But from the perspective of research mathematicians, and especially young people who are pursuing a Ph.D. in mathematics, ...

Probability theory is indispensable in computer science: It is at the core of artificial intelligence and machine learning, which require decision making under uncertainty. It is integral to CS theory ...

In this paper, we extend our recent work on two-dimensional diffusive search-and-capture processes with multiple small targets (narrow capture problems) by considering an asymptotic expansion of the ...

This paper considers a dual objective distributed coordination problem for a flywheel energy storage matrix system. On one hand, the power output of the entire flywheel energy storage matrix system ...

In this paper, we develop asymptotic theories for a class of latent variable models for large-scale multi-relational networks. In particular, we establish consistency ...

Rerandomization refers to experimental designs that enforce covariate balance. This paper studies the asymptotic properties of the difference-in-means estimator under rerandomization, based on the ...

One of the quintessential topics in quantum information theory is the study of reliable quantum information transmission over noisy quantum channels. Here ‘channel’ simply refers to a description of a ...

I originally created this as a short to-do list of study topics for becoming a software engineer, but it grew to the large list you see today. After going through this study plan, I got hired as a ...

The essay reviews some theoretical and methodological problems involved in the study of the transition to democracy. Two explanations frequently cited to explain breakdowns of authoritarian regimes ...

This work presents a version of the Metropolis–Hastings algorithm using quasi-Monte Carlo inputs. We prove that the method yields consistent estimates in some problems with finite state spaces and ...