There is no performance overhead, Elixir is equivalent to Erlang in that they both compile down to beam overhead.
I understand that it runs on BEAM, much like I understand that IronPython runs on the CLR.
However, IronPython's performance is slower than C#'s performance due to the dynamic nature of the language, even with the special builtin support that MS built in.
What I was asking is whether or not Elixir's performance characteristics were significantly different from Erlangs.
Those are different cases. Your question is more like "what is faster: C or Fortran?" than "what is faster: C or Python?".
> However, IronPython's performance is slower than C#'s performance due to the dynamic nature of the language
No. It's slower because IronPython is an interpreter, while C# compiles to byte code, not because one is statically typed and the other is dynamically typed.
It dynamically generates IL which is then JIT'd.