Now showing 1 - 10 of 12
  • 2011Journal Article
    [["dc.bibliographiccitation.firstpage","265"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Nature Physics"],["dc.bibliographiccitation.lastpage","270"],["dc.bibliographiccitation.volume","7"],["dc.contributor.author","Nagler, Jan"],["dc.contributor.author","Levina, Anna"],["dc.contributor.author","Timme, Marc"],["dc.date.accessioned","2018-11-07T08:58:46Z"],["dc.date.available","2018-11-07T08:58:46Z"],["dc.date.issued","2011"],["dc.description.abstract","How a complex network is connected crucially impacts its dynamics and function. Percolation, the transition to extensive connectedness on gradual addition of links, was long believed to be continuous, but recent numerical evidence of 'explosive percolation' suggests that it might also be discontinuous if links compete for addition. Here we analyse the microscopic mechanisms underlying discontinuous percolation processes and reveal a strong impact of single-link additions. We show that in generic competitive percolation processes, including those showing explosive percolation, single links do not induce a discontinuous gap in the largest cluster size in the thermodynamic limit. Nevertheless, our results highlight that for large finite systems single links may still induce substantial gaps, because gap sizes scale weakly algebraically with system size. Several essentially macroscopic clusters coexist immediately before the transition, announcing discontinuous percolation. These results explain how single links may drastically change macroscopic connectivity in networks where links add competitively."],["dc.identifier.doi","10.1038/NPHYS1860"],["dc.identifier.isi","000287844300028"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/23723"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Nature Publishing Group"],["dc.relation.issn","1745-2473"],["dc.title","Impact of single links in competitive percolation"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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  • 2010Conference Abstract
    [["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Biophysical Journal"],["dc.bibliographiccitation.volume","98"],["dc.contributor.author","Uppaluri, Sravanti"],["dc.contributor.author","Nagler, Jan"],["dc.contributor.author","Stellamanns, Eric"],["dc.contributor.author","Heddergott, Niko"],["dc.contributor.author","Ensgtler, Markus"],["dc.contributor.author","Pfohl, Thomas"],["dc.date.accessioned","2018-11-07T08:47:11Z"],["dc.date.available","2018-11-07T08:47:11Z"],["dc.date.issued","2010"],["dc.format.extent","416A"],["dc.identifier.isi","000208762004073"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/20885"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Cell Press"],["dc.publisher.place","Cambridge"],["dc.relation.issn","0006-3495"],["dc.title","Impact of Microscopic Motility Schemes on the Overall Swimming Behavior of Parasites"],["dc.type","conference_abstract"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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  • 2014Journal Article
    [["dc.bibliographiccitation.artnumber","228101"],["dc.bibliographiccitation.issue","22"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","112"],["dc.contributor.author","Stollmeier, Frank"],["dc.contributor.author","Geisel, Theo"],["dc.contributor.author","Nagler, Jan"],["dc.date.accessioned","2018-11-07T09:39:00Z"],["dc.date.available","2018-11-07T09:39:00Z"],["dc.date.issued","2014"],["dc.description.abstract","The magnitude and variability of Earth's biodiversity have puzzled scientists ever since paleontologic fossil databases became available. We identify and study a model of interdependent species where both endogenous and exogenous impacts determine the nonstationary extinction dynamics. The framework provides an explanation for the qualitative difference of marine and continental biodiversity growth. In particular, the stagnation of marine biodiversity may result from a global transition from an imbalanced to a balanced state of the species dependency network. The predictions of our framework are in agreement with paleontologic databases."],["dc.identifier.doi","10.1103/PhysRevLett.112.228101"],["dc.identifier.isi","000336915100005"],["dc.identifier.pmid","24949790"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/33183"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","1079-7114"],["dc.relation.issn","0031-9007"],["dc.title","Possible Origin of Stagnation and Variability of Earth's Biodiversity"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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  • 2013Journal Article
