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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19236 515 24.7 46%


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
19236 1                   SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM 515

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 SIERPINSKI GASKET authKW 1081887 10% 36% 50
2 ANALYSIS ON FRACTALS authKW 1045884 4% 84% 21
3 DIRICHLET FORM authKW 585793 12% 16% 62
4 SPECTRAL DECIMATION authKW 423500 2% 71% 10
5 WEAK LAPLACIAN authKW 369422 2% 69% 9
6 ENERGY FORMS authKW 213442 1% 60% 6
7 FRACTAL GRAPHS authKW 211750 1% 71% 5
8 WALK DIMENSION authKW 211750 1% 71% 5
9 SIERPINSKI CARPET authKW 193316 3% 22% 15
10 DIFFUSIONS ON FRACTALS authKW 189729 1% 80% 4

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 13382 69% 0% 355
2 Mathematics, Applied 2070 26% 0% 133
3 Statistics & Probability 984 11% 0% 57
4 Physics, Mathematical 575 10% 0% 51
5 Mathematics, Interdisciplinary Applications 231 5% 0% 27
6 Physics, Multidisciplinary 17 4% 0% 23
7 Mechanics 1 2% 0% 8
8 Computer Science, Software Engineering 0 1% 0% 3
9 Automation & Control Systems -0 0% 0% 2
10 Computer Science, Interdisciplinary Applications -0 1% 0% 3

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 CNRSCMI 59291 0% 100% 1
2 DIPARTIMENTO ECONOMICOFINANZIARI METODI QUANTIT 59291 0% 100% 1
3 DIPARTIMENTO ET MOD MAT SCI PL 59291 0% 100% 1
4 DOMAINE VOLUCEAUPOEMSUMR 7231 59291 0% 100% 1
5 JACQUES LOUISS LIONS 59291 0% 100% 1
6 MATH INFORMAT CYBERSECUR 59291 0% 100% 1
7 PATRIMONIO ARCHITETTON URBANIST PAU 59291 0% 100% 1
8 PATRIMONIO ARCHITETTURA URBANIST 59291 0% 100% 1
9 THEOR INF MATH 59291 0% 100% 1
10 WYDZIAI FIZYKI TECH MATEMATYKI STOSOWANEJ 59291 0% 100% 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 POTENTIAL ANALYSIS 39990 5% 3% 26
2 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 10095 3% 1% 14
3 PROBABILITY THEORY AND RELATED FIELDS 8237 3% 1% 18
4 JOURNAL OF FUNCTIONAL ANALYSIS 7653 6% 0% 29
5 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 6947 2% 1% 10
6 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 5189 2% 1% 8
7 JOURNAL D ANALYSE MATHEMATIQUE 3216 2% 1% 8
8 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 2936 3% 0% 13
9 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2833 4% 0% 21
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2662 2% 1% 8

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 SIERPINSKI GASKET 1081887 10% 36% 50 Search SIERPINSKI+GASKET Search SIERPINSKI+GASKET
2 ANALYSIS ON FRACTALS 1045884 4% 84% 21 Search ANALYSIS+ON+FRACTALS Search ANALYSIS+ON+FRACTALS
3 DIRICHLET FORM 585793 12% 16% 62 Search DIRICHLET+FORM Search DIRICHLET+FORM
4 SPECTRAL DECIMATION 423500 2% 71% 10 Search SPECTRAL+DECIMATION Search SPECTRAL+DECIMATION
5 WEAK LAPLACIAN 369422 2% 69% 9 Search WEAK+LAPLACIAN Search WEAK+LAPLACIAN
6 ENERGY FORMS 213442 1% 60% 6 Search ENERGY+FORMS Search ENERGY+FORMS
7 FRACTAL GRAPHS 211750 1% 71% 5 Search FRACTAL+GRAPHS Search FRACTAL+GRAPHS
8 WALK DIMENSION 211750 1% 71% 5 Search WALK+DIMENSION Search WALK+DIMENSION
9 SIERPINSKI CARPET 193316 3% 22% 15 Search SIERPINSKI+CARPET Search SIERPINSKI+CARPET
10 DIFFUSIONS ON FRACTALS 189729 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 KELLEHER, D , GUPTA, N , MARGENOT, M , MARSH, J , OAKLEY, W , TEPLYAEV, A , (2015) GAPS IN THE SPECTRUM OF THE LAPLACIAN ON 3N-GASKETS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 6. P. 2509 -2533 45 82% 1
2 CHEN, JP , MOLCHANOV, S , TEPLYAEV, A , (2015) SPECTRAL DIMENSION AND BOHR'S FORMULA FOR SCHRODINGER OPERATORS ON UNBOUNDED FRACTAL SPACES.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 48. ISSUE 39. P. - 34 83% 0
3 HARE, KE , STEINHURST, BA , TEPLYAEV, A , ZHOU, DL , (2012) DISCONNECTED JULIA SETS AND GAPS IN THE SPECTRUM OF LAPLACIANS ON SYMMETRIC FINITELY RAMIFIED FRACTALS.MATHEMATICAL RESEARCH LETTERS. VOL. 19. ISSUE 3. P. 537-553 28 100% 2
4 STEINHURST, BA , TEPLYAEV, A , (2013) EXISTENCE OF A MEROMORPHIC EXTENSION OF SPECTRAL ZETA FUNCTIONS ON FRACTALS.LETTERS IN MATHEMATICAL PHYSICS. VOL. 103. ISSUE 12. P. 1377-1388 28 97% 3
5 ROGERS, LG , STRICHARTZ, RS , (2010) DISTRIBUTION THEORY ON PCF FRACTALS.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 112. ISSUE . P. 137-191 29 97% 5
6 DERFEL, G , GRABNER, PJ , VOGL, F , (2012) LAPLACE OPERATORS ON FRACTALS AND RELATED FUNCTIONAL EQUATIONS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 46. P. - 34 65% 13
7 HINZ, M , KELLEHER, DJ , TEPLYAEV, A , (2015) METRICS AND SPECTRAL TRIPLES FOR DIRICHLET AND RESISTANCE FORMS.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 9. ISSUE 2. P. 359 -390 33 60% 1
8 IONESCU, M , ROGERS, LG , STRICHARTZ, RS , (2013) PSEUDO-DIFFERENTIAL OPERATORS ON FRACTALS AND OTHER METRIC MEASURE SPACES.REVISTA MATEMATICA IBEROAMERICANA. VOL. 29. ISSUE 4. P. 1159-1190 24 83% 5
9 CAPITANELLI, R , VIVALDI, MA , (2016) DYNAMICAL QUASI-FILLING FRACTAL LAYERS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 48. ISSUE 6. P. 3931 -3961 26 72% 0
10 HINZ, M , TEPLYAEV, A , (2015) LOCAL DIRICHLET FORMS, HODGE THEORY, AND THE NAVIER-STOKES EQUATIONS ON TOPOLOGICALLY ONE-DIMENSIONAL FRACTALS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 2. P. 1347 -1380 26 72% 1

Classes with closest relation at Level 1


Rank Class id link
1 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING
2 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
3 6061 DIRICHLET FORM//LEVY SYSTEM//POTENTIAL ANALYSIS
4 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
5 8084 PHYS MODELISAT//DIAMOND TYPE HIERARCHICAL LATTICE//FRACTAL LATTICE
6 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
7 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
8 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
9 7281 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION
10 22713 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//CONCAVE OPERATOR

Go to start page