MATRIX-MFO Tandem Workshop: Stochastic Reinforcement Processes and Graphs

Jan de Gier

Registration for this event has closed.
  • 5 Mar 2023 - 11 Mar 2023
    8:00 am - 5:00 pm

Mark Holmes (The University of Melbourne)
Viktor Kleptsyn (Université de Rennes)

Markus Heydenreich (Universität München)
Cécile Mailler (University of Bath)

Program Description:
This workshop brings together many of the leading international researchers in the area of reinforcement processes and graphs.

Some examples of explicit models and open problems arising from recent research includes
A. The reinforced ants process – Is the ants process with several nests and several sources of food capable of finding optimal transport networks?
B. Path-formation models – Introduce more realistic models for neuronal reinforcement in the brain, and investigate some basic properties of these models.
C. Random networks evolving from reinforcement mechanisms – Is the extremal linkage model a good model for brain-development? Can we find a simple modification of this model that exhibits the clustering property?
D. Once-reinforced biased random walk
E. WARM process on Z
F. Linearly reinforced random walk

Program Structure: TBC
The workshop will be focussed around one joint session Monday-Thursday: at 9-11 MFO time, which is 17-19 MATRIX time. During each of these sessions between 1 and 2 participants (chosen by the organisers) will organise an open problem session where they will:
(i) introduce an appropriate stochastic model, and
(ii) present known results about the model, and
(iii) specify one or more important open problems related to that model, and
(iv) initiate discussion between the participants.
Topics for these open problems sessions could include the ants process, WARMs, the extremal linkage model and preferential attachment, self-reinforced random walks.
Each two-hour session will consist of two 45 minute talks covering (i)-(iii) above followed by 15 minutes for (iv). In addition there will be one recorded 1-hour talk per day at each institution (morning at MATRIX and afternoon at MFO). The talk recorded on day n in the morning at MATRIX will be played on day n in the afternoon at MFO; the talk recorded on day n in the afternoon at MFO will be played on day n+1 in the morning at MATRIX.

MFO webpage:

Participants List:
Mark Holmes (University of Melbourne)
Victor Kleptsyn (CNRS, University of Rennes 1)
Omer Angel (University of British Columbia)
Andrea Collevecchio (Monash University)
Daniel Kious (University of Bath)
Yuri Lima (Universidade Federal do Ceará)
Tuan Minh Nguyen (Monash University)
Nathan Ross (University of Melbourne)
Debleena Thacker (Durham University)
Kais Hamza (Monash University)
Antar Bandyopadyay (Indian Statistical Institute, Delhi Centre)
Giacomo Aletti (U. Milan)
Andrea Ghiglietti (Università degli Studi Milano-Bicocca)
Tim Banova (University of Melbourne)

Registration is closed



MATRIX Wine and Cheese Afternoon 7 March 2023
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.