This will be a follow-up of the March 2019 workshop and the 2021 online workshop. As before, the program lies at the juncture of three areas:(1) Probability theory of random processes on negatively curved spaces.(2) Ergodic theory and hyperbolic dynamics (3) hyperbolic geometry.1. Probability:The 2019 workshop laid stress on random walks, while the 2021 workshop emphasized Bernoulli percolation among topics allied with probability. While random walks on hyperbolic groups have received some attention, other random processes, such as first and last passage percolation, are in a barely nascent state. This is not due to a dearth of problems but rather that people with a dual expertise in both the relevant probabilistic methods and a feel for the geometry of negatively curved spaces, are rare.The 2021 workshop addressed this lacuna by having a set of talks on Bernoulli percolation. The 2023 workshop will deal with more advanced themes like Liouville quantum gravity.2. Ergodic theory: Invar...
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