p-adic models of ultrametric diffusion, Linear and Logarithmic landscapes, first passage time problem and survival probability
Torresblanca-Badillo, Anselmo ; Garcia, Ismael Gutierrez
arXiv, 1812.04965 / Harvested from arXiv
Text on arXiv
In this article we study certain p-adic master equations of some models of complex systems, which are connected with energy landscapes of the linear and logarithmic types. These equations were introduced by Avetisov. In a different way we will show that the fundamental solutions of these equations are transition density functions of strong Markov processes with state space Q_{p}^{n}. We study some aspects of these processes, including the first passage time problem and the survival probability.
Publié le : 2018-12-11
Classification:  Mathematical Physics 
@article{1812.04965,
     author = {Torresblanca-Badillo, Anselmo and Garcia, Ismael Gutierrez},
     title = {p-adic models of ultrametric diffusion, Linear and Logarithmic
  landscapes, first passage time problem and survival probability},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1812.04965}
}

Torresblanca-Badillo, Anselmo; Garcia, Ismael Gutierrez. p-adic models of ultrametric diffusion, Linear and Logarithmic
  landscapes, first passage time problem and survival probability. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1812.04965/