Class information for:
Level 1: STOCHASTIC MATRIX//SINGULARLY PERTURBED MARKOV CHAIN//PERRON COMPLEMENT

Basic class information
Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
1812 2             LINEAR ALGEBRA AND ITS APPLICATIONS//DRAZIN INVERSE//GROUP INVERSE 6568
17696 1                   STOCHASTIC MATRIX//SINGULARLY PERTURBED MARKOV CHAIN//PERRON COMPLEMENT 615

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STOCHASTIC MATRIX authKW 428190 5% 27% 31
2 SINGULARLY PERTURBED MARKOV CHAIN authKW 409965 1% 100% 8
3 PERRON COMPLEMENT authKW 319294 1% 69% 9
4 ITERATIVE AGGREGATION DISAGGREGATION METHOD authKW 263547 1% 86% 6
5 STATIONARY PROBABILITY DISTRIBUTION VECTOR authKW 256228 1% 100% 5
6 UNEXTENDABLE DEAD TIME PERIOD authKW 256228 1% 100% 5
7 GROUP INVERSES authKW 230602 1% 75% 6
8 STATIONARY VECTOR authKW 230602 1% 75% 6
9 SWITCHING DIFFUSION authKW 206677 2% 37% 11
10 NONNEGATIVE IRREDUCIBLE MATRIX authKW 204978 1% 67% 6

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 9840 50% 0% 308
2 Mathematics 3371 33% 0% 201
3 Statistics & Probability 2790 17% 0% 103
4 Operations Research & Management Science 1169 10% 0% 63
5 Automation & Control Systems 1045 9% 0% 55
6 Computer Science, Information Systems 97 4% 0% 24
7 Computer Science, Theory & Methods 77 4% 0% 23
8 Mathematics, Interdisciplinary Applications 72 3% 0% 18
9 Computer Science, Software Engineering 51 3% 0% 16
10 Engineering, Industrial 47 2% 0% 11

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LAMOS 160360 2% 24% 13
2 MODELING OPTIMIZAT SYST 116462 1% 45% 5
3 MODELIZAT OPTIMIZAT SYST 68326 0% 67% 2
4 COMP SCI DOCTORATE 51246 0% 100% 1
5 JOINT SYST BRANCH 51246 0% 100% 1
6 KATEDRA NUMER MATEMATIKY 51246 0% 100% 1
7 LAMOS MODELIZAT OPTIMIZAT SYST 51246 0% 100% 1
8 LAMOS MODELLING OPTIMIZAT SYST 51246 0% 100% 1
9 LOS ANGELES HARBOR W LA 51246 0% 100% 1
10 MATH TOPOL 51246 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LINEAR ALGEBRA AND ITS APPLICATIONS 46331 17% 1% 103
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 32392 6% 2% 37
3 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 25882 2% 3% 15
4 JOURNAL OF APPLIED PROBABILITY 9026 4% 1% 25
5 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 6991 2% 1% 10
6 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 2789 0% 2% 3
7 ADVANCES IN APPLIED PROBABILITY 2597 2% 1% 10
8 PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES 2576 1% 1% 6
9 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 2161 1% 1% 6
10 NUMERISCHE MATHEMATIK 2025 2% 0% 11

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 STOCHASTIC MATRIX 428190 5% 27% 31 Search STOCHASTIC+MATRIX Search STOCHASTIC+MATRIX
2 SINGULARLY PERTURBED MARKOV CHAIN 409965 1% 100% 8 Search SINGULARLY+PERTURBED+MARKOV+CHAIN Search SINGULARLY+PERTURBED+MARKOV+CHAIN
3 PERRON COMPLEMENT 319294 1% 69% 9 Search PERRON+COMPLEMENT Search PERRON+COMPLEMENT
4 ITERATIVE AGGREGATION DISAGGREGATION METHOD 263547 1% 86% 6 Search ITERATIVE+AGGREGATION+DISAGGREGATION+METHOD Search ITERATIVE+AGGREGATION+DISAGGREGATION+METHOD
5 STATIONARY PROBABILITY DISTRIBUTION VECTOR 256228 1% 100% 5 Search STATIONARY+PROBABILITY+DISTRIBUTION+VECTOR Search STATIONARY+PROBABILITY+DISTRIBUTION+VECTOR
6 UNEXTENDABLE DEAD TIME PERIOD 256228 1% 100% 5 Search UNEXTENDABLE+DEAD+TIME+PERIOD Search UNEXTENDABLE+DEAD+TIME+PERIOD
7 GROUP INVERSES 230602 1% 75% 6 Search GROUP+INVERSES Search GROUP+INVERSES
8 STATIONARY VECTOR 230602 1% 75% 6 Search STATIONARY+VECTOR Search STATIONARY+VECTOR
9 SWITCHING DIFFUSION 206677 2% 37% 11 Search SWITCHING+DIFFUSION Search SWITCHING+DIFFUSION
10 NONNEGATIVE IRREDUCIBLE MATRIX 204978 1% 67% 6 Search NONNEGATIVE+IRREDUCIBLE+MATRIX Search NONNEGATIVE+IRREDUCIBLE+MATRIX

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1


rank cluster_id2 link
1 33358 FELLER CONTINUITY//REGIME SWITCHING DIFFUSIONS//STRONG FELLER CONTINUITY
2 19835 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
3 10650 PERFORMABILITY//STOCHASTIC PETRI NETS//STOCHASTIC AUTOMATA NETWORKS
4 20904 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE
5 25961 PRIMITIVE DIGRAPH//SCRAMBLING INDEX//PRIMITIVE MATRIX
6 18278 QUASI STATIONARY DISTRIBUTION//MARKOV BRANCHING PROCESS//DECAY PARAMETER
7 27553 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
8 16078 PAGERANK//GOOGLE MATRIX//FOCUSED CRAWLER
9 36953 MARKOV RELIABILITY MODELS//BENZINE EXTRACTION UNIT//BER PERFORMANCE BOUND
10 25664 EVENTUALLY NONNEGATIVE MATRICES//EVENTUALLY NONNEGATIVE MATRIX//NONMAXIMAL EIGENVALUES

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