401 citations · 1.2k across the 62 of their papers we have counts for
5 papers · 1 filter
Information, Inflation, and Interest
Lane P. Hughston, Andrea Macrina
We propose a class of discrete-time stochastic models for the pricing of inflation-linked assets. The paper begins with an axiomatic scheme for asset pricing and interest rate theo…
Dam Rain and Cumulative Gain
Dorje C. Brody, Lane P. Hughston, Andrea Macrina
We consider a financial contract that delivers a single cash flow given by the terminal value of a cumulative gains process. The problem of modelling and pricing such an asset and…
Geometry of PT-symmetric quantum mechanics
Carl M. Bender, Dorje C. Brody, Lane P. Hughston +1
Recently, much research has been carried out on Hamiltonians that are not Hermitian but are symmetric under space-time reflection, that is, Hamiltonians that exhibit PT symmetry. I…
Information-Based Asset Pricing
Dorje C. Brody, Lane P. Hughston, Andrea Macrina
A new framework for asset price dynamics is introduced in which the concept of noisy information about future cash flows is used to derive the price processes. In this framework an…
Unitarity, ergodicity, and quantum thermodynamics
Dorje C. Brody, Daniel W. Hook, Lane P. Hughston
This paper is concerned with the ergodic subspaces of the state spaces of isolated quantum systems. We prove a new ergodic theorem for closed quantum systems which shows that the e…