34 citations · 42 across the 3 of their papers we have counts for
3 papers
math-ph2023
The dual Derrida-Retaux conjecture
Xinxing Chen, Yueyun Hu, Zhan Shi
We consider a recursive system which was introduced by Collet et al. [10] as a spin glass model, and later by Derrida, Hakim, and Vannimenus [13] and by Derrida and Retaux…
math.PR2014★ 8 cited
Accessibility percolation with backsteps
Julien Berestycki, Éric Brunet, Zhan Shi
Consider a graph in which each site is endowed with a value called \emph{fitness}. A path in the graph is said to be "open" or "accessible" if the fitness values along that path is…
math.PR2013★ 34 cited
The number of accessible paths in the hypercube
Julien Berestycki, Éric Brunet, Zhan Shi
Motivated by an evolutionary biology question, we study the following problem: we consider the hypercube where each node carries an independent random variable uniforml…