Multidimensional packing problems find numerous applications in robotics, cloud computing, smart-grids and many other scheduling and resource allocation problems.

Web search has come a long way from matching query words with document words.  It is now mediated by knowledge graphs (KGs) such as Freebase, having hundreds of millions of entities belonging to tens of thousands of types, connected by billions of

Given a boolean function $f : \{0, 1\}^n \rightarrow \{0, 1\}$ define the function $f \circ \mathsf{XOR}$ on $2n$ bits by $f \circ \mathsf{XOR} (x_1, \dots, x_n, y_1, \dots, y_n) = f(x_1 \oplus y_1, \dots, x_n \oplus y_n)$.  Such a function is cal

Many real-world networks such as the ones arising out of facebook and twitter, webpages and hyperlinks etc. evolve with the passage of  time.

This talk will outline standard issues and results related to small noise limits in noise-perturbed dynamics and two important reasonsfor studying these, and illustrate the same by examples from the work ofthe speaker and his collaborators.