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20022026
most citedFermi Large Area Telescope Fourth Source Catalog

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8 papers · 1 filter

math.PR2017★ 1 cited

Noncentral limit theorem for the generalized Rosenblatt process

Denis Bell, David Nualart

We use techniques of Malliavin calculus to study the convergence in law of a family of generalized Rosenblatt processes with kernels defined by parameters taking values i…

math.PR2013★ 1 cited

Some Asymptotic Results for the Transient Distribution of the Halfin-Whitt Diffusion Process

Qiang Zhen, Charles Knessl

We consider the Halfin-Whitt diffusion process , which is used, for example, as an approximation to the -server queue. We use recently obtained integral represen…

math.PR2013★ 2 cited

Asymptotic Analysis of Spectral Properties of Finite Capacity Processor Shared Queues

Qiang Zhen, Charles Knessl

We consider sojourn (or response) times in processor-shared queues that have a finite customer capacity. Computing the response time of a tagged customer involves solving a finite…

math.PR2013★ 3 cited

On Spectral Properties of Finite Population Processor Shared Queues

Qiang Zhen, Charles Knessl

We consider sojourn or response times in processor-shared queues that have a finite population of potential users. Computing the response time of a tagged customer involves solving…

math.PR2013

On the Sojourn Time Distribution in a Finite Population Markovian Processor Sharing Queue

Qiang Zhen, Johan S. H. van Leeuwaarden, Charles Knessl

We consider a finite population processor-sharing (PS) queue, with Markovian arrivals and an exponential server. Such a queue can model an interactive computer system consisting of…

math.PR2009★ 5 cited

On a Processor Sharing Queue That Models Balking

Qiang Zhen, Johan S. H. van Leeuwaarden, Charles Knessl

We consider the processor sharing -PS queue which also models balking. A customer that arrives and sees others in the system "balks" (i.e., decides not to enter) with pr…

math.PR2007

Divergence theorems in path space III: hypoelliptic diffusions and beyond

Denis Bell

Let denote a diffusion process defined on a closed compact manifold. In an earlier article, the author introduced a new approach to constructing admissible vector fields on the…

math.PR2006★ 1 cited

Quasi-invariant measures on the path space of a diffusion

Denis Bell

The author has previously constructed a class of admissible vector fields on the path space of an elliptic diffusion process taking values in a closed compact manifold. In this…