Christian Gromoll
Department of Mathematics
University of Virginia
Charlottesville, VA 22903

Tel: (434) 924 4152
Fax: (434) 982 3084



I'm an assistant professor of mathematics at UVA.

I coorganize the UVA Probability Seminar.

Teaching (previous courses are here)


Fall 2009
MATH 5110 Introduction to Stochastic Processes
MATH 7360 Probability Theory I

Spring 2010
On leave.



Research


I work in probability, stochastic processes, and their applications. I've been focusing on proving scaling limit theorems for classes of stochastic networks, using measure-valued processes to deal with complex state spaces. Recently, I've also become interested in mathematical biology, and am collaborating on a project involving the structure of tumor genomes.

Publications
The fluid limit of a heavily loaded processor sharing queue. (PDF)
(with A.L. Puha and R.J. Williams). Annals of Applied Probability 12 797-859 2002.
Diffusion approximation of a processor sharing queue in heavy traffic. (PDF)
Annals of Applied Probability 14 555-611 2004.
The impact of reneging in processor sharing queues. (PDF)
(with Ph. Robert, B. Zwart, and R. Bakker.). In ACM-Sigmetrics, Saint Malo, June 2006. ACM/IFIP WG 7.3.
Heavy traffic limit for a processor sharing queue with soft deadlines. (PDF)
(with L. Kruk). Annals of Applied Probability 17 1049-1101 2007.
Fluid limits for processor sharing queues with impatience. (PDF)
(with Ph. Robert, and B. Zwart). Mathematics of Operations Research. 33 375-402 2008.
Fluid limits for networks with bandwidth sharing and general document size distributions. (PDF)
(with R.J. Williams). Annals of Applied Probability. 19 243-280 2009
Fluid model for a data network with alpha-fair bandwidth sharing and general document size distributions: two examples of stability. (PDF)
(with R.J. Williams). IMS Collections - Markov Processes and Related Topics: A Festschrift for Thomas G. Kurtz. 4 253-265 2008.
Fluid limits for shortest remaining processing time queues. (PDF)
(with D.G. Down and A.L. Puha). Mathematics of Operations Research To appear.
State-dependent response times via fluid limits for shortest remaining processing time queues. (PDF)
(with D.G. Down and A.L. Puha). SIGMETRICS Performance Evaluation Review 37 75-76 2009.
Heavy traffic analysis of a machine repair model with gated head-of-the-line service.
(with D. Denteneer). In preparation.
Sojourn time analysis of a closed queueing system with Partial Random Order of Service.
(with O.J. Boxma, D. Denteneer, and R. Rietman). In preparation.