    [["dc.bibliographiccitation.artnumber","052130"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW E"],["dc.bibliographiccitation.volume","87"],["dc.contributor.author","Chen, Wei"],["dc.contributor.author","Nagler, Jan"],["dc.contributor.author","Cheng, Xueqi"],["dc.contributor.author","Jin, Xiaolong"],["dc.contributor.author","Shen, Huawei"],["dc.contributor.author","Zheng, Zhiming"],["dc.contributor.author","D'Souza, Raissa M."],["dc.date.accessioned","2018-11-07T09:24:36Z"],["dc.date.available","2018-11-07T09:24:36Z"],["dc.date.issued","2013"],["dc.description.abstract","Percolation describes the sudden emergence of large-scale connectivity as edges are added to a lattice or random network. In the Bohman-Frieze-Wormald model (BFW) of percolation, edges sampled from a random graph are considered individually and either added to the graph or rejected provided that the fraction of accepted edges is never smaller than a decreasing function with asymptotic value of alpha, a constant. The BFW process has been studied as a model system for investigating the underlying mechanisms leading to discontinuous phase transitions in percolation. Here we focus on the regime alpha is an element of [0.6,0.95] where it is known that only one giant component, denoted C-1, initially appears at the discontinuous phase transition. We show that at some point in the supercritical regime C-1 stops growing and eventually a second giant component, denoted C-2, emerges in a continuous percolation transition. The delay between the emergence of C-1 and C-2 and their asymptotic sizes both depend on the value of a and we establish by several techniques that there exists a bifurcation point alpha(c) = 0.763 +/- 0.002. For a. [0.6, ac), C-1 stops growing the instant it emerges and the delay between the emergence of C-1 and C-2 decreases with increasing alpha. For alpha is an element of (alpha(c), 0.95], in contrast, C-1 continues growing into the supercritical regime and the delay between the emergence of C-1 and C-2 increases with increasing alpha. As we show, alpha(c) marks the minimal delay possible between the emergence of C-1 and C-2 (i.e., the smallest edge density for which C-2 can exist). We also establish many features of the continuous percolation of C-2 including scaling exponents and relations."],["dc.identifier.doi","10.1103/PhysRevE.87.052130"],["dc.identifier.isi","000319393900001"],["dc.identifier.pmid","23767510"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/29864"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","1539-3755"],["dc.title","Phase transitions in supercritical explosive percolation"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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  • 2017Book Chapter
    [["dc.bibliographiccitation.firstpage","307"],["dc.bibliographiccitation.lastpage","342"],["dc.contributor.author","Li, Wenzhong"],["dc.contributor.author","Lu, Sanglu"],["dc.contributor.author","Zhu, Konglin"],["dc.contributor.author","Chen, Xiao"],["dc.contributor.author","Nagler, Jan"],["dc.contributor.author","Fu, Xiaoming"],["dc.contributor.editor","Fu, Xiaoming"],["dc.contributor.editor","Luo, Jar-Der"],["dc.contributor.editor","Boos, Margarete"],["dc.date.accessioned","2017-09-07T11:44:50Z"],["dc.date.available","2017-09-07T11:44:50Z"],["dc.date.issued","2017"],["dc.identifier.doi","10.1201/9781315369594-14"],["dc.identifier.gro","3148990"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/5629"],["dc.language.iso","en"],["dc.notes.intern","Fu Crossref Import"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.publisher","CRC Press"],["dc.publisher.place","Boca Raton/London/New York"],["dc.relation.eisbn","978-1-4987-3668-8"],["dc.relation.isbn","978-1-4987-3664-0"],["dc.relation.ispartof","Social Network Analysis"],["dc.title","Information Dissemination in Social-Featured Opportunistic Networks"],["dc.type","book_chapter"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]
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  • 2013Journal Article
    [["dc.bibliographiccitation.artnumber","2222"],["dc.bibliographiccitation.journal","Nature Communications"],["dc.bibliographiccitation.volume","4"],["dc.contributor.author","Schroeder, Malte"],["dc.contributor.author","Rahbari, S. H. Ebrahimnazhad"],["dc.contributor.author","Nagler, Jan"],["dc.date.accessioned","2018-11-07T09:22:43Z"],["dc.date.available","2018-11-07T09:22:43Z"],["dc.date.issued","2013"],["dc.description.abstract","Crackling noise is a common feature in many systems that are pushed slowly, the most familiar instance of which is the sound made by a sheet of paper when crumpled. In percolation and regular aggregation, clusters of any size merge until a giant component dominates the entire system. Here we establish 'fractional percolation', in which the coalescence of clusters that substantially differ in size is systematically suppressed. We identify and study percolation models that exhibit multiple jumps in the order parameter where the position and magnitude of the jumps are randomly distributed-characteristic