# The Umwelt of an embodied agent—a measure-theoretic definition

@article{Ay2015TheUO,
title={The Umwelt of an embodied agent—a measure-theoretic definition},
author={Nihat Ay and Wolfgang L{\"o}hr},
journal={Theory in Biosciences},
year={2015},
volume={134},
pages={105-116}
}
• Published 9 December 2015
• Computer Science, Medicine, Mathematics, Physics
• Theory in Biosciences
We consider a general model of the sensorimotor loop of an agent interacting with the world. This formalises Uexküll’s notion of a function-circle. Here, we assume a particular causal structure, mechanistically described in terms of Markov kernels. In this generality, we define two $$\sigma$$σ-algebras of events in the world that describe two respective perspectives: (1) the perspective of an external observer, (2) the intrinsic perspective of the agent. Not all aspects of the world, seen from…

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