In this talk I will insult your intelligence by showing a
non-original proof of the Central Limit Theorem, with
not-particularly-good error bounds. However, the proof is very
simple and flexible, allowing generalizations to multidimensional
and...
I will introduce some example of models of Statistical Mechanics
that are called 'weak-universal' and I will discuss the role of the
extended scaling relations for the critical indexes. Finally I will
mention some results and some works in progress...
I'll describe joint work (in progress) with Ghaith Hiary on
implementing and running Hiary's O(t^1/3) algorithm for computing
the zeta function and give some highlights of recent
computations.
A beautiful conjecture of Erd\H{o}s-Simonovits and Sidorenko
states that if H is a bipartite graph, then the random
graph with edge density p has in expectation
asymptotically the minimum number of copies of H over all
graphs of the same order and...
