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    Introduction to Ergodic Theory (MN-18), Volume 18

    Introduction to Ergodic Theory (MN-18), Volume 18

    - Preliminary Informal Notes of University Courses and Seminars in Mathematics. (MN-18)

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    • Format
    • Bog, paperback
    • Engelsk

    Beskrivelse

    Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader to the main themes of the subject. Topics discussed include existence of invariant measures, geodesic flows on Riemannian manifolds, ergodic theory of an ideal gas, and entropy of dynamical systems.

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  • Vægt227 g
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    10 cm
    book img
    15,2 cm
    22,9 cm

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    Lecture Theory Central limit theorem Ergodic theory Fourier series Dimension Søren kierkegaard permutation Probability Classical mechanics Variational principle Vector field Gaussian measure Fuchsian group Probability theory Lebesgue measure Hamiltonian mechanics Ergodicity Eigenvalues and Eigenvectors Differentiable manifold Probability measure Sturm-Liouville theory Markov chain Theorem Hamiltonian system Phase space Geodesic Gaussian process Abelian group Stochastic calculus Dynamical system Tangent Space Differential equation Riemann sum Partial differential equation Automorphism Haar measure Product measure Invariant measure Endomorphism Ideal Gas Eigenfunction Algebraic Extension Allegory (category theory) Basis (linear algebra) Bijection Dimension (vector space) coordinate system Dot Product Existential quantification Galois Extension Continuous function (set theory) Differential form Jacobian matrix and determinant Joint probability distribution One-parameter group P-adic number Function (mathematics) Periodic function Jacobian variety Sign (mathematics) summation Unit sphere Variable (mathematics) Measure (mathematics) Surface of revolution Total derivative Two-dimensional space Subsequence Subset

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