Calculus of probability.

Min-Plus Probability Calculus

We study here the duality appearing between probability calculus and optimization by substituting the semifield (R∪{+∞},min,+) for the standard semiring (R+,+,×).

Reality and Probability: Introducing a New Type of Probability Calculus∗

We consider a conception of reality that is the following: An object is ‘real’ if we know that if we would try to test whether this object is present, this test would give us the answer ‘yes’ with certainty. The knowledge about this certainty we gather from our overall experience with the world. If we consider a conception of reality where probability plays a fundamental role, which we should d...

Malliavin calculus of Bismut type without probability

We translate in semigroup theory Bismut’s way of the Malliavin calculus.

A Fractional Probability Calculus View of Allometry

The scaling of respiratory metabolism with body size in animals is considered by many to be a fundamental law of nature. An apparent corollary of this law is the scaling of physiologic time with body size, implying that physiologic time is separate and distinct from clock time. However, these are only two of the many allometry relations that emerge from empirical studies in the physical, social...

Fréchet on the Calculus of Probability