?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F2404%2F&rft.title=Temporal+network+sparsity+and+the+slowing+down+of+spreading&rft.creator=Perotti%2C+Juan+I.&rft.creator=Jo%2C+Hang-Hyun&rft.creator=Holme%2C+Peter&rft.creator=Saram%C3%A4ki%2C+Jari&rft.subject=QC+Physics&rft.description=nteractions+in+time-varying+complex+systems+are+often+very+heterogeneous+at+the+topological+level+(who+interacts+with+whom)+and+at+the+temporal+level+(when+interactions+occur+and+how+often).+While+it+is+known+that+temporal+heterogeneities+often+have+strong+effects+on+dynamical+processes%2C+e.g.+the+burstiness+of+contact+sequences+is+associated+with+slower+spreading+dynamics%2C+the+picture+is+far+from+complete.+In+this+paper%2C+we+show+that+temporal+heterogeneities+result+in+temporal+sparsity%7D+at+the+time+scale+of+average+inter-event+times%2C+and+that+temporal+sparsity+determines+the+amount+of+slowdown+of+Susceptible-Infectious+(SI)+spreading+dynamics+on+temporal+networks.+This+result+is+based+on+the+analysis+of+several+empirical+temporal+network+data+sets.+An+approximate+solution+for+a+simple+network+model+confirms+the+association+between+temporal+sparsity+and+slowdown+of+SI+spreading+dynamics.+Since+deterministic+SI+spreading+always+follows+the+fastest+temporal+paths%2C+our+results+generalize+--+paths+are+slower+to+traverse+because+of+temporal+sparsity%2C+and+therefore+all+dynamical+processes+are+slower+as+well.+&rft.publisher=ArXiv&rft.date=2014-11&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.identifier=++Perotti%2C+Juan+I.+and+Jo%2C+Hang-Hyun+and+Holme%2C+Peter+and+Saram%C3%A4ki%2C+Jari++Temporal+network+sparsity+and+the+slowing+down+of+spreading.++Working+Paper++%23+%2F2014++++ArXiv+++++++(Unpublished)+++&rft.relation=http%3A%2F%2Farxiv.org%2Fabs%2F1411.5553