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Joanna Mitro

Professor and Associate Dean for Undergraduate Affairs
4150N EDWARDS 1 Edwards Center
513-556-2450
joanna.mitro@uc.edu
http://math.uc.edu/~mitroj

Professional Summary

EDUCATION: MA (1973) and PhD (1977)(mathematics), U. California, San Diego; studies in applied probability (1973-74), Case Western Reserve University; BA (mathematics) Brown University EXPERIENCE: Visiting Lecturer, University of Illinois, Champaign - Urbana, 1977-80 Assistant Professor, University of Cincinnati, 1980-85 Associate Professor, University of Cincinnati, 1985-92 Professor, University of Cincinnati, 1992- All University Graduate Faculty, 1985- Acting Head, Department of Mathematical Sciences, 2000-2001 Lady Davis Visiting Professor, Technion, Haifa, Israel, Spring, 1986 Visiting Scholar, Purdue University, Fall Semester 1997 DISSERTATIONS SUPERVISED Patricia Cerrito, "Random Walks and Measures on Topological Groups and Semigroups", Ph.D., 1982 Mokhtar Konsowa, "Random Walks on Trees", Ph.D., 1988.

Education

PhD, U. California, San Diego, 1977.

Research Interests

Areas of expertise: Probability and stochastic processes (especially Markov processes); stochastic modelling.

Research Support

NSF Grant , University of Cincinnati . (DMS-9974257 ); Funded 1999

Taft Conference Grant , Funded 1999

Faculty Development Grant , Funded 1996

NSF-AWM Travel Grant , Funded 1992

Faculty Development Grant , College of Arts and Sciences . Funded 06-1991

NSF Grant , University of Cincinnati. (DMS-8710027 ); Funded 1987 to 1990.

NSF Grant , University of Cincinnati. (DMS-8601042 ); Funded 1986 to 1987.

Taft Summer Grants-in-Aid of Research Grant , University of Cincinnati . Funded 1984

Taft Summer Grants-in-Aid of Research, University of Cincinnati. Funded 1981

NSF Grant, University of Illinois. Funded 1978 to 1980.

Published Abstracts

(1985). Duality and Semi-Regenerative Systems [Abstract]. Stoch. Proc. Appl., 19, 18-19.

Peer Reviewed Publications

Konsowa, M. (1991). The type problem for random walks on trees. J. Theoretical Probability, 4, 535-550.

Glover, J. (1990). Symmetries and Functions of Markov Processes. Annals of Probability, 18, 655-668.

Kaspi, H. (1988). Homogeneous Random Measures for Markov Processes: Study via an Entrance Boundary. Stoch. Proc. Appl., 29, 291-308.

(1986). A Discontinuous Time Change for Natural Additive Functionals which Preserves Duality. Prob. Th. Rel. Fields, 72, 463-470.

(1986). A Note on Discontinuous Time Changes for Markov Processes. Stoch. Proc. Appl., 23, 343-348.

(1984). Exit Systems for Dual Markov Processes. Z. Wahrscheinlichkeitstheorie Verw. Geb., 66, 259-267.

(1984). Time Reversal Depending on Local Time. Stochastic Processes Appl., 18, 171-177.

(1983). An Application of Time Reversal to Brownian Local Time. Ann. Prob., 11, 225-226.

(1979). Dual Markov Processes: Construction of a Useful Auxiliary Process. Z. Wahrscheinlichkeitstheorie Verw. Geb., 47, 139-156.

(1979). Dual Markov Functionals: Applications of a Useful Auxiliary Process. Z. Wahrscheinlichkeitstheorie Verw. Geb., 48, 97-114.

Reviews

(1991). General Theory of Markov Processes. Stochastics and Stochastics Reports, 187-189.

(1991). Probabilites et Potentiel (Ch.XII-XVI). Bulletin (New Series) of the AMS, 471-477.

(1984). Stochastic Models in Operations Research, Vol. I: Stochastic Processes and Operating Characteristics.Industrial Engineering,

Other Publications

(1986). A Time Reversal Study of Exit/Entrance Processes. Seminar on Stochastic Processes. Boston: Birkhauser.

(1986). Discontinuous Time Changes and Duality for Markov Processes. Seminar on Stochastic Processes. Boston: Birkhauser.

Atkinson, B. (1983). Applications of Revuz and Palm Type Measures for Additive Functionals in Weak Duality. Seminar on Stochastic Processes. Boston: Birkhauser.

Invited Presentations

(1997). Markov Functions. Purdue University Probability Seminar

(09-1991). Random Walks on (Random) Trees. Department of Mathematics, University of Louisville.

(03-1990). Some probabilistic problems on trees. Combinatorics Seminar, University of Pennsylvania.

(01-1990). Symmetries and Functions of Markov Processes. Special Session on Markov Processes and Stochastic Analysis, AMS Meeting, Louisville, KY.

(03-1988). Homogeneous Random Measures for Markov Processes. Special Session on Topics in Stochastic Processes, AMS Meeting, Knoxville, Tennessee.

(11-1986). Discontinuous Time Changes of Markov Processes. Department of Mathematics, University of Maryland.

(09-1985). Rearranging the Paths of Markov Processes. Department of Mathematics, University of Florida.

(03-1985). A Discontinuous Time Change for Natural Additive Functionals which Preserves Duality. Special Session on Stochastic Analysis and Related Topics, AMS Meeting, Chicago, IL.

(12-1984). Discontinuous Time Changes for Markov Processes and Duality. Indiana University Department of Mathematics

(1982). More Applications of the Auxiliary Process. Seminar on Stochastic Processes, Northwestern University.

Lectures

(06-1988). Random Walks on Trees. Technion, Haifa, Israel.

(05-1986). Time Changes for Dual Markov Processes. Mathematics Department, Tel Aviv University, Tel Aviv, Israel.

(04-1986). Time Changes for Dual Markov Processes. Statistics Department, Hebrew University, Jerusalem, Israel.

(06-1984). Duality and Semi-Regenerative Systems. 14th Conference on Stochastic Processes and Their Applications, Gothenberg, Sweden.

(1981). Balayage for Dual Processes. Reversibilitat und Dualitat, Mathematisches Forschungsinstitut, Oberwolfach, Germany.

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