Class information for:
Level 1: SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20979 438 18.3 35%


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
20979 1                   SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE 438

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 SYSTOLIC INEQUALITY authKW 418287 1% 100% 6
2 HERMITE CONSTANT authKW 379554 2% 78% 7
3 SYSTOLE authKW 358765 8% 15% 35
4 MACROSCOPIC DIMENSION authKW 290475 1% 83% 5
5 EXTREME DENSITY authKW 209143 1% 100% 3
6 SYSTOLIC RATIO authKW 209143 1% 100% 3
7 VORONOI TYPE RESULT authKW 209143 1% 100% 3
8 METRIC CURRENTS authKW 159344 1% 57% 4
9 PERFECT LATTICE authKW 159344 1% 57% 4
10 ESSENTIAL MANIFOLD authKW 156856 1% 75% 3

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 20749 92% 0% 405
2 Mathematics, Applied 815 18% 0% 79
3 COMPUTER APPLICATIONS & CYBERNETICS 234 1% 0% 3
4 Physics, Mathematical 1 1% 0% 5
5 Philosophy 1 0% 0% 2
6 Multidisciplinary Sciences 0 0% 0% 2
7 Computer Science, Theory & Methods -0 1% 0% 3
8 Computer Science, Software Engineering -0 0% 0% 2
9 Computer Science, Interdisciplinary Applications -0 0% 0% 2
10 Crystallography -0 0% 0% 2

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 UMR 6083FED RECH DENIS POISSON FR 2964 92951 0% 67% 2
2 DIPARTIMENTO MATEMAT G CASTEINUOVO 69714 0% 100% 1
3 FOR GRP KONVEXE DISKRETE GEOMETRIE 69714 0% 100% 1
4 MATH PHYS THEORFEDERAT RECH DENNIS POISSON 69714 0% 100% 1
5 MATHMAT PHYS THEOR 69714 0% 100% 1
6 SIGAT 69714 0% 100% 1
7 VA STEKLOV MATH ST PETERSBURG BRANCH 69714 0% 100% 1
8 UMR 5467 64441 2% 13% 7
9 ORATOIRE PAUL PAINLEVE 34856 0% 50% 1
10 ANAL MATH PLCNRSUMR 8050 23237 0% 33% 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 JOURNAL OF TOPOLOGY AND ANALYSIS 45576 3% 6% 11
2 GEOMETRIC AND FUNCTIONAL ANALYSIS 41567 6% 2% 25
3 JOURNAL OF DIFFERENTIAL GEOMETRY 10423 4% 1% 16
4 GEOMETRIAE DEDICATA 10261 5% 1% 21
5 ALGEBRAIC AND GEOMETRIC TOPOLOGY 8484 3% 1% 12
6 ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY 4642 1% 2% 3
7 COMMENTARII MATHEMATICI HELVETICI 4432 2% 1% 9
8 JOURNAL OF GEOMETRIC ANALYSIS 2761 1% 1% 6
9 ST PETERSBURG MATHEMATICAL JOURNAL 2654 1% 1% 4
10 ASTERISQUE 2238 2% 0% 7

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 SYSTOLIC INEQUALITY 418287 1% 100% 6 Search SYSTOLIC+INEQUALITY Search SYSTOLIC+INEQUALITY
2 HERMITE CONSTANT 379554 2% 78% 7 Search HERMITE+CONSTANT Search HERMITE+CONSTANT
3 SYSTOLE 358765 8% 15% 35 Search SYSTOLE Search SYSTOLE
4 MACROSCOPIC DIMENSION 290475 1% 83% 5 Search MACROSCOPIC+DIMENSION Search MACROSCOPIC+DIMENSION
5 EXTREME DENSITY 209143 1% 100% 3 Search EXTREME+DENSITY Search EXTREME+DENSITY
6 SYSTOLIC RATIO 209143 1% 100% 3 Search SYSTOLIC+RATIO Search SYSTOLIC+RATIO
7 VORONOI TYPE RESULT 209143 1% 100% 3 Search VORONOI+TYPE+RESULT Search VORONOI+TYPE+RESULT
8 METRIC CURRENTS 159344 1% 57% 4 Search METRIC+CURRENTS Search METRIC+CURRENTS
9 PERFECT LATTICE 159344 1% 57% 4 Search PERFECT+LATTICE Search PERFECT+LATTICE
10 ESSENTIAL MANIFOLD 156856 1% 75% 3 Search ESSENTIAL+MANIFOLD Search ESSENTIAL+MANIFOLD

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 DRANISHNIKOV, AN , KATZ, MG , RUDYAK, YB , (2011) COHOMOLOGICAL DIMENSION, SELF-LINKING, AND SYSTOLIC GEOMETRY.ISRAEL JOURNAL OF MATHEMATICS. VOL. 184. ISSUE 1. P. 437 -453 28 88% 0
2 KATZ, MG , SABOURAU, S , (2012) HYPERELLIPTICITY AND SYSTOLES OF KLEIN SURFACES.GEOMETRIAE DEDICATA. VOL. 159. ISSUE 1. P. 277-293 23 92% 0
3 KATZ, MG , SCHAPS, M , VISHNE, U , (2011) HURWITZ QUATERNION ORDER AND ARITHMETIC RIEMANN SURFACES.GEOMETRIAE DEDICATA. VOL. 155. ISSUE 1. P. 151-161 20 100% 0
4 KATZ, KU , KATZ, MG , SABOURAU, S , SHNIDER, S , WEINBERGER, S , (2011) RELATIVE SYSTOLES OF RELATIVE-ESSENTIAL 2-COMPLEXES.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 11. ISSUE 1. P. 197 -217 20 100% 0
5 AMBROSIO, L , KATZ, MG , (2011) FLAT CURRENTS MODULO P IN METRIC SPACES AND FILLING RADIUS INEQUALITIES.COMMENTARII MATHEMATICI HELVETICI. VOL. 86. ISSUE 3. P. 557 -591 24 77% 3
6 KATZ, MG , RUDYAK, YB , (2008) BOUNDING VOLUME BY SYSTOLES OF 3-MANIFOLDS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 78. ISSUE . P. 407-417 21 78% 1
7 SABOURAU, S , (2008) ASYMPTOTIC BOUNDS FOR SEPARATING SYSTOLES ON SURFACES.COMMENTARII MATHEMATICI HELVETICI. VOL. 83. ISSUE 1. P. 35-54 17 89% 9
8 BALACHEFF, F , PARLIER, H , SABOURAU, S , (2012) SHORT LOOP DECOMPOSITIONS OF SURFACES AND THE GEOMETRY OF JACOBIANS.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 22. ISSUE 1. P. 37-73 15 88% 4
9 GRUBER, PM , (2012) APPLICATION OF AN IDEA OF VORONOA TO LATTICE ZETA FUNCTIONS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 276. ISSUE 1. P. 103 -124 15 88% 2
10 NABUTOVSKY, A , ROTMAN, R , (2013) LENGTH OF GEODESICS AND QUANTITATIVE MORSE THEORY ON LOOP SPACES.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 23. ISSUE 1. P. 367-414 13 93% 0

Classes with closest relation at Level 1


Rank Class id link
1 33278 Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS
2 28629 MATH INVEST CRYSTALLOG MINERAL PETROG//PLATINUM GRP ELEMENTS ORE GENESIS//PRODUCT OF LINEAR FORMS
3 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
4 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY
5 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
6 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
7 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
8 28736 FORM SPACES//POLYGONAL FORMS//TRADITIONAL FIELDS
9 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
10 12789 MATEMAT FUNDAMENTALES//KLEIN SURFACES//RIEMANN SURFACE

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