Skip to ContentSkip to Navigation
Over onsNieuws en agendaNieuwsberichten

Colloquium Mathematics, Anne Fey (TUD)

14 June 2011

 

Join us for coffee and tea at 15.45 p.m.

 

 

Date: Tuesday, June 14th 2011

Speaker: Anne Fey (TUD)

Room: 5161.0267 (Bernoulliborg),

Time: 16.15

 

 

Title: Limiting shapes for nonabelian sandpile growth models,




 

Abstract:

Joint work with Haiyan Liu.

On a grid, start with a pile of height n > 1 at the origin, and a pile of height h < 1 on every other grid vertex. Split every pile that has height at least 1, that is, distribute its total height equally among the neighbors. We are interested in the set S of sites where we split a pile at least once.

Depending on h, n and possibly even on the order in which we split piles, either S reaches a final size or S keeps increasing. We show that the first case occurs for h small enough and arbitrary splitting order, and we give bounds for the size of S, using similar methods as for the abelian sandpile growth model.

In the second case, our model behaves strikingly different from the abelian sandpile growth model. With the parallel splitting order, S can have a multitude of different limiting shapes. We demonstrate several of them, leaving plenty of opportunity for further research. 

  

 

 

 

 

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. M.E. Dür (e-mail: M.E.Dur@rug.nl)

 

 

 

Last modified:06 June 2018 2.05 p.m.

More news

  • 20 November 2018

    Prof. Dirk Slotboom wins FSE Teaching Award 2017

    On the Education Day of the Faculty of Science and Engineering, the winner of the Faculty Teaching Award 2017 was revealed: Prof. Dirk Slotboom has been chosen as FSE’s teacher of the year 2017.

  • 15 November 2018

    Dutch Higher Education Guide 2019: UG-programmes strong at the top

    Ten University of Groningen (UG) Bachelor’s degree programmes have been awarded the ‘Top Degree Programme’ title in this year’s Dutch Higher Education Guide (Keuzegids), placing them at the top of Dutch academic education. In the ‘Broad-based General...

  • 14 November 2018

    The lift between life and death

    The membrane of a cell forms the boundary of life itself. This thin, fatty mantle is the sleeve that keeps the contents of a cell firmly inside. Transport proteins within the membrane are vital for effecting contact and exchange with the outside world...