Lojasiewicz inequalities for almost harmonic maps near simple bubble trees
 Rupflin, M Annales de l’Institut Henri Poincaré, Analyse Non Linéaire (28 Jun 2024)
Tue, 04 Jun 2024

14:00 - 15:00
Online

Living discreetly but thinking continuously: Dynamic networks and stochastic approximation

Shankar Bhamidi
(University of North Carolina at Chapel Hill)
Further Information

Part of the Oxford Discrete Maths and Probability Seminar, held via Zoom. Please see the seminar website for details.

Abstract

Models for networks that evolve and change over time are ubiquitous in a host of domains including modeling social networks, understanding the evolution of systems in proteomics, the study of the growth and spread of epidemics etc.

This talk will give a brief summary of three recent findings in this area where stochastic approximation techniques play an important role:

  1. Understanding the effect and detectability of change point in the evolution of the system dynamics.
  2. Reconstructing the initial "seed" that gave rise to the current network, sometimes referred to as Network Archeology.
  3. The disparity in the behavior of different centrality measures such as degree and page rank centrality for measuring popularity in settings where there are vertices of different types such as majorities and minorities as well as insight analyzing such problems give for at first sight unrelated issues such as sampling rare groups within the network.

The main goal will to be convey unexpected findings in each of these three areas and in particular the "unreasonable effectiveness" of continuous time branching processes.

Erratum: “IceCat-1: The IceCube Event Catalog of Alert Tracks” (2023, ApJS, 269, 25)
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Hyperbolic one-relator groups
 Linton, M Canadian Journal of Mathematics 1-28 (06 May 2024)

Song of the Week: Richard Wagner - Das Rheingold (Prelude)

In the second half of the nineteenth century, Richard Wagner revolutionised opera which he saw as a total work of art with music part of a wider visual, poetic and, especially, dramatic experience. 'Das Rheingold' is the first of the four operas in his 'Ring Cycle'. This prelude describes the River Rhine, calm and majestic.

A Multidisciplinary Hyper-Modeling Scheme in Personalized In Silico Oncology: Coupling Cell Kinetics with Metabolism, Signaling Networks, and Biomechanics as Plug-In Component Models of a Cancer Digital Twin
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Relations between integrated correlators in N = 4 supersymmetric Yang-Mills theory
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Tidal Forcing in Icy‐Satellite Oceans Drives Mean Circulation and Ice‐Shell Torques
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