Ph.D., 1965, University of Minnesota

Professor Emeritus

Department of Mathematics

(608) 263-4283

**Associate Editor**

*Journal of Theoretical Probability*

**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 multiple generations of a branching process**

**Another view of the CLT in Banach spaces **

(with Joel Zinn), Journal of Theoretical Probability, 21 (2008), 982-1029.

**Interpolation spaces and the CLT in Banach spaces**

(with Joel Zinn), IMS Collections, High Dimensional Probability V: The Luminy Volume, 5 (2009), 73-83.

**Functional limit laws of Strassen and Wichura type for multiple generations of a branching process**

(with Anand Vidyashankar), IMS Collections, High Dimensional Probability V: The Luminy Volume, 5 (2009), 131-152.

**Weak Convergence results for multiple generations of branching processes**

(with Anand Vidayshankar), Journal of Theoretical Probability, 24(2011), pp. 376-396.

**Asymptotic inference for high dimensional data**

(with Anand Vidayshankar), Annals of Statistics, 38 (2010), 836-869.

**Half-region depth for stochatic processes**

(with Joel Zinn), submitted, October 2012.

**A CLT for empirical processes involving time-dependent data**

(with Thomas Kurtz and Joel Zinn), Ann. Probab. (2013), vol. 41, no. 2, 785-816.

**Cluster sets for partial sums and partial sum proceses**

(with Uwe Einmahl), Ann. Probab.(2014), vol. 42, no. 3, 1121-1160.

**Empirical quantile clt's for time dependent data**

(with Joel Zinn), Progress in Probab, HDP-VI (2013), no. 66, 169-196.

**Concerns with functional depth**

(with Joel Zinn), ALEA, Lat. Am. Probab. Math. Stat (2013), vol. 10, no. 2, 831-855.

**Empirical quantile CLTs for some self-similar processes**

(with Joel Zinn), J. Theor. Probab. published online 4 September 2013

Probability, Stochastic Processes, Limit Theorems in Infinite Dimensional Settings