Mule ESB allows defining variables to store data. Variables can be flow variables, with scope limited to a flow, or session variables, with scope to the entire application. Lists and maps can be defined as Mule variables similarly to how they are defined in Java. A List variable can be set using #[{values}] syntax and accessed using indexes. A Map variable can be set using #[{key:value}] syntax and accessed using keys. An example flow demonstrates reassigning List index values and logging List and Map variable values.