Thermodynamic Formalism for Dispersing Billiards

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Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Thermodynamic Formalism for Dispersing Billiards

Introduces a functional analytic framework for studying transfer operators in hyperbolic systems.

Geometric Potentials and Pressure

Introduces Banach spaces for geometric potentials and pressure analysis, emphasizing equilibrium states and pressure function analyticity.

Thermodynamics of Simple Subsystems: Heat and Matter Transfer

Explores the thermodynamics of simple subsystems, focusing on heat and matter transfer principles and their irreversible processes.

Thermodynamics: Exploring Thermodynamic Potentials and Equilibrium States

Covers thermodynamic potentials and their role in system equilibrium with reservoirs.

Thermodynamic Potentials: Lagrangian Mechanics and Energy Relations

Discusses the transition from Hamiltonian to Lagrangian mechanics, focusing on thermodynamic potentials and their implications in energy transformations.

Residues Theorem Applications

Explores applications of the residues theorem in various scenarios, with a focus on Laurent series development.

Thermodynamical Formalism and Martin Boundary

Explores SFT, top mixing, Hölder functions, and equilibrium in geodesic flows.

Spatial Curves: Singularities and Mechanisms

Explores spatial curves, singularities, and mechanisms, analyzing their geometric properties and applications.

Heat Transfer: Equilibrium Approach and Thermodynamic Potentials

Reviews heat transfer mechanisms, entropy, and thermodynamic potentials in relation to equilibrium and Carnot cycles.