Giorgis Petridis (source code)

= Giorgis Petridis
{c}

<Giorgis Petridis> works on growth estimates in <additive combinatorics>. His paper gives a short proof of <Plünnecke inequalities> and extensions to product sets in groups.<New Proofs of Plünnecke-type Estimates for Product Sets in Groups by Giorgis Petridis>[Original byline and abstract]{ref}

The proof chooses a subset with a minimal expansion ratio and uses that choice to control further sums. This converts one small-growth hypothesis into bounds for iterated sum-and-difference sets. The noncommutative setting requires separate product-set arguments because the order of multiplication matters.<New Proofs of Plünnecke-type Estimates for Product Sets in Groups by Giorgis Petridis>[Section 2 and Theorem 1.2; section 4]{ref}