random walks and diffusion
Orbits of rotor router operation and stationary distribution of random walks on directed graphs
... Markov chains and mixing times, American Mathematical Society, Providence, RI, 2009 xviii+371 pp ISBN: 978-0-8218-4739-8 [7] L Lov´ asz and W Peter Mixing of random walks and other diffusions on ... be considered as an intermediate model between the random walk and the rotor-router model In the variant the chip chooses a neighbor at random and move to this neighbor Thus there are many possible ... chip performs a random walk on G The structure of this paper is as follows In Section we will give some background on the rotor-router model and the random walk The definitions and the results...
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60 Complex Random Variables and Stochastic Processes
... class of random variables, called circular complex random variables Circularity is a type of symmetry in the distributions of the real and imaginary parts of complex random variables and stochastic ... the random variables themselves are complex: the χ , F , and β distributions all describe real random variables functionally dependent on complex Gaussians Let z and q be independent scalar random ... Van Nostrand Company, New York, 1963 [2] Papoulis, A., Probability, Random Variables, and Stochastic Processes, 3rd ed., McGraw-Hill, New York, 1991 [3] Leon-Garcia, A., Probability and Random Processes...
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Tài liệu Bài 2: Random Vectors and Independence pdf
... independence generalizes in a natural way for more than two random variables, and for random vectors Let ::: be random vectors xyz 28 RANDOM VECTORS AND INDEPENDENCE which may in general have different ... different random vectors, and , i = : : : m, some nonrandom scalar coefficients Then m m X aixig X fxig (2.16) x Ef A and = i=1 i=1 E Linear transformation Let be an m-dimensional random vector, and ... (Electronic) Random Vectors and Independence In this chapter, we review central concepts of probability theory,statistics, and random processes The emphasis is on multivariate statistics and random...
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Tài liệu Đề tài " Cover times for Brownian motionand random walks in two dimensions " pdf
... 233–240 [26] ´ ´ P Revesz, Random Walk in Random and Non -Random Environments, World Scientific Publ Col, Teaneck, NJ (1990) [27] D Revuz and M Yor, Continuous Martingales and Brownian Motion, Springer-Verlag, ... approximation of random walks by Brownian paths, which reduces that theorem to a question about Brownian motion on the 2-torus COVER TIMES FOR PLANAR BROWNIAN MOTION AND RANDOM WALKS 435 1.2 Brownian ... and d = 6, corresponding to GN taken d from the triangular, square and honey-comb lattices, of degree d = 3, and 6, respectively Recall that Tn denotes the (random) cover time for a simple random...
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Tài liệu Báo cáo khoa học: "Identifying Text Polarity Using Random Walks" pptx
... validation and 14 seeds rand -walks 88.8 tice that the random walk method outperforms SOPMI when SO-PMI uses datasets of sizes × 107 and × 109 words The performance of SO-PMI and the random walk ... bootstrap method, and the random walk model spin-model 83.6 bootstrap 72.8 short-path 68.8 Table 2: Accuracy for SO-PMI with different dataset sizes, the spin model, and the random walks model for ... vertices S ⊂ V , Consider a random walk on G starting at node i ∈ S Let Nt denote the position of the random surfer at time t Let h(i|S) be the the average number of steps a random walker, starting...
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Tài liệu Báo cáo khoa học: "Answering Opinion Questions with Random Walks on Graphs" docx
... of Web search and some of their variants have been proved successful in a number of applications, including fact-based QA and text summarization (Erkan and Radev, 2004; Mihalcea and Tarau, 2004; ... authorities and both question topic information and opinion sentiment information as hubs The experiment results on the TAC QA data set demonstrate the effectiveness of the proposed Random Walk ... as a topic and sentiment based sentence ranking task In order to naturally integrate the topic and opinion information into the graph based sentence ranking framework, we propose two random walk...
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Đề tài " Combinatorics of random processes and sections of convex bodies " pptx
... independent {0, 1}-valued random variables with Eδi = δ Then the set J = {i ∈ I : δi = 1} is a random subset of I and its average cardinality is s = δ|I| We call J a random set of expected cardinality ... Let x and y be random points drawn from A independently and according to the uniform distribution on A Then x = y with probability − |A|−1 ≥ , and taking the expectation with respect to x and y, ... |σ| ≥ cn/ T and such that Tx ≥ c x for all x ∈ Rσ Denote by (εn ) Rademacher random variables, i.e sequences of independent symmetric ±1 valued random variables 642 M RUDELSON AND R VERSHYNIN...
