random walks on graphs electric networks and fractals

... models on (finite) digraphs. We also study the random walk on the set of single-chip-and-rotor states which is induced by the random walk on a strongly connected digraph. We show that its stationary ... rotor-router operation and stationary distribution of random walks on directed graphs∗ Trung Van Pham July 23, 2014 Abstract The rotor-router model is a popular deterministic analogue of random walk. ... performs a random walk on G. The structure of this paper is as follows. In Section 2 we will give some background on the rotor-router model and the random walk. The definitions and the results on the

Ngày tải lên: 14/10/2015, 15:20

... of any unproved assertions below 2.1 Understanding Random Walks on Graphs in the Context of Markov Chains Weappeal to [No] for the following association of random walks on graphs to discrete timeMarkov ... undirected, strongly connected graphs The rest of the thesis is organized asfollows: Section 2 constructs a theoretical conceptualization of hitting times for randomwalks on graphs, Section 3 uses ... both supports ural observations about random walks on graphs and allows us to move toward our goal nat-of calculating expected hitting times for random walks on finite graphs The reader isinstructed

Ngày tải lên: 21/09/2015, 21:23

... where f ranges over all non-constant functions f : V →R and π is the stationary distribution of the nearest neighbor random walk on Γ In a recent paper [9], Diaconis and Saloffe-Coste show that ... In a random walk on a connected weighted graph Γ, the transition matrix P satisfies 1T P = 1T Thus, the stationary distribution is just 1T/vol(Γ), where vol(Γ) =P x dx and 1 is the all ones ... crn2log n where the constant cr depends only on the order r of G 1 Introduction One method often used in computational group theory for generating random elements from a given (non-trivial) finite

Ngày tải lên: 07/08/2014, 06:22

... recent database of known disease-miRNA associations Conclusions: Summarizing, using random walks on mutual miRNA-target networks improves the prediction of novel disease-associated miRNAs because ... al [13] constructed functional synergistic regulatory interactions between miRNAs by considering common target genes in the context of gene ontology and prox-imity in a protein interaction network ... In addition, we downloaded predicted human miRNA-target gene associations from TargetScan with non-conserved site context++ scores, and constructed a second heterogeneous miRNA network consisting

Ngày tải lên: 25/11/2020, 16:28

... various environments triggers new applications and services that in turn generate new constraints For example, heterogeneous networks will integrate ad hoc and sensor so-lutions into wired and/or wireless ... combine these heterogeneous networks with vehicular sensor networks (VSNs), vehicu-lar mesh networks (Vmeshs), and other existing networks While the interconnection of these networks must ensure transport ... VMesh to connect disjoint sensor networks Trang 3For safer and more reliable data transmission on VSN,ensuring more stable and robust communication link is more important than saving energy and decreasing

Ngày tải lên: 22/06/2014, 19:20

... localization process for the mobile station cannot be solved analytically. The well-known iterative Gauss-Newton method as standard solution fails to converge for certain geometric constellations and ... Jr., Global Positioning System: Theory and Applications, Volume 1, vol 163 of Progress in Astronautics and Aeronautics, American Institute of Aeronautics & Astronautics, Reston, Va, USA, 1996 ... solutions by Taylor-series estimation,” IEEE Transactions on Aerospace and Electronic Systems, vol 12, no 2, pp 187–194, 1976 F R Kschischang, B J Frey, and H.-A Loeliger, Factor graphs and

Ngày tải lên: 22/06/2014, 20:20

... edition, 2004 [2] A Ramamoorthy, J Shi, and R D Wesel, “On the capacity of network coding for random networks,” in Proceedings of the 41st Allerton Conference on Communication, Control and Com-puting, ... framework of random graph Nodes and links of a net-work are considered as vertices and edges of a random graph G(V, E), respectively, where V is the set of vertices, each with a random location, andE ... for random networks by studying the relationship between max-flow capacity of network and the probability of links’ existence in random networks in a unit square region In this paper, based on

