A formal model of Coleman families and applications to Iwasawa invariants

For a given Coleman family of modular forms, we construct a formal model and prove the existence of a family of Galois representations associated to the Coleman family. As an application, we study the variations of Iwasawa λ - and μ -invariants of dual fine (strict) Selmer groups over the cyclotomic ℤ_p -extension of ℚ in Coleman families of modular forms. This generalizes an earlier work of Jha and Sujatha for Hida families.