International Workshop "Advances in Discrete Networks"

Department of Mathematics, University of Pittsburgh
December 12 - 14, 2014

Schedule of the workshop
Abstracts of talks
List of participants
List of poster presentations

The workshop will be held in the framework of 2014 Fall Theme Semester on Discrete Networks: Geometry, Dynamics and Applications at the University of Pittsburgh.

A network is a very general concept, encompassing any structure that can be represented as a collection of discrete nodes, some of which are joined by links called edges. An extremely broad variety of systems can be represented as networks; these range from man-made constructs such as power grids, the internet, and rigid structures, to abstract entities such as social interaction and disease contact networks, to biological systems such as neuronal or genetic networks. Mathematical and computational tools being developed to analyze such networks offer great potential for impact, given that the same mathematical framework can be used to represent such a wide diversity of systems.

This three-day workshop will provide a forum for the exchange of ideas relating to quantitative research about networks, pursued with a variety of perspectives and approaches. The event will bring together leading researchers in the field, with backgrounds in areas such as applied mathematics, mathematical biology, statistical physics, and computational methods, along with a diverse pool of graduate students, postdocs, and other scientists who are early in their careers. By doing so, it will highlight cutting edge advances in the analysis of network dynamics and structures, it will foster connections across mathematical areas and disciplines, and it will promote the involvement of junior researchers in the field.

Invited Speakers:

Reka Albert , Department of Physics, Penn State University
Network analysis and discrete dynamic modeling elucidates the outcomes of within-cell networks

Omer Angel , Department of Mathematics, University of British Columbia
Unimodular planar graphs

Igor Belykh , Department of Mathematics and Statistics, Georgia State University
Repulsive inhibition promotes synchrony in excitatory bursting networks: help from the enemy

Ginestra Bianconi , School of Mathematics, Queen Mary University of London
Structure and dynamics of multilayer networks

Bard Ermentrout , Department of Mathematics, University of Pittsburgh
Graphs, dynamics, persistent activity

Nina Fefferman , Department of Ecology, Evolution and Natural Resources, Rutgers University
A local density-based method for network comparison

Yannis Kevrekidis , Department of Chemical and Biological Engineering, Princeton University
Coarse-graining the dynamics of (and on) complex networks: an equation free/variable free approach

Dimitri Krioukov , Department of Physics, Northeastern University
Lorentz-invariant edge-independent maximum-entropy esambles of random graphs and simplicial complexes

Ashok Litwin-Kumar , Center for Theoretical Neuroscience, Columbia University
Networks as random simplicial complex

Adilson Motter , Department of Physics, Northwestern University
To what extent can networks be controlled? And what for?

Sayan Mukherjee , Department of Statistical Science, Duke University
Networks as random simplicial complex

Duane Nykamp , School of Mathematics, University of Minnesota
Exploiting low-rank netweork structure to construct effective equations equations of neuronal network dynamics

Mason Porter , Oxford Centre for Industrial and Applied Mathematics
Multilayer community structure and functional brain networks

Mei Yin , Department of Mathematics, University of Denver
Asymptotics for exponential random graphs

Funding is available for PhD students, postdocs and young researchers. For funding application, please fill in the form . Funding for this Workshop has been kindly provided by the Mathematics Research Center at the University of Pittsburgh and the National Science Foundation under the grant DMS-1446452.

The organizing committee consists of: Brent Doiron , Bard Ermentrout , Marta Lewicka and Jonathan Rubin.