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6 papers · 2 filters
A random walk on Z with drift driven by its occupation time at zero
Iddo Ben-Ari, Mathieu Merle, Alexander Roitershtein
We consider a nearest neighbor random walk on the one-dimensional integer lattice with drift towards the origin determined by an asymptotically vanishing function of the number of…
On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
Magda Peligrad, Sunder Sethuraman
A well-known result with respect to the one dimensional nearest-neighbor symmetric simple exclusion process is the convergence to fractional Brownian motion with Hurst parameter 1/…
Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
M. D. Jara, C. Landim, S. Sethuraman
We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the ta…
Occupation laws for some time-nonhomogeneous Markov chains
Zach Dietz, Sunder Sethuraman
We consider finite-state time-nonhomogeneous Markov chains where the probability of moving from state to state at time is for a ``generator'' matrix…
Critical Age Dependent Branching Markov Processes and Their Scaling Limits
Krishna Athreya, Siva Athreya, Srikanth Iyer
This paper studies: (i) the long time behaviour of the empirical distribution of age and normalised position of an age dependent critical branching Markov process conditioned on no…
Growth of preferential attachment random graphs via continuous-time branching processes
K. B. Athreya, A. P. Ghosh, S. Sethuraman
A version of ``preferential attachment'' random graphs, corresponding to linear ``weights'' with random ``edge additions,'' which generalizes some previously considered models, is…