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Explores the stability of the Feigenbaum fixed point with infinite criticality and its applications in chaos theory.

Explores Taylor polynomials for multivariable functions and their applications in function approximation.

Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.

Covers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.

Explores symmetries in quantum field theory, focusing on transformation rules and Casimir operators.