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Báo cáo khoa học: "Discriminative Language Modeling with Conditional Random Fields and the Perceptron Algorithm" pptx
... Signal Processing (ICASSP), Orlando, Florida John Lafferty, Andrew McCallum, and Fernando Pereira 2001 Conditional random fields: Probabilistic models for segmenting and labeling sequence data In ... 49–55 Andrew McCallum and Wei Li 2003 Early results for named entity recognition with conditional random fields, feature induction and web-enhanced lexicons In Proc CoNLL Mehryar Mohri, Fernando ... http://www.nist.gov/speech/tools David Pinto, Andrew McCallum, Xing Wei, and W Bruce Croft 2003 Table extraction using conditional random fields In Proc ACM SIGIR Adwait Ratnaparkhi, Salim Roukos, and R Todd Ward 1994...
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probability, random processes and ergodic properties - gray
... the random process is then coded or measurements are taken on the random process, then it may be better to model the encoded random process in terms of random variables defined on the original random ... the random process is referred to as a two-sided random process, and the set of all nonnegative integers Z+ = {0, 1, 2, }, in which case the random process is said to be one-sided One-sided random ... first show that collections of random variables such as the random sequence X Z or the random vector X n = {X0 , , Xn−1 } are also measurable and hence themselves random variables Observe that...
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theory and problems of probability, random variables, and random processes - hwei p. hsu
... Chapter Random Variables 1 7 8 38 2.1 Introduction 2.2 Random Variables 2.3 Distribution Functions 2.4 Discrete Random Variables and Probability Mass Functions 2.5 Continuous Random Variables and ... Large Numbers and the Central Limit Theorem Solved Problems Chapter Random Processes 5.1 Introduction 5.2 Random Processes 5.3 Characterization of Random Processes 5.4 Classification of Random Processes ... principles of probability, random variables, and random processes and their applications The book is designed for students in various disciplines of engineering, science, mathematics, and management It...
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adsorption and diffusion (molecular sieves)
... correlations are less clear 3.1 Self -Diffusion and Diffusive Transport Diffusion depends on the random (Brownian) motion of molecules Because the motion is random, in a nonuniform mixture of different ... adsorbent and the various resistances to mass transfer From Ruthven and Post [35] Fig 11 Variation of diffusional activation energy with van der Waals diameter for diffusion in 4A and 5A zeolites and ... and the Ideal Adsorbed Solution Theory are discussed With respect to sorption kinetics, the cases of self -diffusion and transport diffusion are discriminated, their relationship is analyzed and, ...
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probability, random variables and random processes-schaum's outline
... Chapter Random Variables 1 7 8 38 2.1 Introduction 2.2 Random Variables 2.3 Distribution Functions 2.4 Discrete Random Variables and Probability Mass Functions 2.5 Continuous Random Variables and ... Large Numbers and the Central Limit Theorem Solved Problems Chapter Random Processes 5.1 Introduction 5.2 Random Processes 5.3 Characterization of Random Processes 5.4 Classification of Random Processes ... principles of probability, random variables, and random processes and their applications The book is designed for students in various disciplines of engineering, science, mathematics, and management It...
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mcgraw-hill - probability, random variables and random processes (schaum's outlines, ocr) - 1997
... Chapter Random Variables 1 7 8 38 2.1 Introduction 2.2 Random Variables 2.3 Distribution Functions 2.4 Discrete Random Variables and Probability Mass Functions 2.5 Continuous Random Variables and ... Large Numbers and the Central Limit Theorem Solved Problems Chapter Random Processes 5.1 Introduction 5.2 Random Processes 5.3 Characterization of Random Processes 5.4 Classification of Random Processes ... principles of probability, random variables, and random processes and their applications The book is designed for students in various disciplines of engineering, science, mathematics, and management It...
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schaum's outlines - probability, random variables and random processes, 1997
... Chapter Random Variables 1 7 8 38 2.1 Introduction 2.2 Random Variables 2.3 Distribution Functions 2.4 Discrete Random Variables and Probability Mass Functions 2.5 Continuous Random Variables and ... Large Numbers and the Central Limit Theorem Solved Problems Chapter Random Processes 5.1 Introduction 5.2 Random Processes 5.3 Characterization of Random Processes 5.4 Classification of Random Processes ... principles of probability, random variables, and random processes and their applications The book is designed for students in various disciplines of engineering, science, mathematics, and management It...
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