Edward C Waymire
Professor Emeritus of Mathematics
Oregon State University
Office: Kidder Hall
Phone: (541) 7374686
Fax: (541) 7370517
Email:
waymire@math.oregonstate.edu
 Postal address:
 Department of Mathematics
Oregon State University
Kidder Hall 368
Corvallis, Oregon 973314605
 Education:
 PhD University of Arizona, 1976
 OSU ACTUARIAL SCIENCE: 1984 to NOW
This is an extended overview of an article published
in abbreviaed form in the OSU Department of Mathematics
Alumni Newsletter, Fall, 2017.
 E. Waymire (2017):
OSU ACTUARIAL SCIENCE: 1984 to NOW
,

Current Research Interests
 Research Interests
Applications of probability and stochastic processes to problems
involving flow and/or dispersion. Mathematically this involves
the interplay between probability and pdes as a twoway avenue.
Example areas of application include fluid flows, especially the incopmpressible NavierStokes equations,
and dispersion of solutes in heterogeneous porous media.
 Selected Publications and Preprints
 Chen, L.,R.B, Guenther, SC. Kim, E.A. Thomann, E.C. Waymire
(2008):
A Rate of Convergence for the LANS alpha Regularization of
NavierStokes Equations
Journal of Mathematical Analysis and
Applications,
vol. 348, pp. 637649.
 Waymire, E., S. Williams (2010):
Tmartingales, sizebiasing and
tree polymer cascades, eds Barral, J., S. Seuret,
Recent Developments in Fractals and Related Fields, 353382, Birkhauser Boston,
(post pub. corrected file, 10/30/2011)).
 Appuhamillage, T., V. Bokil, E. Thomann, E. Waymire, B. Wood (2011):
Occupation and local times for skew Brownian motion with applications
to dispersion across an interface,
Annals of Applied Probability. vol. 21(1), pp. 183214.
(Correction: Annals of Applied Probability. vol. 21, No. 5, (2011),
pp. 20502051.)
 Johnson, T, Waymire, E. (2011):
Tree polymers in the infinite volume limit at critical strong disorder,
J. Appld. Probab., vol. 48(3), pp. 885891.
 Ramirez, J., E. Thomann, E. Waymire
(2013):
AdvectionDisperson Across Interfacesn
Statistical Science,
Vol 28(4), 487509. http://arxiv.org/abs/1310.7643
 Dey, P., E. Waymire (2015):
On Normalized Multiplicative Cascades Under Strong Disorder
Elect. Comm. Prob. vol. 20,, pp. 113.
 Dascaliuc, R. N. Michalowski, E. Thomann, E. Waymire (2015):
Symmetry Breaking and Uniqueness for the Incompressible NavierStokes
Equations
Chaos: Journal of Am. Inst. Phys.,
http://arxiv.org/abs/1502.06939
 Ramirez, J., E. Thomann, E. Waymire (2015):
Continuity of Local Time: An applied perspective
The Fascination of Probability, Statistics and their Applications: Festschrift in Honour of Ole E. BarndorffNielsen ,
eds., Mark Podolskij, Robert Steizer, Steen Thorbjørnsen, Almut Veraart
http://arxiv.org/abs/1503.04660
 Dascaliuc, R., N. Michalowski, E.
Thomann, E. Waymire (2017):
A Delayed Yule Process
Proc. Amer. Math Soc.
 JenningsShafer, C., D. Skinner, E. Waymire (2018):
When Fourth Moments Are Enough
Rocky Mountain Journal of Mathematics ,
 Peckham, S., E. Waymire, P. De LeenHeer (2018):
Critical Thresholds for Eventual Extinction in Randomly Disturbed
Population Growth Models
Journal of Mathematical Biology
 Dascaliuc, R., E.
Thomann, E. Waymire (2018):
Stochastic Explosion and NonUniqueness for αRiccati Equation
Journal of Math.Anal. and Appl.
 Dascaliuc, R., E., Pham, T.,
Thomann, E. Waymire (2023):
Errata to Stochastic Explosion and NonUniqueness for αRiccati Equation
Journal of Math.Anal. and Appl. https://arxiv.org/abs/2303.05482
 Bokil, V., N. Gibson,L.S.Nguyen, E. Thomann, E. Waymire (2019):
An EulerMaruyama Method for Diffusion Equations with Discontinuous
Coefficients and a Family of Interface Conditions,
Journal of Computational and Applied Mathematics.
 Dascaliuc, R., N. Michalowski, E.
Thomann, E. Waymire (2019):
Complex Burgers Equation: A probabilistic perspective
Sojourns in Probability and Statistical Physics", Vol 1, ed Vladas Sidoravicius, Springer NY
Dascaliuc, R., T. Pham, , E.
Thomann, E. Waymire (2022):
Doubly Stochastic Yule Cascades (Part I): The explosion problem in the timereversible case
Journal of Functional Analysis arXiv:2103.06912
Dascaliuc, R., T. Pham, , E.
Thomann, E. Waymire (2022):
Doubly Stochastic Yule Cascades (Part II): The explosion problem in the nonreversible case
Annales Instiut Henri Poincare arXiv:2107.13182
,
Due to copyright restrictions, the final published versions may not be
posted here in some cases.
These are either personal versions that have essentially
the same contents or url links to the respective journals.
 Recent Books
 Bhattacharya, R., E. Waymire (2007):
A Basic Course in Probability Theory,
Universitext, Springer, NY. (2016) 2nd Edition
2ND EDITION ERRATA
 Bhattacharya, R., E. Waymire (2009):
Stochastic Processes with Applications,
SIAM Classics in Applied Mathematics Series.
 Bhattacharya, R., E. Waymire (2021):
Random Walk, Brownian Motion, and Martingales,
Springer Graduate Text in Mathematics.
 Bhattacharya, R., E. Waymire (2022): Stationary Processes and Discrete Parameter Markov Processes , Springer Graduate Text in Mathematics.
 Bhattacharya, R., E. Waymire (2023):
Continuous Parameter Markov Processes and Stochastic Differential
Equations,
Springer Graduate Text in Mathematics (in press).

Service
 Past Chief Editor, Annals of Applied Probability, 2006  2010
Past Editor, Bernoulli, 19942006
Associate Editor, Proceedings of the American Mathematical
Society, 20042008
Associate Editor, Stochastics and Dynamics, 20132018
Associate Editor, Probability Surveys, 2003present
PastPresident, Bernoulli Society for Mathematical Statistics
and Probability, 20132015.

This page was last updated: May 23, 2023.