc. From the analytical point of view as well as from the numerical point of view they have been studied extensively over the past years. We will mainly focus on viscous fluid interacting with an elastic structure. The purpose of the present lecture is to present an overview of some of the mathematical and numerical difficulties that may be encountered when dealing with fluid-structure interaction problems such as the geometrical nonlinearities or the added mass effect and how one can deal with these difficulties. Many physical phenomena deal with a fluid interacting with a moving rigid or deformable structure. These kinds of problems have a lot of important applications, for instance, in aeroelasticity, biomechanics, hydroelasticity, sedimentation, etc. From the analytical point of view as well as from the numerical point of view they have been studied extensively over the past years. We will mainly focus on viscous fluid interacting with an elastic ...

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## Microlocal analysis for Kerr-de Sitter black holes Vasy, Andras | CIRM H

Post-edited

Research talks;Partial Differential Equations;Geometry;Mathematical Physics

In this lecture I will describe a framework for the Fredholm analysis of non-elliptic problems both on manifolds without boundary and manifolds with boundary, with a view towards wave propagation on Kerr-de-Sitter spaces, which is the key analytic ingredient for showing the stability of black holes (see Peter Hintz' lecture). This lecture focuses on the general setup such as microlocal ellipticity, real principal type propagation, radial points and generalizations, as well as (potentially) normally hyperbolic trapping, as well as the role of resonances. In this lecture I will describe a framework for the Fredholm analysis of non-elliptic problems both on manifolds without boundary and manifolds with boundary, with a view towards wave propagation on Kerr-de-Sitter spaces, which is the key analytic ingredient for showing the stability of black holes (see Peter Hintz' lecture). This lecture focuses on the general setup such as microlocal ellipticity, real principal type propagation, radial points ...

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## Spectral theory and semi-classical analysis for the complex Schrödinger operator Helffer, Bernard | CIRM H

Post-edited

Research talks;Partial Differential Equations;Mathematical Physics

We consider the operator $\mathcal{A}_h = -h^2 \Delta + iV$ in the semi-classical limit $h \to 0$, where $V$ is a smooth real potential with no critical points. We obtain both the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for the Dirichlet realization of $\mathcal{A}_h$ by removing significant limitations that were formerly imposed on $V$. In addition, we apply our techniques to the more general Robin boundary condition and to a transmission problem which is of significant interest in physical applications. We consider the operator $\mathcal{A}_h = -h^2 \Delta + iV$ in the semi-classical limit $h \to 0$, where $V$ is a smooth real potential with no critical points. We obtain both the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for the Dirichlet realization of $\mathcal{A}_h$ by removing significant limitations that were formerly imposed on $V$. In addition, ...

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## Multivariate analysis IVproceedings of the fourth international symposium on multivariate analysisheld at Wrihgt State University, OhioJune 16-21 Krishnaiah, Paruchuri R. | North-Holland Publishing Co. 1978

Congrès

ISBN 978-0-7204-0520-0

Localisation : Colloque 1er étage (DAYT)

analyse multivariée # conception des expériences # estimation # processus stochastique # procédure de décision # reconnaissance de forme # statistique de données directionnelle # série temporelle # table de contigence # théorie de l'information # théorie de la commande # théorie de la distribution multivariée

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## Multivariate analysis iiiproceeding of the Third International Symposium on multivariate analysis held at Wright State University,Dayton, Ohio,june 19-24,1972 Krishnaiah, Paruchuri R. | Academic Press 1973

Congrès

ISBN 978-0-12-426653-7

Localisation : Colloque 1er étage (DAYT)

analyse multivariée # caractérisation # classification # fiabilité # fonction caractéristique # inférence # modélisation # plan ou analyse d'expérience # processus stochastique # série temporelle # théorie des distributions

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## Algebras in analysisproceedings of an instructional conference organaized by the London Mathemamatical Society and the Uiversity of Birmingham Sept. 3-22 Williamson, J. H. | Academic Press 1975

Congrès

ISBN 978-0-12-757150-8

Localisation : Colloque 1er étage (BIRM)

algèbre d

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## Harmonic analysis and representation of semi simple lie groupslectures given at the nato advanced study institute on representations of lie groups and harmonic analysis,held at liege,belgium,sept. 5-11,1977 Cahen, M. ; De Wilde, M. ; Wolf, J. A. | D. Reidel Publishing Company 1977

Congrès

ISBN 978-90-277-1042-0

Mathematical physics and applied mathematics , 0005

Localisation : Colloque 1er étage (LIEG)

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## Numerical analysisa.m.s. short course on... held at atlanta,georgia,jan. 3-4,1978 Golub, Gene K. ; Oliger, Joseph | American Mathematical Society 1978

