T.K. Subrahmonian Moothathu  Assistant Professor,  Dept. of Math. & Stat.,   University of Hyderabad,  Hyderabad - 500046.  Email: tksm---at---uohyd.ernet.in    Area of interest: Topological Dynamics

PUBLICATIONS:

◊ Constant-norm scrambled sets for hypercyclic operators, J. Math. Analysis and Appl., 387, (2012), 1219-1220.

◊ Eulerian entropy and non-repetitive subword complexity, to appear in Theoret. Computer Science.

◊ The speed with which an orbit approaches a limit point,  to appear in J. Difference Eq. and Appl.

◊ Implications of pseudo-orbit tracing property for continuous maps on compacta, Topology and its Appl., 158, (2011), 2232-2239.

◊ Surjective cellular automata with zero entropy are almost one-to-one, Chaos, Solitons & Fractals, 44, (2011), 415-417.

◊ Syndetically proximal pairs,  J. Math. Analysis and Appl., 379, (2011), 656-663.

◊ Diagonal points having dense orbit, Colloq. Math., 120, (2010), 127-138.

◊ Weak mixing and mixing of a single transformation of a topological (semi)group, Aequationes Math., 78, (2009), 147-155.

◊ Quantitative views of recurrence and proximality, Nonlinearity, 21, (2008), 2981-2992.

◊ Orbits of Darboux-like real functions, Real Analysis Exchange, 33(1), (2007/08), 143-150.

◊ Stronger forms of sensitivity for dynamical systems, Nonlinearity, 20, (2007), 2115-2126.

◊ Set of periods of additive cellular automata, Theoret. Computer Sci., 352, (2006), 226-231.

◊ Homogeneity of surjective cellular automata, Discrete Continuous Dynam. Systems, 13, (2005), 195-202.

[The last two in the list are available in the thesis below:]

PhD thesis: Studies in Topological Dynamics with emphasis on Cellular Automata.

TEACHING:

Courses taught: Topology, Introductory Ergodic Theory, Complex Analysis, Functional Analysis, Multivariable Calculus, Real Analysis, Topological Groups, Galois Theory, Measure Theory, Basic Group Theory.

LECTURE NOTES:

Some lecture notes are given below. The hand-written ones may not be in a reader-friendly form. Not much editing was done on these notes, some mistakes are likely,  and so please read with caution. The results in these notes are essentially known facts even if the references are absent.

Operator Theory-1/3 (parts 2 and 3 will be uploaded shortly).

Measure Theory-1/3, Measure Theory-2/3, Measure Theory-3/3.

Galois Theory-1/3, Galois Theory-2/3, Galois Theory-3/3.

Topological Groups-1/3, Topological Groups-2/3, Topological Groups-3/3.

Discrete Math (a little) & basic Group Theory - part 1/3, part 2/3, part 3/3.

Real Analysis (hand-written, scanned pdf).

Multivariable Calculus (hand-written, scanned pdf).

Complex Analysis (hand-written and in , scanned pdf).

Functional Analysis (hand-written, scanned pdf).

POST DOC EXPERIENCE: Institute of Mathematical Sciences, Chennai, for one year (2006/2007).