2 papers
math.PR2025
Elephant Random Walk with multiple extractions
Simone Franchini
Consider a generalized Elephant Random Walk in which the step is chosen by selecting previous steps with odd and then going in the majority direction with a probability …
cond-mat.dis-nn2018
Free energy of bipartite Sherrington-Kirkpatrick model
Liming Pan, Simone Franchini
In this paper we study the bipartite version of Sherrington-Kirkpatrick model. We prove that the free energy density is given by an analogue of the Parisi formula, that contains bo…