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1. Method of Invariant Grids

   The method of invariant grids is developed for a grid-based computation of invariant manifolds.

   Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics

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2. 1 An Introduction to the Physics of the Early Universe

   We present an elementary introduction to the Early Universe. The basic features of the hot Big Bang are reviewed in the framework of the fundamental...

   Kyriakos Tamvakis in The Physics of the Early Universe

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3. Mathematical Notation and Some Terminology

   – The operator L from space W to space E: L : W → E

   Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics

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4. References

   Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics

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5. Invariance Equation in Differential Form

   Definition of invariance in terms of motions and trajectories assumes, at least, existence and uniqueness theorems for solutions of the original...

   Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics

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6. Entropy, Quasiequilibrium, and Projectors Field

   Projection operators Py contribute both to the invariance equation (3.2), and to the film extension of the dynamics (4.5). Limiting results, exact...

   Alexander N. Gorban, Ilya V. Karlin in Invariant Manifolds for Physical and Chemical Kinetics

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7. 7 Brane-World Cosmology

   According to recent ideas from particle physics, the universe could be a higher-dimensional spacetime, with our observable part of the universe being...

   Roy Maartens in The Physics of the Early Universe

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8. Course 15: Observations of the High Energy $\gamma$ -Ray Universe

   This article describes the nature and current status of observational programs studying astrophysical high energy...

   Conor Masterson in Accretion discs, jets and high energy phenomena in astrophysics

   Conference paper
   

9. Course 1: Accretion and Ejection-Related MHD

   This lecture is an introduction to MHD. Relevant equations, both in the classical and special-relativistic regimes are derived. The magnetic field...

   Jean Heyvaerts in Accretion discs, jets and high energy phenomena in astrophysics

   Conference paper
   

10. Course 7: Cosmic Rays and Particle Acceleration at Astrophysical Shocks

    The acceleration of particles in the vicinity of astrophysical shocks has become the main paradigm in astrophysics for the production of cosmic rays...

    Abraham Achterberg in Accretion discs, jets and high energy phenomena in astrophysics

    Conference paper
    

11. Course 12: Evolution of YSO Disks

    As stars and planets form from accretion processes in disks, it is important to understand these processes and their evolutionary implications. While...

    Lee Hartmann in Accretion discs, jets and high energy phenomena in astrophysics

    Conference paper
    

12. Course 11: Accretion Signatures in Young Stellar Objects

    Mass accretion onto the star is taken place in young stellar objects, providing the energy needed to power the excess emission observed at all...

    Nuria Calvet in Accretion discs, jets and high energy phenomena in astrophysics

    Conference paper
    

13. Course 8: The Black Hole Environments

    Compact objects are astrophysical entities with radii smaller than about 10 Schwarzschild radii. The mass spectrum of these objects ranges from the...

    Max Camenzind in Accretion discs, jets and high energy phenomena in astrophysics

    Conference paper
    

14. Course 13: X-Rays from YSOS: Desperately Seeking the Central Engine

    The earliest stages of the evolution of low-mass stars are characterized by the presence of powerful jets, likely originating from accretion via...

    Thierry Montmerle in Accretion discs, jets and high energy phenomena in astrophysics

    Conference paper
    

15. Course 6: Gamma-Ray Bursts

    This lecture is an introduction to the study of gamma-ray bursts. Observations of the burst and its afterglow are first reviewed, with the...

    Frédéric Daigne in Accretion discs, jets and high energy phenomena in astrophysics

    Conference paper
    

16. Course 9: Accretion around Active Galactic Nuclei

    In bright AGN, at distances of several Schwarzschild radii, the accretion onto a black hole proceeds predominantly in a form of a cool accretion...

    Bozena Czerny in Accretion discs, jets and high energy phenomena in astrophysics

    Conference paper
    

17. Introduction

    We summarize the topics presented in this book, and when appropriate we enlighten cross–references among the different topics: high precision and...

    Nora Bretón, Jorge L. Cervantes–Cota, Marcelo Salgado in The Early Universe and Observational Cosmology

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18. Cosmological Applications of Loop Quantum Gravity

    After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes...

    Martin Bojowald, Hugo A. Morales-Técotl in The Early Universe and Observational Cosmology

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19. Quantum Corrections to Scalar Quintessence Potentials

    We give a brief introduction into the formalism of the effective action. We use the effective action to investigate the stability of scalar...

    Michael Doran, Joerg Jaeckel in The Early Universe and Observational Cosmology

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20. The Accelerating Universe and Dark Energy: Evidence from Type Ia Supernovae

    I discuss the use of Type Ia supernovae (SNe Ia) for cosmological distance determinations. Low-redshift SNe Ia (...

    Alexei V. Filippenko in The Early Universe and Observational Cosmology

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