System Runs Many Processes Concurrently Process: executing program State consists of memory image + register values + program counter Continually switches from one process to another Suspend process when it needs I/O resource or timer event occurs Resume process when I/O available or given scheduling priority Appears to user(s) as if all processes executing simultaneously Even though most syste...

We discuss aspects of the dictionary between brane configurations in del Pezzo geometries and dibaryons in the dual superconformal quiver gauge theories. The basis of fractional branes defining the quiver theory at the singularity has a K-theoretic dual exceptional collection of bundles which can be used to read off the spectrum of dibaryons in the weakly curved dual geometry. Our prescription ...

This note gives an elementary proof that the symmetric groups possess only one exceptional symmetry. I am referring to the fact that the outer automorphism group of the symmetric group Symn is trivial unless n = 6 and the outer automorphism group of Sym6 has a unique nontrivial element. When we study symmetric groups, we often invoke their natural faithful representation as permutations of a se...

JavaScript, the main language for web-site development, does not feature continuation. However, as part of client-server communication they would be useful as a means to suspend the currently running execution. In this paper we present our adaption of exception-based continuations to JavaScript. The enhanced technique deals with closures and features improvements that reduce the cost of the wor...

We show how to obtain the instanton partition function of N = 2 SYM with exceptional gauge group EFG using blow-up recursion relations derived by Nakajima and Yoshioka. We compute the two instanton contribution and match it with the recent proposal for the superconformal index of rank 2 SCFTs with E6,7 global symmetry. [email protected] [email protected]

Consider the standard continuous percolation in R 4 , and choose the parameters so that the induced percolation on a xed two dimensional linear subspace is critical. Although two dimensional critical percolation dies, we show that there are exceptional two dimensional linear subspaces, in which percolation occurs.

The use of exceptions in programming languages is usually reserved for exceptional conditions. This is a narrow view of exceptions, however. We demonstrate how exceptions can be used to express common programming language constructs, and thus form the basis of a new type of exception-based programming language. We also generalize exceptions so that they may be thrown into a program’s future exe...

We consider a structural acoustic problem with the flexible wall modeled by a thermoelastic plate, subject to Dirichlet boundary control in the thermal component. We establish sharp regularity results for the traces of the thermal variable on the boundary, in the case the system is supplemented with clamped mechanical boundary conditions. These regularity estimates are most crucial for validity...