SlideShare a Scribd company logo
Collaborators: 
Davide 
Cellai, 
James 
Gleeson, 
Adam 
Hackett, 
Heather 
Harrington, 
Florian 
Klimm, 
Miroslav 
Kramar, 
Sergey 
Melnik, 
Konstantin 
Mischaikow, 
Peter 
Mucha, 
JP 
Onnela, 
Felix 
Reed-­‐Tsochas, 
Dane 
Taylor, 
Jonathan 
Ward
MAP 
& 
J. 
P 
Gleeson, 
“Dynamical 
Systems 
on 
Networks: 
A 
Tutorial”, 
submitted 
to 
Frontiers 
in 
Applied 
Dynamical 
Systems, 
arXiv: 
1403.7663
S. 
Melnik, 
J. 
A. 
Ward, 
J. 
P. 
Gleeson, 
& 
MAP, 
“Multi-­‐Stage 
Complex 
Contagions”, 
Chaos, 
23(1), 
013124 
(2013)
Active 
(S1) 
Hyper-­‐active 
(S2) 
Influences 
neighbors 
Influences 
neighbors, 
but 
with 
bonus 
influence 
compared 
to 
Active 
nodes 
No 
influence 
Note: 
S2 
⊆ 
S1 
but 
Si 
⊈ 
S0 
for 
i 
> 
0
#FXGTVKUGOGPV9QTMUJQRQPVJG/CVJGOCVKEUCPF2J[UKEU 
QH/WNVKNC[GT%QORNGZ0GVYQTMU
/#2%1/ 
• Organizers: Alex Arenas, Mason 
Porter! 
• July 6–8, 2015, Max Planck 
Institute for the Physics of 
Complex Systems, Dresden, Germany! 
• Applications to attend will 
starting being accepted soon 
(some funding available)!
#FXGTVKUGOGPV/$+5GOGUVGT2TQITCO 
QP0GVYQTMU
5RTKPI 
• Mathematical Biosciences 
Institute, The Ohio State 
University, USA! 
• Semester program on “Dynamics of 
Biologically Inspired Networks”! 
– http://mbi.osu.edu/programs/ 
emphasis-programs/future-programs/ 
spring-2016-dynamics-biologically-inspired- 
networks/! 
• Focuses on theoretical questions 
on networks that arise from 
biology!
#FXGTVKUGOGPV/$+92a 
ň)GPGTCNKGF0GVYQTM5VTWEVWTGUCPF[PCOKEUʼn 
• March 21–25, 2016! 
• http://mbi.osu.edu/event/?id=898!

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Cascades and Social Influence on Networks, UCSB, 3 Oct 2014

  • 1. Collaborators: Davide Cellai, James Gleeson, Adam Hackett, Heather Harrington, Florian Klimm, Miroslav Kramar, Sergey Melnik, Konstantin Mischaikow, Peter Mucha, JP Onnela, Felix Reed-­‐Tsochas, Dane Taylor, Jonathan Ward
  • 2.
  • 3.
  • 4. MAP & J. P Gleeson, “Dynamical Systems on Networks: A Tutorial”, submitted to Frontiers in Applied Dynamical Systems, arXiv: 1403.7663
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13. S. Melnik, J. A. Ward, J. P. Gleeson, & MAP, “Multi-­‐Stage Complex Contagions”, Chaos, 23(1), 013124 (2013)
  • 14. Active (S1) Hyper-­‐active (S2) Influences neighbors Influences neighbors, but with bonus influence compared to Active nodes No influence Note: S2 ⊆ S1 but Si ⊈ S0 for i > 0
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41.
  • 42. #FXGTVKUGOGPV9QTMUJQRQPVJG/CVJGOCVKEUCPF2J[UKEU QH/WNVKNC[GT%QORNGZ0GVYQTMU /#2%1/ • Organizers: Alex Arenas, Mason Porter! • July 6–8, 2015, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany! • Applications to attend will starting being accepted soon (some funding available)!
  • 43. #FXGTVKUGOGPV/$+5GOGUVGT2TQITCO QP0GVYQTMU 5RTKPI • Mathematical Biosciences Institute, The Ohio State University, USA! • Semester program on “Dynamics of Biologically Inspired Networks”! – http://mbi.osu.edu/programs/ emphasis-programs/future-programs/ spring-2016-dynamics-biologically-inspired- networks/! • Focuses on theoretical questions on networks that arise from biology!
  • 44. #FXGTVKUGOGPV/$+92a ň)GPGTCNKGF0GVYQTM5VTWEVWTGUCPF[PCOKEUʼn • March 21–25, 2016! • http://mbi.osu.edu/event/?id=898!