498 citations
- University of California, DavisUS23 papers
- University of California, BerkeleyUS19 papers
- University of California, Santa CruzUS8 papers
- Stanford UniversityUS7 papers
- Weizmann Institute of ScienceIL7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Lawrence Berkeley National LaboratoryUS6 papers
- The University of TokyoJP5 papers
- University UcinfCL5 papers
- Princeton UniversityUS4 papers
- The University of MelbourneAU4 papers
- University of British ColumbiaCA4 papers
4 papers · 2 filters
Concave Renewal Functions Do Not Imply DFR Inter-Renewal Times
Yaming Yu
Brown (1980, 1981) proved that the renewal function is concave if the inter-renewal distribution is DFR (decreasing failure rate), and conjectured the converse. This note settles B…
Finite Size Percolation in Regular Trees
Ery Arias-Castro
In the context of percolation in a regular tree, we study the size of the largest cluster and the length of the longest run starting within the first d generations. As d tends to i…
When Knowing Early Matters: Gossip, Percolation and Nash Equilibria
David J. Aldous
Continually arriving information is communicated through a network of agents, with the value of information to the 'th recipient being a decreasing function of , and co…
A sharper threshold for bootstrap percolation in two dimensions
Janko Gravner, Alexander E. Holroyd, Robert Morris
Two-dimensional bootstrap percolation is a cellular automaton in which sites become 'infected' by contact with two or more already infected nearest neighbors. We consider these dyn…