Ngày tải lên: 22/06/2014, 22:20

... min-max conjecture of Woodall, J Graph Theory 38 (2001), no 1, 36–41. [6] A Schrijver, Min-max relations for directed graphs, Bonn Workshop on Combinatorial Optimization (Bonn, 1980), North-Holland, ... `), and letting T be the cardinal-ity of this union For these choices of V(m) and T , and the above choices for ε, γ, B, C and D one may easily check properties (i)–(iii) from the definition ... Trang 1A density result for random sparse oriented graphsand its relation to a conjecture of Woodall Jair Donadelli∗ Departamento de Inform´atica Universidade Federal

Ngày tải lên: 07/08/2014, 07:21

... discovery and verification, robot navigation, connected joins in graphs, and strategies for Mastermind game The works developed by C´aceres et al [6] and Hernando et al [15] provide recent results and ... dimension of trees and unicyclic graphs See also [22] for tight bounds on the metric dimension of unicyclic graphs Some other important works related to the metric dimension have to do with wheels and ... to consider any set Det(G) = 0 if and only if G is an identity graph, i.e., Aut(G) is trivial Those graphs are also called asymmetric graphs (Albertson and Collins [2] use the term rigid graphs

Ngày tải lên: 08/08/2014, 12:22

... et al., (2000), Digraphs: Theory, Algorithms and Applications, Springer, ISBN 1-85233-268-9 [13] Barabási, A.L., R Albert, and H Jeong, Scale-free characteristics of random networks: the topology ... of protein interaction and random networks, 2009, World Scientific Pub Co Inc p 178 89 [33] Cook, D.J and L.B Holder, Substructure discovery using minimum description length and background knowledge, ... 2005 [37] Dodds, P.S and D.H Rothman, Geometry of river networks I Scaling, fluctuations, and deviations, 2000, APS p 016115 [38] Dorogovtsev, S.N and J.F.F Mendes, Evolution of networks, 2001 [39]

Ngày tải lên: 24/08/2014, 11:53

... design and conduct a distributed. .. formulated non-linear constrained optimization problem considered only one class of jobs and showed that the delay functions were indeed convex and ... computation. [...]... exist Detailed analysis and discussions on studying the strategies are conducted with the consideration of practical constraints In the following, the main contributions ... situations, evolves to dynamic situations, and the evolution of indivisible load balancing and. .. there are some dierences among the network congurations In [5, 33], Tantawi and Towsley

Ngày tải lên: 16/09/2015, 15:54

... Designed Monomers and Polymers Publication details, including instructions for authors and subscription information: http://www.tandfonline.com/loi/tdmp20 Synthesis and characterization of diblock ... anyone is expressly forbidden Terms & Conditions of access and use can be found at http:// www.tandfonline.com/page/terms-and-conditions Designed Monomers and Polymers, 2015 Vol 18, No 3, 271–283, ... cyanide anion non-containing solution (Figure 6) The fluorescence intensity of the cyanide anion-containing copolymer solution decreases by about 57% upon irradiation This phenomenon can be attributed

Ngày tải lên: 16/12/2017, 14:35

... process Among the oldest results for random walks are perhaps the Bernoulli law of large numbers and the De Moivre–Laplace central limit theorem for Bernoulli random walks and simple random walks, ... symmetric simple random walk (sometimes the coin-tossing random walk or the symmetric Bernoulli random walk) A renewal process is a random walk with nonnegative increments; the Bernoulli random walk ... of applications, more natural to consider random walks evaluated at fixed or specific random times, and, hence, after a random number of steps Namely, suppose we have some application in mind,

Ngày tải lên: 20/01/2020, 08:06

... theo-rem, based on U (t), thus requires this additional condition and, thus, cannot hold for all random walks under consideration A final argument is that somevery important random time points considered ... a theory on the (limiting)behavior of randomly indexed random walks Furthermore, in view of theimmense interest and effort that has been spent on ordinary random walks,in particular, on the classical ... process Among the oldest results for random walks are perhaps the Bernoulli law oflarge numbers and the De Moivre–Laplace central limit theorem for Bernoullirandom walks and simple random walks,

