Class information for:
Level 1: MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23915 330 20.7 37%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
2349 2             P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL 4382
23915 1                   MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING 330

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MINKOWSKI CONTENT authKW 1511313 8% 58% 28
2 COMPLEX DIMENSIONS authKW 771087 3% 83% 10
3 FRACTAL STRING authKW 681360 3% 82% 9
4 MINKOWSKI MEASURABILITY authKW 555185 2% 100% 6
5 PARALLEL SET authKW 412178 2% 64% 7
6 OSCILLATORY DIMENSION authKW 370123 1% 100% 4
7 FRACTAL CURVATURE MEASURES authKW 277592 1% 100% 3
8 KNESER FUNCTION authKW 277592 1% 100% 3
9 BOX DIMENSION authKW 257451 5% 17% 16
10 TUBE FORMULA authKW 256233 2% 46% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 10320 75% 0% 249
2 Mathematics, Applied 1386 26% 0% 87
3 Physics, Mathematical 328 9% 0% 31
4 Mathematics, Interdisciplinary Applications 108 5% 0% 15
5 Physics, Fluids & Plasmas 43 3% 0% 11
6 Physics, Multidisciplinary 38 7% 0% 22
7 Audiology & Speech-Language Pathology 21 1% 0% 4
8 Acoustics 20 2% 0% 6
9 Statistics & Probability 14 2% 0% 7
10 Mechanics 1 2% 0% 6

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FER 141677 2% 22% 7
2 OT GOLM 138793 1% 50% 3
3 ANIENOIS MATH FONDAMENTALE PL 92531 0% 100% 1
4 IMT ESP 92531 0% 100% 1
5 MECAN VIBROACUST 92531 0% 100% 1
6 REGULARITY TEAM 92531 0% 100% 1
7 STN WILDERTON 92531 0% 100% 1
8 TECHNOL MONTREAL 92531 0% 100% 1
9 PHASE EA 3028 46264 0% 50% 1
10 Y 12M 46264 0% 50% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INDIANA UNIVERSITY MATHEMATICS JOURNAL 5584 4% 1% 12
2 ADVANCES IN CALCULUS OF VARIATIONS 5473 1% 2% 3
3 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 5143 2% 1% 8
4 GEOMETRIAE DEDICATA 3081 3% 0% 10
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 2834 2% 0% 7
6 JOURNAL OF DIFFERENTIAL GEOMETRY 2642 2% 0% 7
7 JOURNAL OF GEOMETRIC ANALYSIS 2546 2% 1% 5
8 ADVANCES IN GEOMETRY 2510 1% 1% 4
9 MANUSCRIPTA MATHEMATICA 2300 3% 0% 9
10 JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 2030 1% 1% 3

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 MINKOWSKI CONTENT 1511313 8% 58% 28 Search MINKOWSKI+CONTENT Search MINKOWSKI+CONTENT
2 COMPLEX DIMENSIONS 771087 3% 83% 10 Search COMPLEX+DIMENSIONS Search COMPLEX+DIMENSIONS
3 FRACTAL STRING 681360 3% 82% 9 Search FRACTAL+STRING Search FRACTAL+STRING
4 MINKOWSKI MEASURABILITY 555185 2% 100% 6 Search MINKOWSKI+MEASURABILITY Search MINKOWSKI+MEASURABILITY
5 PARALLEL SET 412178 2% 64% 7 Search PARALLEL+SET Search PARALLEL+SET
6 OSCILLATORY DIMENSION 370123 1% 100% 4 Search OSCILLATORY+DIMENSION Search OSCILLATORY+DIMENSION
7 FRACTAL CURVATURE MEASURES 277592 1% 100% 3 Search FRACTAL+CURVATURE+MEASURES Search FRACTAL+CURVATURE+MEASURES
8 KNESER FUNCTION 277592 1% 100% 3 Search KNESER+FUNCTION Search KNESER+FUNCTION
9 BOX DIMENSION 257451 5% 17% 16 Search BOX+DIMENSION Search BOX+DIMENSION
10 TUBE FORMULA 256233 2% 46% 6 Search TUBE+FORMULA Search TUBE+FORMULA

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 WINTER, S , (2015) MINKOWSKI CONTENT AND FRACTAL CURVATURES OF SELF-SIMILAR TILINGS AND GENERATOR FORMULAS FOR SELF-SIMILAR SETS.ADVANCES IN MATHEMATICS. VOL. 274. ISSUE . P. 285 -322 22 85% 0
2 LAPIDUS, ML , RADUNOVIC, G , ZUBRINIC, D , (2014) FRACTAL ZETA FUNCTIONS AND COMPLEX DIMENSIONS OF RELATIVE FRACTAL DRUMS.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 15. ISSUE 2. P. 321 -378 23 72% 2
3 LAPIDUS, ML , (2015) TOWARDS QUANTIZED NUMBER THEORY: SPECTRAL OPERATORS AND AN ASYMMETRIC CRITERION FOR THE RIEMANN HYPOTHESIS.PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 373. ISSUE 2047. P. - 24 67% 1
4 KORKUT, L , VLAH, D , ZUBRINIC, D , ZUPANOVIC, V , (2016) WAVY SPIRALS AND THEIR FRACTAL CONNECTION WITH CHIRPS.MATHEMATICAL COMMUNICATIONS. VOL. 21. ISSUE 2. P. 251 -271 15 88% 0
5 DELLADIO, S , (2008) A CLASS OF ONE-DIMENSIONAL GEOMETRIC VARIATIONAL PROBLEMS WITH ENERGY INVOLVING THE CURVATURE AND ITS DERIVATIVES: A GEOMETRIC MEASURE-THEORETIC APPROACH.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 187. ISSUE 4. P. 611-645 15 94% 2
6 KORKUT, L , VLAH, D , ZUPANOVIC, V , (2016) FRACTAL PROPERTIES OF BESSEL FUNCTIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 283. ISSUE . P. 55 -69 10 100% 1
7 HOMOLYA, S , (2003) GENERALISATION OF THE MODIFIED WEYL-BERRY CONJECTURE FOR DRUMS WITH JAGGED BOUNDARIES.PHYSICS LETTERS A. VOL. 318. ISSUE 4-5. P. 380 -387 17 85% 1
8 LAPIDUS, ML , PEARSE, EPJ , (2010) TUBE FORMULAS AND COMPLEX DIMENSIONS OF SELF-SIMILAR TILINGS.ACTA APPLICANDAE MATHEMATICAE. VOL. 112. ISSUE 1. P. 91 -136 14 82% 5
9 KOMBRINK, S , PEARSE, EPJ , WINTER, S , (2016) LATTICE-TYPE SELF-SIMILAR SETS WITH PLURIPHASE GENERATORS FAIL TO BE MINKOWSKI MEASURABLE.MATHEMATISCHE ZEITSCHRIFT. VOL. 283. ISSUE 3-4. P. 1049 -1070 13 76% 0
10 RATAJ, J , ZAHLE, M , (2015) LEGENDRIAN CYCLES AND CURVATURES.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 25. ISSUE 4. P. 2133 -2147 10 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 33278 Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS
2 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
3 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET
4 11703 SPATIAL POINT PROCESS//BOOLEAN MODEL//K FUNCTION
5 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
6 14256 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
7 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
8 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
9 24581 MINIMAL DISPLACEMENT//MORSE SARD THEOREM//C 1 SMOOTH FUNCTION
10 35452 PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION

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