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Small Large-Scale Wireless Networks: Mobility-Assisted Resource Discovery
Abstract: In this study, the concept of small worlds is investigated in the context of
large-scale wireless ad hoc and sensor networks. Wireless networks are spatial
graphs that are usually much more clustered than random networks and have much
higher path length characteristics. We observe that by adding only few random
links, path length of wireless networks can be reduced drastically without
affecting clustering. What is even more interesting is that such links need not
be formed randomly but may be confined to a limited number of hops between the
connected nodes. This has an important practical implication, as now we can
introduce a distributed algorithm in large-scale wireless networks, based on
what we call contacts, to improve the performance of resource discovery in such
networks, without resorting to global flooding. We propose new contact-based
protocols for adding logical short cuts in wireless networks efficiently. The
new protocols take advantage of mobility in order to increase reachability of
the search. We study the performance of our proposed contact-based
architecture, and clarify the context in which large-scale wireless networks
can be turned into small world networks.
Networking and Internet Architecture (cs.NI)
ACM&classes:
C.2.1; C.2.2
[cs.NI] for this version)
Submission history
From: Ahmed Helmy []
[v1] Wed, 17 Jul :39 GMTFull-text links:
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Effective field theory for the small-x evolution
Abstract: The small-x behavior of structure functions in the saturation region is
determined by the non-linear generalization of the BFKL equation. I suggest the
effective field theory for the small-x evolution which solves formally this
equation. The result is the 2+1 functional integral for the structure functions
at small x.
High Energy Physics - Phenomenology (hep-ph)
Journal&reference:
Phys.Lett.B518:235-242,2001
Report&number:
JLAB-THY-01-15
for this version)
Submission history
From: Ian Balitsky []
[v1] Thu, 31 May :30 GMTFull-text links:
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Renormalization Group Improved Small-x Equation
Abstract: We propose and analyze an improved small-x equation which incorporates exact
leading and next-to-leading BFKL kernels on one hand and renormalization group
constraints in the relevant collinear limits on the other. We work out in
detail the recently proposed omega-expansion of the solution, derive the
Green's function factorization properties and discuss both the gluon anomalous
dimension and the hard pomeron. The resummed results are stable, nearly
renormalization-scheme independent, and join smoothly with the fixed order
perturbative regime. Two critical hard pomeron exponents are provided, which -
for reasonable strong-coupling extrapolations - are argued to provide bounds on
the pomeron intercept.
High Energy Physics - Phenomenology (hep-ph)
Journal&reference:
Phys.Rev. D60 (
Report&number:
DFF-338-5-99
for this version)
Submission history
From: Colferai Dimitri []
[v1] Mon, 31 May :12 GMTFull-text links:
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On the properties of small-world network models
Abstract: We study the small-world networks recently introduced by Watts and Strogatz
[Nature {\bf 393}, 440 (1998)], using analytical as well as numerical tools. We
characterize the geometrical properties resulting from the coexistence of a
local structure and random long-range connections, and we examine their
evolution with size and disorder strength. We show that any finite value of the
disorder is able to trigger a ``small-world'' behaviour as soon as the initial
lattice is big enough, and study the crossover between a regular lattice and a
``small-world'' one. These results are corroborated by the investigation of an
Ising model defined on the network, showing for every finite disorder fraction
a crossover from a high-temperature region dominated by the underlying
one-dimensional structure to a mean-field like low-temperature region. In
particular there exists a finite-temperature ferromagnetic phase transition as
soon as the disorder strength is finite.
Disordered Systems and Neural Networks (cond-mat.dis-nn)
Journal&reference:
Europ. Phys. J. B 13, 547 (2000)
[cond-mat.dis-nn]
[cond-mat.dis-nn] for this version)
Submission history
From: Martin Weigt []
Mon, 29 Mar :23 GMT
[v2] Wed, 25 Aug :27 GMTFull-text links:
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Small x Phenomenology - summary of the 3rd Lund Small x Workshop in 2004
Abstract: A third workshop on small-x physics, within the Small-x Collaboration, was
held in Hamburg in May 2004 with the aim of overviewing recent theoretical
progress in this area and summarizing the experimental status.
High Energy Physics - Phenomenology (hep-ph)
Journal&reference:
Eur.Phys.J.C48:53-105,2006
Report&number:
DESY 06-052
for this version)
Submission history
From: Hannes Jung []
[v1] Fri, 21 Apr :12 GMT