Tanya Schmah
Department of Mathematics
Division of ICS
Macquarie University
NSW 2109
Australia
Tel: ++61 2 9850 8949
Fax: ++61 2 9850 8114
schmah@maths.mq.edu.au
I am a lecturer at
Macquarie University.
Prior to joining this department in February 2004,
I was a visiting lecturer at the
University of Surrey (U.K.),
and before that a lecturer at the
University of Warwick (U.K.).
In 2001, I finished a doctorate under the supervision of
Tudor Ratiu
at the
Ecole Polytechnique Fédérale de Lausanne.
My main research area is geometric mechanics, a field in which
one uses modern differential geometry to study classical mechanical
problems.
Publications
Schmah, T. and Stoica, C. [2007] A generalisation of Saari's Conjecture is generically true.
Trans. Amer. Math. Soc. (to appear)
Schmah, T. [2007] A cotangent bundle slice theorem. Diff. Geom.
Appl. 25, 101-124
{arXiv:math.SG/0409148}
Schmah, T. and Stoica, C. [2006] Stability for Lagrangian relative equilibria of
three point mass systems. J. Phys. A: Mathematical and General. 39(46)
Roberts, M., Schmah, T. and Stoica, C. [2005] Relative equilibria in systems with configuration space isotropy.
J. Geom. Phys.
56 (5), 762-779
Schmah, T. [2002] Symmetries of Cotangent Bundles. Ph.D. thesis,
Ecole Polytechnique Fédérale de Lausanne, Switzerland
Schmah, T. [2001] Torus actions on symplectic orbi-spaces.
Proc. Am. Math. Soc.
129, 1169-1177
Rapp, P.E., Celluci, C.J., Watanabe, T.A.A., Albano, A.M. and Schmah, T.I. [2001].
Surrogate data pathologies and the false-positive rejection of the null hypothesis.
Intn. J. Bifurcation and Chaos. 11(4), 983-997.
Rapp, P.E., Schmah, T.I. [2000] Dynamical analysis in clinical practice.
In: Chaos in Brain? K. Lehnertz, J. Arnhold, P. Grassberger and C.E. Elger, eds.
pp. 52-65, World Scientific, Singapore.
Rapp, P.E., Schmah, T.I. and Mees, A.I. [1999]
Models of knowing and the investigation of dynamical systems.
Physica 132D, 133-149.
{pdf}.Rapp, P.E., Schmah, T.I. [1996] Complexity measures in molecular psychiatry.
Molecular Psychiatry, 1, 408-416.
Rapp, P.E., Albano, A.M., Schmah, T.I., Farwell, L.A. [1993]
Filtered noise
can mimic low-dimensional chaotic attractors.
Phys. Rev. 47E,
2289-2297.