Analysis Techniques for Mathematical Physics and Geometry - and Music
Analysis Techniques for Mathematical Physics and Geometry - and Music
Festum Pi, Chania, 2024
Villani, Cedric; Alikakos, Nicholas D.
Springer Nature Switzerland AG
04/2026
484
Mole
Inglês
9783032113955
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Foreword (Dionysios Dervis-Bournias).-- Introduction (Nicholas Alikakos & Cedric Villani).- Part I: Modelling and derivation.- 1. Graph and Mean-Field Limits for Interacting Particles Systems (Nathalie Ayi).- 2. Four Lectures on The Mathematical Theory of (multi) Phase Transitions (Nicholas Alikakos).- Part II: Analysis Tools.- 3. Introduction to Quantitative De Giorgi Methods (Giovanni Brigati & Clement Mouhot).- 4. Optimal transport methods for parabolic diffusion equations: the JKO scheme (Filippo Santambrogio).- 5. Resonances and computations (Yvan Bruned, Frederic Rousset & Katharina Schratz).- Part III: Advances in specific programs.- 6. Splitting maps in Type I Ricci flows (Panagiotis Gianniotis).- 7. Fisher Information in Kinetic Theory (Cedric Villani).- Part IV: Music and mathematics, a gentle bridge.- 8. Microtones, 31-Tet and Just Intonation (Franck Jedrzejewski).- 9. From bird feather to digits: Some thoughts about Olivier Messiaen (Claude Ledoux).
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interacting particle systems;Ricci flow;phase transitions;motion by mean curvature;Boltzmann equation;Fisher information;logarithmic Sobolev inequalities;music theory;microtones;degenerate Vlasov equation
Foreword (Dionysios Dervis-Bournias).-- Introduction (Nicholas Alikakos & Cedric Villani).- Part I: Modelling and derivation.- 1. Graph and Mean-Field Limits for Interacting Particles Systems (Nathalie Ayi).- 2. Four Lectures on The Mathematical Theory of (multi) Phase Transitions (Nicholas Alikakos).- Part II: Analysis Tools.- 3. Introduction to Quantitative De Giorgi Methods (Giovanni Brigati & Clement Mouhot).- 4. Optimal transport methods for parabolic diffusion equations: the JKO scheme (Filippo Santambrogio).- 5. Resonances and computations (Yvan Bruned, Frederic Rousset & Katharina Schratz).- Part III: Advances in specific programs.- 6. Splitting maps in Type I Ricci flows (Panagiotis Gianniotis).- 7. Fisher Information in Kinetic Theory (Cedric Villani).- Part IV: Music and mathematics, a gentle bridge.- 8. Microtones, 31-Tet and Just Intonation (Franck Jedrzejewski).- 9. From bird feather to digits: Some thoughts about Olivier Messiaen (Claude Ledoux).
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.