Lectures related to Conservative system

Introduction to Quantum Chaos

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

Metastable Materials: New Perspectives on Discovery

Explores challenges in identifying useful metastable materials and discusses concepts like structure predictions, ensemble probabilities, and mapping algorithms.

Structure of Measure-Preserving Systems

Covers the abstract structure of measure-preserving systems and aims to understand their classification and ergodic decompositions.

Applications of Ergodic Theory to Combinatorics

Explores the applications of ergodic theory to combinatorics and number theory, including Szemerédi's Theorem and the Erdős-Kac Theorem.

Understanding Argadir Pumps

Covers the joint equidistribution of CM points, focusing on the understanding of Argadir pumps.

Chaos: Irregular Trajectories and Sensitivity to Initial Conditions

Explores chaos, irregular trajectories, and sensitivity to initial conditions in dynamical systems.

Equidistribution of CM Points

Explores the equidistribution of CM points and the implications of ergodicity in measure-preserving systems.

Mild Dissipative Surface Dynamics

Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.

Generalized Oscillator: Vibratory Mechanics

Explores the concept of a generalized oscillator in vibratory mechanics and its application to a two-degree-of-freedom system.

Determinantal Point Processes and Extrapolation

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Mixing Properties of Infinite Measure Preserving Systems

Explores mixing properties of infinite measure preserving systems, focusing on suspensions, Govers transformations, and Lorentz gas.

Renormalization of Hénon maps

Covers the renormalization of Hénon maps with zero entropy, focusing on integrable systems and attractors.

Generalized Noise and Irreversibility

Explores the relation between resistance and force fluctuations in dissipative systems, with applications to various phenomena.

Ergodic properties in exponential dynamics

Explores ergodic properties in exponential dynamics, emphasizing dense orbits and specific functions.

Joint Equidistribution of CM Points

Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.

A Conjecture of Erdös: Proof by Moreira, Richter and Robertson

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Linear Response and Complex Diffusivity

Explores martingale-based linear response, complex diffusivity, and Nyquist relation in stochastic systems with time-dependent perturbation.

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Frequency Domain Analysis

Explores system analysis in the frequency domain, covering sinusoidal transfer functions, resonant frequencies, and filter design.

Correlations of the Liouville function

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.