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Marcelo Viana - Selected Works

Marcelo Viana - Selected Works

Hardcover

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 3031019717
ISBN13: 9783031019715
Publisher: Springer Nature
Published: Oct 26 2022
Pages: 802
Weight: 3.00
Height: 1.34 Width: 6.14 Depth: 9.21
Language: English
Dynamical systems and the twin field ergodic theory have their roots in the qualitative theory of differential equations, developed by the great mathematician Henri Poincaré, and in the kinetic theory of gases built in mathematical terms by physicists James Clerk Maxwell and Ludwig Boltzmann. Together, they aim to model, explain and predict the behavior of natural and artificial phenomena which evolve in time.

For more than three decades, Marcelo Viana has been making several outstanding contributions to this area of mathematics. This volume contains a selection of his research papers, covering a wide range of topics: rigorous theory of strange attractors, physical measures, bifurcation theory, homoclinic phenomena, fractal dimensions, partial hyperbolicity, thermodynamic formalism, non-uniform hyperbolicity, interval exchange maps Teichmüller flows, and the modern theory of Lyapunov exponents.

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Viana, Marcelo

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General Mathematics