measure theory
probability theory
(quantum probability)
measurable space, measurable locale
measure, measure space
von Neumann algebra
geometric measure theory
probability space
probability distribution
state
in AQFT and operator algebra
GNS construction
Fell's theorem
entropy, relative entropy
information geometry
information metric
Wasserstein metric
thermodynamics
second law of thermodynamics, generalized second law
ergodic theory
Riesz representation theorem
de Finetti's theorem
law of large numbers
Kolmogorov extension theorem
In measure theory, a probability valuation on a lattice (L,≤,⊥,∨,⊤,∧)(L, \leq, \bot, \vee, \top, \wedge) is a monotonic function μ:L→[0,1]\mu:L \to [0, 1] such that μ(⊥)=0\mu(\bot) = 0, μ(⊤)=1\mu(\top) = 1, and the modularity condition is satisfied: for all elements a,b∈La, b \in L,
unit interval
valuation (measure theory)
sigma-continuous probability valuation
Created on May 4, 2022 at 00:08:41. See the history of this page for a list of all contributions to it.