of crackling noise. This enables us to express crackling noise as a result of the simple concept of fractional percolation. In particular, the framework allows us to link percolation with phenomena exhibiting non-self-averaging and power law fluctuations such as Barkhausen noise in ferromagnets."],["dc.description.sponsorship","INSF [90004064]"],["dc.identifier.doi","10.1038/ncomms3222"],["dc.identifier.isi","000323717900002"],["dc.identifier.pmid","23887743"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/29415"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Nature Publishing Group"],["dc.relation.issn","2041-1723"],["dc.title","Crackling noise in fractional percolation"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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  • 2014Journal Article
    [["dc.bibliographiccitation.issue","15"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","112"],["dc.contributor.author","Chen, Wei"],["dc.contributor.author","Schroeder, Malte"],["dc.contributor.author","D'Souza, Raissa M."],["dc.contributor.author","Sornette, Didier"],["dc.contributor.author","Nagler, Jan"],["dc.date.accessioned","2018-11-07T09:41:12Z"],["dc.date.available","2018-11-07T09:41:12Z"],["dc.date.issued","2014"],["dc.identifier.doi","10.1103/PhysRevLett.112.155701"],["dc.identifier.isi","000335228000006"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/33676"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","1079-7114"],["dc.relation.issn","0031-9007"],["dc.title","Microtransition Cascades to Percolation"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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  • 2018Journal Article
    [["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","120"],["dc.contributor.author","Stollmeier, Frank"],["dc.contributor.author","Nagler, Jan"],["dc.date.accessioned","2020-12-10T18:25:45Z"],["dc.date.available","2020-12-10T18:25:45Z"],["dc.date.issued","2018"],["dc.identifier.doi","10.1103/PhysRevLett.120.058101"],["dc.identifier.eissn","1079-7114"],["dc.identifier.issn","0031-9007"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/75812"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Unfair and Anomalous Evolutionary Dynamics from Fluctuating Payoffs"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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  • 2014Journal Article
    [["dc.bibliographiccitation.artnumber","e100023"],["dc.bibliographiccitation.issue","6"],["dc.bibliographiccitation.journal","PLoS ONE"],["dc.bibliographiccitation.volume","9"],["dc.contributor.author","Zhu, Konglin"],["dc.contributor.author","Li, Wenzhong"],["dc.contributor.author","Fu, Xiaoming"],["dc.contributor.author","Nagler, Jan"],["dc.date.accessioned","2017-09-07T11:44:55Z"],["dc.date.available","2017-09-07T11:44:55Z"],["dc.date.issued","2014"],["dc.identifier.doi","10.1371/journal.pone.0100023"],["dc.identifier.gro","3149014"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/5656"],["dc.notes.intern","Fu Crossref Import"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.publisher","Public Library of Science (PLoS)"],["dc.relation.issn","1932-6203"],["dc.title","How Do Online Social Networks Grow?"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]
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  • 2008Journal Article
    [["dc.bibliographiccitation.artnumber","036207"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW E"],["dc.bibliographiccitation.volume","78"],["dc.contributor.author","Nagler, Jan"],["dc.contributor.author","Richter, Peter"],["dc.date.accessioned","2018-11-07T11:11:52Z"],["dc.date.available","2018-11-07T11:11:52Z"],["dc.date.issued","2008"],["dc.description.abstract","Tossing the dice is commonly considered a paradigm for chance. But where in the process of throwing a cube does the randomness reside? After all, for all practical purposes the motion is described by the laws of deterministic classical mechanics. Therefore the undisputed status of dice as random number generators calls for a careful analysis. This paper is an attempt in that direction. As a simplified model of a dice a barbell with two marked masses at its tips and only two final positions is considered. It is shown how, depending on initial conditions and the degree of dissipation during bounces, the outcome is only more or less unpredictable: the system is not truly random but pseudorandom-even under conditions where it appears to be random."],["dc.identifier.doi","10.1103/PhysRevE.78.036207"],["dc.identifier.isi","000259683100030"],["dc.identifier.pmid","18851121"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/53532"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","1539-3755"],["dc.title","How random is dice tossing?"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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