In this talk I will discuss several useful connections between stochastic process and (perturbative) field theory. The talk is organised into three parts:
In the first part, I will motivate the study of the survival probability of one-dimensional non-Markovian processes and its applications to extreme events, as well as present some field-theoretically obtained results concerning their distribution (joint work with G. Pruessner and G. Salbreux). These results are relevant to the study of active matter.
In the second, more technical, part, I will outline how the field-theoretical framework is set up and discuss some mathematical aspects.
In the third part, I will give a (non-technical) overview over various other applications of field-theory to the study of stochastic processes, such as branching processes and fractional Brownian Motion.
Hopefully, the talk provides some useful new tools to researchers working on non-Markovian processes, and serves as a basis for a fruitful discussion.
Zoom link: https://us06web.zoom.us/j/89032196526?pwd=NkZ1U2xST1VXejRTWXNWRFJiM3hudz09
Meeting ID: 890 3219 6526