4 papers
Beneath the kinetic interpretation of noise
Carlos Escudero, Helder Rojas
Diffusion theory establishes a fundamental connection between stochastic differential equations and partial differential equations. The solution of a partial differential equation…
Stochastic cloaking: concealing a region from diffusive particles
Connor Roberts, Ziluo Zhang, Helder Rojas +4
We introduce "stochastic cloaking," where a region of space is concealed from an ensemble of diffusing particles whose individual trajectories are governed by a stochastic (Langevi…
Three-level qualitative classification of financial risks under varying conditions through first passage times
Carlos Bouthelier-Madre, Carlos Escudero
This work focuses on financial risks from a probabilistic point of view. The value of a firm is described as a geometric Brownian motion and default emerges as a first passage time…
Time evaluation of portfolio for asymmetrically informed traders
Bernardo D'Auria, Carlos Escudero
We study the anticipating version of the classical portfolio optimization problem in a financial market with the presence of a trader who possesses privileged information about the…