Udayan B. Darji (Univ. of Louisville)
Linear dynamics is a relatively recent area of mathematics which lies at the intersection of operator theory and dynamical systems. A flurry of intriguing results have been obtained in this area starting with investigation of transitivity and mixing. Recent investigations include concepts such as Li-Yorke, Devaney and distributional chaos, invariant measures, ergodicity and frequently hypercyclic, expansive, hyperbolic, shadowing and structural stability. In this survey panoramic talk, we will highlight some of the essential results. We will also discuss some of the joint results of the speaker with Bernardes, Cirilo, Messaoudi, Pires, Pujals, Varão and others.