Canonical Hamiltonian Systems in Symplectic Statistical Manifolds

Explore canonical Hamiltonian systems in symplectic statistical manifolds in this 25-minute conference talk from GSI. Delve into the intersection of Hamiltonian mechanics and statistical geometry, examining how these systems are represented and analyzed within the framework of symplectic manifolds. Gain insights into the mathematical structures underlying statistical physics and information geometry, and discover how Hamiltonian dynamics can be applied to statistical models. Learn about the connections between classical mechanics, information theory, and statistical inference in this advanced presentation on the cutting-edge of mathematical physics and geometry.