Asymptotic analysis, on the other hand, offers a robust mathematical approach to simplify and approximate the behaviour of complex stochastic systems, particularly in parameter regimes where exact ...

Function spaces form a fundamental framework in modern mathematical analysis, allowing researchers to systematically study functions through norms, metrics and topological properties. Asymptotic ...

We focus on space-charge-limited transport, in which rapid variations in charge carrier density occur near the injecting electrodes, and in which the electric field is highly non-uniform. This ...

We consider the problem of filtering one-dimensional diffusions with nonlinear drift coefficients, transmitted through a nonlinear low noise channel. We construct an asymptotic solution to Zakai's ...

Algorithm design strategies such as divide and conquer. Elementary techniques for analysis; asymptotic analysis, recursion equations, estimation methods, elementary combinatorial arguments.

Alice and Bob Meet Banach The Interface of Asymptotic Geometric Analysis and Quantum Information Theory Cartoon by Aurélie Garnier Guillaume Aubrun and I wrote a book focused on the interface between ...