2 papers
math-ph2025
Random walks with homotopic spatial inhomogeneities
Ignacio S Gomez, Daniel Rocha de Jesus, Ronaldo Thibes
In this work we study a generalization of the standard random walk, an homotopic random walk (HRW), using a deformed translation unitary step that arises from a homotopy of the pos…
cond-mat.stat-mech2018
Fractional Fokker-Planck equation from non-singular kernel operators
M. A. F. dos Santos, Ignacio S. Gomez
Fractional diffusion equations imply non-Gaussian distributions that generalise the standard diffusive process. Recent advances in fractional calculus lead to a class of new fracti…