86 citations · 187 across the 33 of their papers we have counts for
10 papers · 1 filter
Attribute network models, stochastic approximation, and network sampling and ranking algorithms
Nelson Antunes, Sayan Banerjee, Shankar Bhamidi +1
We analyze dynamic random network models where younger vertices connect to older ones with probabilities proportional to their degrees as well as a propensity kernel governed by th…
Domain and range symmetries of operator fractional Brownian fields
Gustavo Didier, Mark M. Meerschaert, Vladas Pipiras
An operator fractional Brownian field (OFBF) is a Gaussian, stationary increment R^n-valued random field on R^m that satisfies the operator self-similarity property {X(c^E t)}_{t i…
Exponents of operator self-similar random fields
Gustavo Didier, Mark M. Meerschaert, Vladas Pipiras
If X(c^E t) and c^H X(t) have the same finite-dimensional distributions for some linear operators E and H, we say that the random vector field X(t) is operator self-similar. The ex…
On integral representations of operator fractional Brownian fields
Changryong Baek, Gustavo Didier, Vladas Pipiras
Operator fractional Brownian fields (OFBFs) are Gaussian, stationary-increment vector random fields that satisfy the operator self-similarity relation {X(c^{E}t)}_{t in R^m} L= {c^…
Admission Control for Multidimensional Workload with Heavy Tails and Fractional Ornstein-Uhlenbeck Process
Amarjit Budhiraja, Vladas Pipiras, Xiaoming Song
The infinite source Poisson arrival model with heavy-tailed workload distributions has attracted much attention, especially in the modeling of data packet traffic in communication…
Exponents, symmetry groups and classification of operator fractional Brownian motions
Gustavo Didier, Vladas Pipiras
Operator fractional Brownian motions (OFBMs) are zero mean, operator self-similar (o.s.s.), Gaussian processes with stationary increments. They generalize univariate fractional Bro…