##### Department of Mathematics,

University of California San Diego

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### Association of Women in Mathematics Colloquium

## Ruth Williams

#### UC San Diego

## Stochastic Networks: Bottlenecks, Entrainment and Reflection

##### Abstract:

Stochastic models of complex networks with limited resources arise in a wide variety of applications in science and engineering, e.g., in manufacturing, transportation, telecommunications, computer systems, customer service facilities, and systems biology. Bottlenecks in such networks cause congestion, leading to queueing and delay. Sharing of resources can lead to entrainment effects. Understanding the dynamic behavior of such modern stochastic networks present challenging mathematical problems. \\ \\ This talk will describe some developments in this area. A key feature will be dimension reduction, resulting from entrainment due to resource sharing. An example of bandwidth sharing in a data network will be featured.

### June 3, 2021

### 4:00 PM

### Location / Remote Access URL https://ucsd.zoom.us/j/94080232559

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