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1. |
Record Nr. |
UNINA9910214929203321 |
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Autore |
Belmonte Cyril |
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Titolo |
Les patriotes et les autres : L’arrière-pays marseillais en Révolution / / Cyril Belmonte |
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Pubbl/distr/stampa |
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Aix-en-Provence, : Presses universitaires de Provence, 2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (304 p.) |
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Altri autori (Persone) |
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Soggetti |
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Political participation - France - Marseille - History - 18th century |
Marseille (France) History 18th century |
France History Revolution, 1789-1799 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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Dans l’arrière-pays marseillais de la fin de l’Ancien Régime, les démocraties villageoises se maintiennent, tandis que les petits pôles urbains sont dominés par les familles les plus honorables et les plus fortunées du lieu. Après la Révolution, un véritable pouvoir de classe voit le jour, dans le cadre du régime censitaire imposé en 1802 par les autorités napoléoniennes. Pourtant, les notables du début du XIXe siècle, comme les plus apparents d’autrefois, ne forment nullement un groupe homogène. C’est l’État central qui d’une certaine manière leur a donné un sentiment d’appartenance, au fondement dès lors d’une réelle conscience de classe. Brumaire a donc définitivement fait triompher les possédants. Une alternative démocratique était néanmoins possible. C’est ce que suggèrent en tout cas, au moins pour les quinze communes de l’arrière-pays marseillais (Allauch, Aubagne, Auriol, Belcodène, Cassis, Ceyreste, Cuges, Gémenos, Gréasque, La Ciotat, La Penne, Peypin, Roquefort, Roquevaire, Saint-Savournin), l’intensité de la participation citoyenne à la vie politique locale comme aux grands débats nationaux et l’indéniable ouverture sociale dans l’accès aux charges publiques, autant de thèmes au cœur de cette étude. |
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2. |
Record Nr. |
UNINA9910969801603321 |
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Autore |
Bismut Jean-Michel |
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Titolo |
Hypoelliptic Laplacian and orbital integrals / / Jean-Michel Bismut |
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Pubbl/distr/stampa |
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Princeton, : Princeton University Press, 2011 |
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ISBN |
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9786613163875 |
9781283163873 |
128316387X |
9781400840571 |
1400840570 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (320 p.) |
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Collana |
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Annals of mathematics studies ; ; no. 177 |
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Disciplina |
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Soggetti |
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Differential equations, Hypoelliptic |
Laplacian operator |
Definite integrals |
Orbit method |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
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Sommario/riassunto |
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This book uses the hypoelliptic Laplacian to evaluate semisimple orbital |
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integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow. In this book, semisimple orbital integrals associated with the heat kernel of the Casimir operator are shown to be invariant under a suitable hypoelliptic deformation, which is constructed using the Dirac operator of Kostant. Their explicit evaluation is obtained by localization on geodesics in the symmetric space, in a formula closely related to the Atiyah-Bott fixed point formulas. Orbital integrals associated with the wave kernel are also computed. Estimates on the hypoelliptic heat kernel play a key role in the proofs, and are obtained by combining analytic, geometric, and probabilistic techniques. Analytic techniques emphasize the wavelike aspects of the hypoelliptic heat kernel, while geometrical considerations are needed to obtain proper control of the hypoelliptic heat kernel, especially in the localization process near the geodesics. Probabilistic techniques are especially relevant, because underlying the hypoelliptic deformation is a deformation of dynamical systems on the symmetric space, which interpolates between Brownian motion and the geodesic flow. The Malliavin calculus is used at critical stages of the proof. |
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