Thomas Phan

Réalisation de pulls de promo pour différentes écoles, T-shirts, Tote Bag, Eco-cup et logo pour des associations

• • Developed a continuous-state model inspired by the system chaotic financial dynamics.

• • Simulated nonlinear differential equations with Python (Runge–Kutta) to oscillations, and convergence. Applied Jacobian and eigenvalue analysis to equilibrium points and transitions to chaos.

Studied Van der Waerden's inequality using probabilistic techniques; applied Bienaymé–Tchebychev inequality to lower-bound variance – Developed Python simulations to generate random bistochastic matrices and compute permanents; validated convergence numerically. – Graph theory, matrices analysis, combinatorics, probability inequalities, numerical simulation Crowd flow modeling for the 2024 Paris Olympics: – Modeled metro traffic using weighted graphs; implemented Dijkstra's algorithm for shortest paths; compared with Google Maps outputs. – Simulated congestion dynamics via stochastic allocation models under capacity constraints; analyzed Laplacian eigenvalues and station centrality.