Class information for:
Level 1: DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
6534 1473 19.9 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
2042 2             SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS 5373
6534 1                   DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC 1473

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 DOUBLING MEASURE authKW 645596 4% 54% 58
2 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA journal 507310 11% 15% 163
3 QUASIHYPERBOLIC METRIC authKW 332268 2% 70% 23
4 UNIFORM DOMAIN authKW 318889 1% 77% 20
5 POINCARE INEQUALITY authKW 313446 4% 25% 61
6 NEWTONIAN SPACE authKW 290197 1% 100% 14
7 JOHN DOMAINS authKW 285086 2% 51% 27
8 METRIC MEASURE SPACE authKW 274866 3% 32% 42
9 P HARMONIC authKW 271132 1% 59% 22
10 QUASIHYPERBOLIC GEODESIC authKW 207284 1% 100% 10

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 76949 97% 0% 1429
2 Mathematics, Applied 3959 21% 0% 315
3 Multidisciplinary Sciences 29 1% 0% 15
4 Ethics -0 0% 0% 1
5 History & Philosophy of Science -0 0% 0% 1
6 Social Sciences, Biomedical -1 0% 0% 1
7 Mathematics, Interdisciplinary Applications -2 0% 0% 4
8 Physics, Mathematical -3 0% 0% 5
9 Automation & Control Systems -4 0% 0% 1
10 Statistics & Probability -7 0% 0% 1

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 MATEMAT TILASTOTIETEEN LAITOS 27636 0% 67% 2
2 LATP CMI 23684 0% 29% 4
3 MATEMAT LAITOS 23316 0% 38% 3
4 MATH SYST ANAL 21287 1% 6% 17
5 ARITHMET GEOMETRIE ANALYSE 20728 0% 100% 1
6 E DE GIORGI 20728 0% 100% 1
7 FT GEORGE G MEADE 20728 0% 100% 1
8 HELSINGIN YLIOPISTO 20728 0% 100% 1
9 I INVEST MATEMAT LUIS A SANTALO 20728 0% 100% 1
10 MATEMAT JA TILASTOTIETEEN LAITOS 20728 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 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 507310 11% 15% 163
2 REVISTA MATEMATICA IBEROAMERICANA 41574 3% 5% 39
3 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 29178 1% 14% 10
4 JOURNAL D ANALYSE MATHEMATIQUE 26780 3% 3% 39
5 SIBERIAN MATHEMATICAL JOURNAL 24666 4% 2% 60
6 ARKIV FOR MATEMATIK 14479 2% 3% 23
7 INDIANA UNIVERSITY MATHEMATICS JOURNAL 13193 3% 2% 39
8 POTENTIAL ANALYSIS 12894 2% 2% 25
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 12770 7% 1% 102
10 MICHIGAN MATHEMATICAL JOURNAL 11168 2% 2% 28

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 DOUBLING MEASURE 645596 4% 54% 58 Search DOUBLING+MEASURE Search DOUBLING+MEASURE
2 QUASIHYPERBOLIC METRIC 332268 2% 70% 23 Search QUASIHYPERBOLIC+METRIC Search QUASIHYPERBOLIC+METRIC
3 UNIFORM DOMAIN 318889 1% 77% 20 Search UNIFORM+DOMAIN Search UNIFORM+DOMAIN
4 POINCARE INEQUALITY 313446 4% 25% 61 Search POINCARE+INEQUALITY Search POINCARE+INEQUALITY
5 NEWTONIAN SPACE 290197 1% 100% 14 Search NEWTONIAN+SPACE Search NEWTONIAN+SPACE
6 JOHN DOMAINS 285086 2% 51% 27 Search JOHN+DOMAINS Search JOHN+DOMAINS
7 METRIC MEASURE SPACE 274866 3% 32% 42 Search METRIC+MEASURE+SPACE Search METRIC+MEASURE+SPACE
8 P HARMONIC 271132 1% 59% 22 Search P+HARMONIC Search P+HARMONIC
9 QUASIHYPERBOLIC GEODESIC 207284 1% 100% 10 Search QUASIHYPERBOLIC+GEODESIC Search QUASIHYPERBOLIC+GEODESIC
10 QUASICONFORMAL MAPPING 195736 3% 21% 46 Search QUASICONFORMAL+MAPPING Search QUASICONFORMAL+MAPPING

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 BJORN, A , BJORN, J , (2014) THE VARIATIONAL CAPACITY WITH RESPECT TO NONOPEN SETS IN METRIC SPACES.POTENTIAL ANALYSIS. VOL. 40. ISSUE 1. P. 57 -80 32 97% 0
2 BJORN, A , BJORN, J , LATVALA, V , (2015) THE WEAK CARTAN PROPERTY FOR THE P-FINE TOPOLOGY ON METRIC SPACES.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 64. ISSUE 3. P. 915 -941 31 94% 0
3 HEINONEN, J , (2007) NONSMOOTH CALCULUS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 44. ISSUE 2. P. 163-232 51 58% 47
4 BJORN, A , BJORN, J , PARVIAINEN, M , (2010) LEBESGUE POINTS AND THE FUNDAMENTAL CONVERGENCE THEOREM FOR SUPERHARMONIC FUNCTIONS ON METRIC SPACES.REVISTA MATEMATICA IBEROAMERICANA. VOL. 26. ISSUE 1. P. 147-174 31 91% 5
5 ZHOU, Y , (2011) HAJLASZ-SOBOLEV IMBEDDING AND EXTENSION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 382. ISSUE 2. P. 577 -593 24 96% 1
6 HANSEVI, D , (2015) THE OBSTACLE AND DIRICHLET PROBLEMS ASSOCIATED WITH P-HARMONIC FUNCTIONS IN UNBOUNDED SETS IN R-N AND METRIC SPACES.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 40. ISSUE 1. P. 89 -108 21 100% 0
7 BJORN, A , BJORN, J , SHANMUGALINGAM, N , (2015) THE DIRICHLET PROBLEM FOR P-HARMONIC FUNCTIONS WITH RESPECT TO THE MAZURKIEWICZ BOUNDARY, AND NEW CAPACITIES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 7. P. 3078 -3114 24 86% 0
8 BISHOP, CJ , HAKOBYAN, H , WILLIAMS, M , (2016) QUASISYMMETRIC DIMENSION DISTORTION OF AHLFORS REGULAR SUBSETS OF A METRIC SPACE.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 26. ISSUE 2. P. 379 -421 21 95% 0
9 BJORN, A , BJORN, J , MAKALAINEN, T , PARVIAINEN, M , (2009) NONLINEAR BALAYAGE ON METRIC SPACES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 71. ISSUE 5-6. P. 2153-2171 25 93% 2
10 BJORN, A , BJORN, J , (2015) OBSTACLE AND DIRICHLET PROBLEMS ON ARBITRARY NONOPEN SETS IN METRIC SPACES, AND FINE TOPOLOGY.REVISTA MATEMATICA IBEROAMERICANA. VOL. 31. ISSUE 1. P. 161 -214 21 95% 0

Classes with closest relation at Level 1



Rank Class id link
1 10255 MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION
2 5583 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP
3 34111 END SPACE//DISTANCE TO THE INTERSECTION//PQ SYMMETRIC
4 24807 FINELY SUPERHARMONIC FUNCTION//PWB SOLUTION//HOMOGENEOUS RANDOM MEASURE
5 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
6 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS
7 16741 SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS
8 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
9 29291 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY
10 17783 TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE

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