Ngày tải lên: 03/03/2020, 10:10

... 6):S9: Kauffman S Homeostasis and differentiation in random genetic control networks Nature 1969;224:177–8 Kauffman SA Metabolic stability and epigenesis in randomly constructed genetic nets J Theor ... Instead the function that determines the expression of a gene incorporates conditions imposed by terminators As we not model different growth and degradation rates and consider only two states ... happen when a protein concentration grows above an association constant or falls below a dissociation constant As long as no binding site state is altered the protein concentrations will be either

Ngày tải lên: 25/11/2020, 12:32

... Normalization Trang 31Convolutional Neural Networks (CNN) were invented by [5] In 1989, Yann LeCun and Yoshua Bengio introduced the concept of Convolutional Neural networks Patterns of Local Contrast ... Trang 1Introduction to Neural Networks and Deep LearningIntroduction to the Convolutional Network Andres Mendez-Vazquez March 28, 2021 Trang 21 Introduction The Long Path The Problem of ... connected only to a subregion (patch) of theinput image It is connected to all channels: Trang 43Local ConnectivityWe decide only to connect the neurons in a local way Each hidden unit is connected

Ngày tải lên: 09/09/2022, 20:04

... (homogeneous information network mining) Như đã đề cập trong các phần trên về sự phức tạp cũng như đa dạng trong loại của các nút và quan hệ giữa chúng trong thực tế Trong quá khứ, hầu hết các ... ĐỒNG TRONG MẠNG THÔNGTương đồng trong chủ đề giữa các thực thể giàu ngữ liệu văn bản3.1.1 Áp dụng mô hình chủ đề LDA trong khám phá sự phân bố của chủ đề trong các thực thể ở dạng văn bản Trong ... và khai phá mạng thông tin (Information Network Analysis and Mining – INAM) [1] [2] [3] [4] được coi là một trong các lĩnh vực đóng vai trò then chốt trong hầu hết các nền tảng hệ thống cũng

Ngày tải lên: 29/10/2022, 00:15

... assessment of experimental conditions including parameters such as field type, strength and dimensions, medium composition, and conductivity, has compro-mised the interpretation of experimental data ... considerations and the detailed fabrication process along with a description of the reusability procedure can be found in the supplemental material Biological material and experimental test conditions ... medium and injection into the chip Once the pollen is positioned in the ELoC, the growth medium flow is stopped and the electric field is turned on Then the pollen tubes are left to germinate and

Ngày tải lên: 04/12/2022, 14:51

... aspects related to nutrition and metabolism [46] Conclusions The incorporation of genomic information into random regression models has allowed for the identification of regions that are potentially ... UCP2 and UCP3, produce carrier proteins of the inner membrane of the mitochondria that release pro-tons in respiring mitochondria and expression of these enzymes is nutritionally and hormonally ... (DBWAvg) on 8981 (n = 525,240 observations) and 5643 (n = 283,607 observations) animals were utilized in a random regression model using Legendre polynomials (order = 2) and a relationship matrix

Ngày tải lên: 27/03/2023, 04:53

... aforementioned results is a kind of line graph construction mapping graphs with forbidden transitions to edge-colored graphs Definition 2 Let G = (V, E) be a multigraph and T be a transition system on ... “tree-like”condition instead of an acyclicity (“forest-like”) condition What analogous conditions could one ask of a constrained graph? In the case of rainbowpaths and cycles, we may consider edge-colored ... each one of the following pairs: x11 and x12; x13 and x14; x21 and x22; x23 and x24; · · ·; x (r−1)1 and x (r−1)2 ; x (r−1)3 and x (r−1)4 ; x r1 and x r4 ; x r2 and x r2 The part X r is the only

Ngày tải lên: 10/04/2023, 20:55