Notes collect my personal notes I took during my university studies. They have a very high variance in terms of quality, and mostly are kept as a bank of information I used to prepare for my exams. Since others might find notes helpful, I share them here on my website.
Gran parte di quanto scrivo ora è tratto da (Li & Vitányi 2019) . Chaitin, Kolmogorov e Solomonoff hanno elaborato il tema in modo indipendente e allo stesso tempo verso gli anni '60! Solomonoff lo ha trovato sul problema dell'induzione all'età di 38 anni, Kolmogorov invece…
Sobolev Spaces # Motivation & Setup # PDE theory and the calculus of variations require function spaces in which (i) differentiation makes sense for non-smooth functions, (ii) the space is complete under an L p -flavored norm, and (iii) one can embed into L q or Hölder…
A Crash Course in Topology # This is a tour of the landmarks beyond Topological Spaces and Metric Spaces . Order of climb: first see how topologies are generated , then ascend the axiom ladder (separation, countability, compactness), then meet the invariants (algebraic topology,…