Professor Jim Kuelbs, Emeritus

Ph.D., 1965, University of Minnesota
Professor
Department of Mathematics
(608) 263-4089
kuelbs@math.wisc.edu

Editorships

Associate Editor
Journal of Theoretical Probability

Selected Publications

Metric Entropy and Small Ball Problem for Gaussian Measures
(with Wenbo Li), Journal of Functional Analysis, 115, (1993)
Liminf Results for Gaussian Samples and Chung's F.L.I.L.
(with Wenbo Li and Michel Talagrand), Annals of Probability, 22, (1994)
Dominating Points and Large Deviations for Random Vectors
(with Uwe Einmahl), Prob. Theor. Related Fields, 105, (1996)
Refined Gibbs Conditioning Principle for Certain Infinite Dimensional Statistics
(with Amir Dembo), Studia Sci. Math Hungarica, 34,(1998)
A General Compact LIL in Banach Spaces
(with Uwe Einmahl), Proceedings on High Dimensional Probability II, Birkhauser, Progress in Probability (1999), pp 259-276
A Functional LIL for Symmetric Stable Processes
(with W. Li and X. Chen), Annals of Probability, 28, (2000)
Large Deviation Probabilities and Dominating Points for Open Convex Sets: non-logarithmic behavior
Annals of Probability, vol. 28 (2000), pp1259-1279
Cluster Sets for a General LIL in Banach Spaces
(with Uwe Einmahl), Annals of Probability, vol. 29 (2001), pp 1451-1475
Rates of convergence for the Nummelin Conditional Weak Law of large numbers
(with Ana Mela), Stoch. Proc. and their Applications, 98 (2002), pp. 229-252.
Moderate deviation probabilities for open convex sets: nonlogarithmic behavior
(with Uwe Einmahl), Ann. Probab., 32 (2004), pp. 1316-1355.
A functional LIL for stochastic integrals and the Levy area process
(with Wenbo Li) Journal of Theoretical Probability, 18 (2005), pp. 261-290.
Path properties of multi-generational samples from a supercritical Galton-Watson process
(with Anand Vidyashankar) submitted for publication.
Some new CLT and compact LIL results
(with Joel Zinn), to appear in the Journal of Theoretical Probability.

Research Interests

Probability, Stochastic Processes, Limit Theorems in Infinite Dimensional Settings