most citedThe classification of preordered spaces in terms of monotones: complexity and optimization

8 citations · 24 across the 8 of their papers we have counts for

collaborators

8 papers

cond-mat.stat-mech2022★ 4 cited

Thermodynamic fluctuation theorems govern human sensorimotor learning

Pedro Hack, Cecilia Lindig-Leon, Sebastian Gottwald +1

The application of thermodynamic reasoning in the study of learning systems has a long tradition. Recently, new tools relating perfect thermodynamic adaptation to the adaptation pr…

cond-mat.stat-mech2022★ 1 cited

Majorization requires infinitely many second laws

Pedro Hack, Daniel A. Braun, Sebastian Gottwald

Majorization is a fundamental model of uncertainty with several applications in areas ranging from thermodynamics to entanglement theory, and constitutes one of the pillars of the…

math.LO2022

Countability constraints in order-theoretic approaches to computability

Pedro Hack, Daniel A. Braun, Sebastian Gottwald

Computability on uncountable sets has no standard formalization, unlike that on countable sets, which is given by Turing machines. Some of the approaches to define computability in…

cs.LO2022★ 1 cited

Computation as uncertainty reduction: a simplified order-theoretic framework

Pedro Hack, Daniel A. Braun, Sebastian Gottwald

Although there is a somewhat standard formalization of computability on countable sets given by Turing machines, the same cannot be said about uncountable sets. Among the approache…

math.CO2022★ 2 cited

The infinite information gap between mathematical and physical representations

Pedro Hack, Daniel A. Braun, Sebastian Gottwald

Partial orders have been used to model several experimental setups, going from classical thermodynamics and general relativity to the quantum realm with its resource theories. In o…

math.CO2022★ 8 cited

The classification of preordered spaces in terms of monotones: complexity and optimization

Pedro Hack, Daniel A. Braun, Sebastian Gottwald

The study of complexity and optimization in decision theory involves both partial and complete characterizations of preferences over decision spaces in terms of real-valued monoton…