2 citations · 4 across the 11 of their papers we have counts for
12 papers
Naturality characterizes product measures and relative product measures
Victor Bloch, Tobias Fritz
We show that the product measure is the only natural way to assign to each pair of probability measures on measurable spaces a probability measure on their product. Here, naturalit…
Dynamics from iterated averaging
Tobias Fritz, Nicolás Rivera
We prove that for a standard Lebesgue space , the strong operator closure of the semigroup generated by conditional expectations on contains the group of measure-p…
Categories of abstract and noncommutative measurable spaces
Tobias Fritz, Antonio Lorenzin
Gelfand duality is a fundamental result that justifies thinking of general unital -algebras as noncommutative versions of compact Hausdorff spaces. Inspired by this perspectiv…
Empirical Measures and Strong Laws of Large Numbers in Categorical Probability
Tobias Fritz, Tomáš Gonda, Antonio Lorenzin +2
The Glivenko--Cantelli theorem is a uniform version of the strong law of large numbers. It states that for every IID sequence of random variables, the empirical measure converges t…
Hyperdeterminism? Spacetime 'Analyzed'
Lu Chen, Tobias Fritz
When modelling spacetime and classical physical fields, one typically assumes smoothness (infinite differentiability). But this assumption and its philosophical implications have n…
Optimizing over iid distributions and the Beat the Average game
Pierre C Bellec, Tobias Fritz
A casino offers the following game. There are three cups each containing a die. You are being told that the dice in the cups are all the same, but possibly nonstandard. For a bet o…