Craig L. Zirbel Contact information Department of Mathematics and Statistics Bowling Green State University Bowling Green, OH 43403-0206 Office: 438 Mathematical Sciences Building (419) 372-7466 office and voice mail (419) 372-6092 fax

Matlab program files

• FR3D: Find RNA 3D motifs (Current research)
• Applied probability (Math 445/545)
• Calculus III (Math 233)
• Ergodic theory (Math 682 Summer 2001)
• Images
• Linear algebra (Math 332)
• Random fields and image modeling (Math 682 Summer 2002)
• Resources for teaching mathematics (Math 591)
• Sound recording and analysis
• Stochastic processes (Math 644)
• Stochastic differential equations (Math 682)
• Technology for teaching mathematics (Math 592)
• RNA biochemistry (Chem 694 Summer 2007)
• Wavelets

Publications

Probabilistic modeling of RNA molecules

• (2006) FR3D: Finding Local and Composite Recurrent Structural Motifs in RNA 3D Structures, by Michael Sarver · Craig L. Zirbel · Jesse Stombaugh · Ali Mokdad · Neocles B. Leontis, to appear in the Journal of Mathematical Biology.  The original publication is available at www.springerlink.com. DOI 10.1007/s00285-007-0110-x

Lagrangian observations

• (2003) Discrete velocity fields with explicitly computable Lagrangian law', with Curtis D. Bennett. Journal of Statistical Physics 111 (2003) 681--701.
• (2001) Lagrangian observations of homogeneous random environments, Advances in Applied Probability 33 (2001) 810--835. ps pdf
• (2000) Markov velocity fields and the generalized Lagrangian velocity ps pdf
• (2000) Random velocity fields with known Lagrangian law (Poster from Courant Nonlinear Analysis 2000 conference) ps pdf
• (2000) Random velocity fields with known Lagrangian law (Slides from talk at TIES-SPRUCE 2000 conference) ps pdf

Nonlinear Schroedinger equation

• (2000) A mean-field statistical theory for the nonlinear Schrodinger equation, with Richard Jordan and Bruce Turkington. Physica D 137, (2000), 353--378. Preprint available here

Brownian flows

• (2002) Rotation of particles in polarized Brownian flows, with Wojbor A. Woyczynski. Stochastics and Dynamics 2 (2002) 109--129.
• (1997) Translation and dispersion of mass by isotropic Brownian flows ps pdf
• (1997) Mass transport by Brownian flows, with Erhan Çinlar ps pdf
• (1997) Mean occupation times of continuous one-dimensional Markov processes ps pdf
• (1996) Dispersion of particle systems by Brownian flows, with Erhan Çinlar ps pdf
• (1995) Random measures carried by Brownian flows on R^d ps pdf

Ph.D. Dissertation

• (1993) Stochastic Flows: Dispersion of a mass distribution and Lagrangian observations of a random field pdf format

Education

• Ph.D. Princeton University, 1993, Applied and Computational Mathematics.

Stochastic Flows: Dispersion of a mass distribution and Lagrangian observations of a random field ps pdf
Advisor: Erhan Çinlar
• B.A. Illinois Wesleyan University, 1989, Mathematics and Physics.

Professional Experience

• Bowling Green State University, Department of Mathematics and Statistics, Assistant Professor, 1996-2001, Associate Professor 2001-present
• University of Massachusetts, Department of Mathematics and Statistics, Visiting Assistant Professor, 1994-1996
• University of Minnesota, Institute for Mathematics and its Applications, Research Associate, 1993-1994.

Research Interests

• Probability Theory
• Stochastic models of complex fluid flows
• Brownian flows, random measures, mass transport

Bowling Green State University

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