Time's arrow and self‐locating probability

Probability, Arrow of Time and Decoherence∗

This paper relates both to the metaphysics of probability and to the physics of time asymmetry. Using the formalism of decoherent histories, it investigates whether intuitions about intrinsic time directedness that are often associated with probability can be justified in the context of no-collapse approaches to quantum mechanics. The standard (two-vector) approach to time symmetry in the decoh...

Hidden Determinism, Probability, and Time’s Arrow

In present-day physics the fundamental dynamical laws are taken as a time-translation-invariant and time-reversal-invariant one-parameter groups of automorphisms of the underlying mathematical structure. In this context-independent and empirically inaccessible description there is no past, present or future, hence no distinction between cause and effect. To get the familiar description in terms...

[Arrow poisons--relics of former times?].

Orthogonality and probability: mixing times

We produce the first example of bounding total variation distance to stationarity and estimating mixing times via orthogonal polynomials diagonalization of discrete reversible Markov chains, the Karlin-McGregor approach.

Quantum probability distribution of arrival times and probability current density

Agreement with a conclusive experimental test is the ultimate requirement for establishing the validity of any theoretical proposal. However, discriminating experimentally among different alternatives is not always a straightforward matter. Indeed, under arbitrary experimental conditions it might be no possible to distinguish sufficiently among different conceivable alternatives as to guarantee...