Congrès

ISBN 978-0-8218-0122-2

Proceedings of symposia in applied mathematics , 0022

Localisation : Collection 1er étage

65-02

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## Numerical analysisproceedings of the 6th. symposium in applied mathematics of the am.s. held at the santa monica city,college,aug. 26-28,1953 Curtis, J. H. | American Mathematical Society 1956

Congrès

Proceedings of symposia in applied mathematics , 0006

Localisation : Collection 1er étage

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## Statistical data analysisproceedings of symposia in applied mathematics on... held in toronto,ontario,c anada,aug. 21-22,1982 Gnanadesikan, Ram | American Mathematical Society 1983

Congrès

ISBN 978-0-8218-0040-9

Proceedings of symposia in applied mathematics , 0028

Localisation : Collection 1er étage

62-07

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## Harmonic analysis :1980 seminar on...held at McGill University#Aug. 4-22 Herz, C. ; Rigelhof, R. | American Mathematical Society 1981

Congrès

- 313 p.
ISBN 978-0-8218-6000-7

C.M.S. conference proceedings , 0001

Localisation : Collection 1er étage

analyse harmonique # caractère # groupe de Lie semi- simple # opérateur différentiel # opérateur pseudo-différentiel # représentation automorphe # représentation de groupe # théorie des nombres

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## Conference on harmonic analysis Vol. 2conference in to honor of Aantoni Zygmund held at the University of ChicagoMarch 23-28 Beckner, William ; Calderon, Alberto P. ; Fefferman, Robert ; Jones, Peter W. | Waldsworth International Group 1983

Congrès

ISBN 978-0-534-98041-2

Localisation : Colloque 1er étage (CHIC)

analyse de Fourier sur R puissance n # analyse harmonique # analyse réelle # espace de Hardy # fonction de carré # interpolation d'espace de Banach # intégrale singulière # opérateur pseudo- différentiel # série trigonométrique # théorie de la différentiation # transformée de Radon # équation aux dérivées partielles # équation d'évolution

42-06

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## Analysis on lie groups and homogeneous spaces :expository lectures form c.b.m.s. regional conferenc held at dartmough college#Aug. 1971 Helgason, Sigurdur | American Mathematical Society 1977

Congrès

- 64 p.
ISBN 978-0-8218-1664-6

CBMS regional conference series in mathematics , 0014

Localisation : Collection 1er étage

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## Harmonic analysis in euclidean spacesproceedings of the symposia in pure mathematics of the a.m.s. held at williams college,williams town,mass.,july 10-28,1978 Wainger, Stephen ; Weiss, Guido | American Mathematical Society 1979

Congrès

ISBN 978-0-8218-1436-9

Proceedings of symposia in pure mathematics

Localisation : Collection 1er étage

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## Global analysis :proceedings of the symposium in pure mathematics of the a.m.s. held at the university of california#July 1-26 Chern, Shing-Shen ; Smale, Stephen | American Mathematical Society 1970

Congrès

- 250 p.
ISBN 978-0-8218-1416-1

Proceedings of symposia in pure mathematics , 0016

Localisation : Collection 1er étage

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## Global analysis :proceedings of the symposium in pure mathematics of the a.m.s. held at the university of california#July 1-26 Shern, Shing-Shung ; Smale, Stephen | American Mathematical Society 1970

Congrès

- 367 p.
ISBN 978-0-8218-1414-7

Proceedings of symposia in pure mathematics , 0014

Localisation : Collection 1er étage

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## Global analysisproceedings of the symposia in pure mathematics of the a.m.s. held at the university of california,berkeley, california,july 1-26,1968 Chern, Shing-Shen ; Smale, Stephen | American Mathematical Society 1970

Congrès

ISBN 978-0-8218-1415-4

Proceedings of symposia in pure mathematics , 0015

Localisation : Collection 1er étage

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## Harmonic analysis in euclidean spacesproceedings of symposium in pure mathematics of the a.m.s. held at williams college,williams town,mass.,july 10- 28,1978 Wainger, Stephen ; Weiss, Guido | American Mathematical Society 1979

Congrès

ISBN 978-0-8218-1438-3

Proceedings of symposia in pure mathematics

Localisation : Collection 1er étage

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## Harmonic analysis :proceedings of a conference held in cortona#July 1-9 Mauceri, Giancarlo ; Ricci, Fulvio ; Weiss, Guido | Springer-Verlag 1983

Congrès

ISBN 978-0-387-12299-1

Lecture notes in mathematics , 0992

Localisation : Collection 1er étage

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