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In studies of complex heterogeneous networks, particularly of the Internet, significant attention was paid to analyzing network failures caused by hardware faults or overload, where the network reaction was modeled as rerouting of traffic away from f
Externí odkaz:
http://arxiv.org/abs/1110.5246
Publikováno v:
IEEE Communications Letters, 14, pp.474-476, 2010
The connectivity of the Internet at the Autonomous System level is influenced by the network operator policies implemented. These in turn impose a direction to the announcement of address advertisements and, consequently, to the paths that can be use
Externí odkaz:
http://arxiv.org/abs/0912.5218
Publikováno v:
IET Communications 5(16), 2011
A new framework to perform routing at the Autonomous System level is proposed in this paper. This mechanism, called Chain Routing, uses complete orders as its main topological unit. Since complete orders are acyclic digraphs that possess a known topo
Externí odkaz:
http://arxiv.org/abs/0912.4613
Autor:
Constantinou, C. C., Stepanenko, A. S.
A natural hierarchical framework for network topology abstraction is presented based on an analogy with the Kadanoff transformation and renormalisation group in theoretical physics. Some properties of the renormalisation group bear similarities to th
Externí odkaz:
http://arxiv.org/abs/0803.3742
Publikováno v:
Phys. Rev. E 77, 046115 (2008)
We introduce a continuum model describing data losses in a single node of a packet-switched network (like the Internet) which preserves the discrete nature of the data loss process. {\em By construction}, the model has critical behavior with a sharp
Externí odkaz:
http://arxiv.org/abs/0801.4709
Publikováno v:
Phys. Rev. E 74, 046120 (2006)
We suggest a model for data losses in a single node of a packet-switched network (like the Internet) which reduces to one-dimensional discrete random walks with unusual boundary conditions. The model shows critical behavior with an abrupt transition
Externí odkaz:
http://arxiv.org/abs/cond-mat/0607755
Autor:
Stepanenko, A. S., Gunn, J. M. F.
We calculate the partition function of a gas of particles obeying Haldane exclusion statistics, using a definition of a Hilbert space having a `fractional dimension' and constructing appropriate coherent states. The fractional dimension is expressed
Externí odkaz:
http://arxiv.org/abs/cond-mat/9910493
Autor:
Stepanenko, A. S., Gunn, J. M. F.
We consider a homogeneous gas of spin-S fermionic atoms, as might occur near the center of an optical trap. In the case where all scattering lengths are negative and of the same magnitude we demonstrate the instability of the Fermi sea to the condens
Externí odkaz:
http://arxiv.org/abs/cond-mat/9901317
The modelling of financial markets presents a problem which is both theoretically challenging and practically important. The theoretical aspects concern the issue of market efficiency which may even have political implications \cite{Cuthbertson}, whi
Externí odkaz:
http://arxiv.org/abs/cond-mat/9806138