Class information for:
Level 1: SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM

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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1402 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS 8284
18554 1                   SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM 570

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIERPINSKI GASKET authKW 1318215 10% 40% 59
2 ANALYSIS ON FRACTALS authKW 1179546 4% 89% 24
3 DIRICHLET FORM authKW 549898 11% 16% 63
4 WEAK LAPLACIAN authKW 477872 2% 79% 11
5 SPECTRAL DECIMATION authKW 394933 2% 71% 10
6 FRACTAL GRAPHS authKW 284354 1% 86% 6
7 ENERGY FORMS authKW 199044 1% 60% 6
8 WALK DIMENSION authKW 197467 1% 71% 5
9 SIERPINSKI CARPET authKW 191254 3% 22% 16
10 DIFFUSIONS ON FRACTALS authKW 176931 1% 80% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 14358 68% 0% 388
2 Mathematics, Applied 2152 25% 0% 143
3 Statistics & Probability 1235 12% 0% 67
4 Physics, Mathematical 651 10% 0% 57
5 Mathematics, Interdisciplinary Applications 221 5% 0% 28
6 Physics, Multidisciplinary 30 5% 0% 29
7 Mechanics 1 2% 0% 9
8 Computer Science, Software Engineering 0 1% 0% 3
9 Physics, Fluids & Plasmas -0 1% 0% 3
10 Automation & Control Systems -0 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CNRSCMI 55291 0% 100% 1
2 DIPARTIMENTO ECONOMICOFINANZIARI METODI QUANTIT 55291 0% 100% 1
3 DIPARTIMENTO ET MOD MAT SCI PL 55291 0% 100% 1
4 DOMAINE VOLUCEAUPOEMSUMR 7231 55291 0% 100% 1
5 JACQUES LOUISS LIONS 55291 0% 100% 1
6 MATH INFORMAT CYBERSECUR 55291 0% 100% 1
7 PATRIMONIO ARCHITETTON URBANIST PAU 55291 0% 100% 1
8 PATRIMONIO ARCHITETTURA URBANIST 55291 0% 100% 1
9 UNIV LIETH 55291 0% 100% 1
10 WYDZIAI FIZYKI TECH MATEMATYKI STOSOWANEJ 55291 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POTENTIAL ANALYSIS 36028 5% 3% 26
2 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 10218 3% 1% 15
3 JOURNAL OF FUNCTIONAL ANALYSIS 8479 6% 0% 32
4 PROBABILITY THEORY AND RELATED FIELDS 8427 3% 1% 19
5 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 6285 2% 1% 10
6 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 3098 2% 0% 14
7 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2847 4% 0% 22
8 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 2656 1% 1% 6
9 FORUM MATHEMATICUM 2655 1% 1% 8
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2382 1% 1% 8

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SIERPINSKI GASKET 1318215 10% 40% 59 Search SIERPINSKI+GASKET Search SIERPINSKI+GASKET
2 ANALYSIS ON FRACTALS 1179546 4% 89% 24 Search ANALYSIS+ON+FRACTALS Search ANALYSIS+ON+FRACTALS
3 DIRICHLET FORM 549898 11% 16% 63 Search DIRICHLET+FORM Search DIRICHLET+FORM
4 WEAK LAPLACIAN 477872 2% 79% 11 Search WEAK+LAPLACIAN Search WEAK+LAPLACIAN
5 SPECTRAL DECIMATION 394933 2% 71% 10 Search SPECTRAL+DECIMATION Search SPECTRAL+DECIMATION
6 FRACTAL GRAPHS 284354 1% 86% 6 Search FRACTAL+GRAPHS Search FRACTAL+GRAPHS
7 ENERGY FORMS 199044 1% 60% 6 Search ENERGY+FORMS Search ENERGY+FORMS
8 WALK DIMENSION 197467 1% 71% 5 Search WALK+DIMENSION Search WALK+DIMENSION
9 SIERPINSKI CARPET 191254 3% 22% 16 Search SIERPINSKI+CARPET Search SIERPINSKI+CARPET
10 DIFFUSIONS ON FRACTALS 176931 1% 80% 4 Search DIFFUSIONS+ON+FRACTALS Search DIFFUSIONS+ON+FRACTALS

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 23545 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//HADAMARD FORMULA
2 13873 GROMOV HYPERBOLICITY//STOCHASTIC COMPLETENESS//INFINITE GRAPHS
3 6654 LEVY SYSTEM//DIRICHLET FORM//SYMMETRIC STABLE PROCESS
4 6489 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
5 23270 WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//EXTERIOR REGIONS
6 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
7 15001 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS//RANDOM ENVIRONMENT
8 11161 FRACTON//FIS FCEYN//STELLA AVRAM GOREN GOLDSTEIN BIOTECHNOL EN
9 9905 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BRANCHING BROWNIAN MOTION
10 6766 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC

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