The Arithmetic of Polynomial Dynamical Pairs

New mathematical research in arithmetic dynamics In The Arithmetic of Polynomial Dynamical Pairs , Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomial with a marked point. Combining tools from arithmetic geometry and holomorphic dynamics, they prove an “unlikely intersection” statement for such pairs, thereby demonstrating strong rigidity features