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 2007
MATH 511 Stochastic Processes

Winter 2008
MATH 836 Stochastic Calculus and Differential Equations



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. To appear.
Fluid limits for networks with bandwidth sharing and general document size distributions. (PDF)
(with R.J. Williams). Submitted.
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). Proceedings of Markov Processes and Related Topics. To appear.
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.