I Arraut - Europhysics Letters, 2023 - iopscience.iop.org
By using the Hamiltonian formulation, we demonstrate that the Merton-Garman equation emerges naturally from the Black-Scholes equation after imposing invariance (symmetry) …
The spontaneous symmetry breaking phenomena applied to Quantum Finance considers that the martingale state in the stock market corresponds to a ground (vacuum) state if we …
We demonstrate that when there is spontaneous symmetry breaking in any system, relativistic or non-relativistic, the dynamic of the Nambu-Goldstone bosons is governed by …
The Revenue Management (RM) problem in airlines for a fixed capacity, single resource and two classes has been solved before by using a standard formalism. In this paper we …
I Arraut, A Au, AC Tse - Europhysics Letters, 2020 - iopscience.iop.org
We analyze the phenomena of spontaneous symmetry breaking in quantum finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations …
Symmetries and their associated conserved quantities are of great importance in the study of dynamic systems. In this paper, we describe nonconservative field theories on time scales …
I Arraut - arXiv preprint arXiv:2406.10644, 2024 - arxiv.org
The information paradox suggests that the black hole loses information when it emits radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum …
The information paradox suggests that the black hole loses information when it emits radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum …
I Arraut - arXiv preprint arXiv:2410.00925, 2024 - arxiv.org
It was demonstrated previously that the stochastic volatility emerges as the gauge field necessary for restoring the local symmetry under changes of the prices of the stocks inside …