MSMoE33
Random Graphs and Complex Networks  Part II of II
For Part I, see MSMoD33
Date: August 10
Time: 16:0018:00
Room: 406
(Note: Click title to show the abstract.)
Organizer:
Han, Dong (Shanghai Jiao Tong Univ.)
Wu, Xian Yuan (School of Math. Sci., Capital normal Univ.)
Zhang, XiaoDong (Shanghai Jiao Tong Univ.)
Abstract: We focus on the following questions of random graph and complex networks.
How to classify the structure of different random growing networks?
How do the dynamical processes taking place on a random network shape the network topology?
Spectral theory of random graphs.
Random matrix and its application.
Stochastic processes on random graphs and complex networks.
MSMoE331
16:0016:30
Asymptotic Behavior for LongRange SelfAvoiding Walks in high dimensions
Chen, LungChi (National Chengchi Univ.)
Abstract: We consider longrange selfavoiding walk on $\mathbb{Z}^d$ whose 1step distribution is given by $D$. Suppose that $D(x)$ decays as
$x^{d\alpha}$ with $\alpha>2$. The uppercritical dimension
$d_c$ is $2(\alpha\wedge 2)$ for selfavoiding walk. Assume certain
heatkernel bounds on the $n$step distribution of the underlying random walk.
In this talk, I present that the critical twopoint function obeys various critical exponents take on their respective meanfield values if the dimension $d>d_c$.
MSMoE332
16:3017:00
Limiting spectral distribution of random birthdeath Q matrices
Han, Dong (Shanghai Jiao Tong Univ.)
Zhang, Deng (Shanghai Jiao Tong Univ.)
Abstract: This article studies
the limiting spectral distributions of random birthdeath Q
matrices. Under the strictly stationary ergodic conditions, we prove
that the empirical spectral distribution converges weakly to a
nonrandom probability distribution. Furthermore, in
the situations without strictly stationary ergodic conditions, we
study a class of random birthdeath Q matrices, corresponding to
generalizations of the BetaHermite ensembles, and establish the
existences as well as convolution formulations of their limiting
spectral distributions.
MSMoE333
17:0017:30
Phase transition on the degree sequence of a random graph process with vertex copying and deletion
Dong, Zhao (Acad. of Mathematics & Sys. Sci., CAS)
Abstract: This paper focuses on the degree sequence of a random graph process with copying and vertex deletion. A phase transition is revealed as the following: when copying strictly dominates deletion, the model possesses a power law degree sequence; and when deletion strictly dominates copying, it possesses an exponential one; otherwise, the model possesses an intermediate degree distribution. Author: KaiYuan Cai, Zhao Dong, Ke Liu, XianYuan Wu,
MSMoE334
17:3018:00
Interplay between collective behavior and spreading dynamics on complex networks
Fu, Xinchu (Shanghai Univ.)
Abstract: Based on the dynamical characteristics and traditional physical models, we construct several new bidirectional network models of spreading phenomena. By theoretical and numerical analysis of these models, we find that the collective behavior can inhibit spreading behavior, but, conversely, this spreading behavior can accelerate collective behavior. The results show that an effective spreading control method is to enhance the individual awareness to collective behavior.
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Footnote: Code: TypeDateTimeRoom No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:309:30, B=10:0011:00, C=11:1012:10, BC=10:0012:10, D=13:3015:30, E=16:0018:00, F=19:0020:00, G=12:1013:30, H=15:3016:00
Room No.: TBA
