815 citations · 19.9k across the 406 of their papers we have counts for
10 papers · 1 filter
Persistence of a Continuous Stochastic Process with Discrete-Time Sampling
Satya N. Majumdar, Alan J. Bray, George C. M. A. Ehrhardt
We introduce the concept of `discrete-time persistence', which deals with zero-crossings of a continuous stochastic process, X(T), measured at discrete times, T = n ΔT. For a Gauss…
Spatial Persistence of Fluctuating Interfaces
Satya N. Majumdar, Alan J. Bray
We show that the probability, P_0(l), that the height of a fluctuating (d+1)-dimensional interface in its steady state stays above its initial value up to a distance l, along any l…
Exact Phase Diagram of a model with Aggregation and Chipping
R. Rajesh, Satya N. Majumdar
We revisit a simple lattice model of aggregation in which masses diffuse and coalesce upon contact with rate 1 and every nonzero mass chips off a single unit of mass to a randomly…
Extremal Paths on a Random Cayley Tree
Satya N. Majumdar, P. L. Krapivsky
We investigate the statistics of extremal path(s) (both the shortest and the longest) from the root to the bottom of a Cayley tree. The lengths of the edges are assumed to be indep…
Traveling Waves, Front Selection, and Exact Nontrivial Exponents in a Random Fragmentation Problem
P. L. Krapivsky, Satya N. Majumdar
We study a random bisection problem where an initial interval of length x is cut into two random fragments at the first stage, then each of these two fragments is cut further, etc.…
Slow Logarithmic Decay of Magnetization in the Zero Temperature Dynamics of an Ising Spin Chain: Analogy to Granular Compaction
Satya N. Majumdar, David S. Dean, Peter Grassberger
We study the zero temperature coarsening dynamics in an Ising chain in presence of a dynamically induced field that favors locally the `-' phase compared to the `+' phase. At late…