Here are some other words that can be used as synonyms for mimesis, depending on the specific context:
General synonyms:
* Representation
* Simulation
* Copying
* Reproduction
* Re-creation
* Emulation
Synonyms related to art and literature:
* Depiction
* Portrayal
* Rendering
* Echo
* Reflection
Synonyms related to psychology and behavior:
* Modeling
* Learning by observation
* Social learning
The best synonym for "mimesis" will depend on the specific context in which you are using it.