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- S.N. Bose National Centre for Basic SciencesIN60 papers
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5 papers · 2 filters
Strong laws for balanced triangular urns
Arup Bose, Amites Dasgupta, Krishanu Maulik
Consider an urn model whose replacement matrix is triangular, has all entries nonnegative and the row sums are all equal to one. We obtain the strong laws for the counts of balls c…
Survival of contact processes on the hierarchical group
Siva R. Athreya, Jan M. Swart
We consider contact processes on the hierarchical group, where sites infect other sites at a rate depending on their hierarchical distance, and sites become healthy with a constant…
Distal actions and shifted convolution property
C. R. E. Raja, R. Shah
A locally compact group is said to have shifted convolution property (abbr. as SCP) if for every regular Borel probability measure on , either $\sup_{x\in G} μ^n (Cx) \r…
On the Cluster Size Distribution for Percolation on Some General Graphs
Antar Bandyopadhyay, Jeffrey Steif, Adam Timar
We show that for any Cayley graph, the probability (at any ) that the cluster of the origin has size n decays at a well-defined exponential rate (possibly 0). For general graphs…
Maxima of Dirichlet and triangular arrays of gamma variables
Arup Bose, Amites Dasgupta, Krishanu Maulik
Consider a rowwise independent triangular array of gamma random variables with varying parameters. Under several different conditions on the shape parameter, we show that the seque…