It is an open problem to show that in two-dimensional first-passage percolation, the sequence of finite geodesics from any point to (n, 0) has a limit in n. In this paper, we consider this question ...

The Annals of Applied Probability, Vol. 23, No. 3 (June 2013), pp. 1074-1085 (12 pages) We construct an edge-weight distribution for i.i.d. first-passage percolation on ℤ 2 whose limit shape is not a ...

With the city experiencing a severe water crisis this summer, the Bangalore Water Supply and Sewerage Board (BWSSB) and the Bruhat Bengaluru Mahanagara Palike (BBMP) plan to construct close to 2,750 ...

Gandhinagar: On Union home minister and Gandhinagar Lok Sabha MP Amit Shah's recommendation to construct as many percolation wells and Khambhati kuvas as possible to mitigate waterlogging and enhance ...

The problem is compounded by forest department officials who seldom inspect footpaths to ensure adequate space is left around ...