A Betchov-Type Hydrodynamic Formulation of the Ivancevic Option-Pricing Equation
arXiv:2606.13881. Under revision.
Sinusoidal Feature Mapping for Robust Option Pricing with Physics-Informed Neural Networks
with V. Patel and K. S. Patel. Under revision.
Pseudorandomness of the Schrödinger Map Equation
Acta Applicandae Mathematicae 193, 10, (2024). arXiv:2311.01611
Understanding Surgical Smoke in Laparoscopy through Lagrangian Coherent Structures
with C. Crowley, M. F. Khan, M. D. Bustamante, R. Cahill, and K. Nolan
PLoS ONE 18(11), e0293287 (2023) · arXiv:2501.16387
On Lagrangian Coherent Structures in Laparoscopy
with C. Crowley, M. F. Khan, M. D. Bustamante, R. Cahill, and K. Nolan
arXiv:2212.12763
Static and Dynamical Fractional Uncertainty Principles
with F. Ponce-Vanegas and L. Vega
Transactions of the American Mathematical Society 375(8), 5691–5725, (2022) arXiv:2103.03794
On the Schrödinger Map for Regular Helical Polygons in Hyperbolic Space
Nonlinearity 35(1), 84–109, (2022) · arXiv:2010.12045
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane
with F. de la Hoz and L. Vega
Journal of Nonlinear Science 32(9), (2022) · arXiv:2007.04944
On the Evolution of the Vortex Filament Equation for Regular (M)-Polygons with Nonzero Torsion
with F. de la Hoz and L. Vega
SIAM Journal on Applied Mathematics 80(2), 1034–1056, (2020).
The Frisch–Parisi Formalism for Fluctuations of the Schrödinger Equation
with F. Ponce-Vanegas, L. Roncal, and L. Vega
In Mathematical Physics and Its Interactions, Springer Proceedings in Mathematics & Statistics, Vol. 451, pp. 199–223, (2024)· arXiv:2202.06645
Safe Trajectory of a Piece Moved by a Robot
with T. Babb, E. Benedito, O. Bond, J. R. Pacha, and J. Solà-Morales
In Applications of Industrial Mathematics, RSME–Springer Series, Vol. 8, pp. 31–52, (2023). arXiv:2011.03330
Recent Progress on the Vortex Filament Equation for Regular Polygons
TEMat Monográficos 2, Proceedings of the 3rd BYMAT Conference, pp. 235–238, (2021).
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane
with F. de la Hoz and L. Vega
Proceedings of CEDYA + CMA 2017, Cartagena, Spain, pp. 379–384, (2017).
Vortex Filament Equation for some Regular Polygonal Curves (PhD thesis).
Mathematical models and numerical methods for Reaction-Diffusion problems in composite media (Master thesis).