# Dynamical fluctuations: a solved example

#### Dynamical fluctuations: a solved example

- Event time: 11:30am until 12:30pm
- Event date: 23rd October 2019
- Speaker: Mr Emil Mallmin (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

In this talk I will apply the tools of dynamical large deviation theory introduced in the previous week's talk (see uploaded .pdf for summary) to a 1D asymmetric random walk conditioned on spending a finite fraction of time at the origin. This problem was first studied by Nyawo & Touchette (PRE 98, 052103 (2018)) in the continuum where they revealed a dynamical phase transition. At a critical time-fraction, there is a transition from trajectories localized around the origin to trajectories which escape after some fraction of time. The lattice version is solvable in closed form and is one of several models examined in a recent publication of mine (J. Phys. A. 52 425002 (2019)).

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