Class information for:
Level 1: PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10040 1097 23.2 40%


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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
10040 1                   PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS 1097

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 PROPERTY T authKW 368908 2% 51% 26
2 DEFORMATION RIGIDITY THEORY authKW 361839 1% 100% 13
3 GRAPH GROUPOIDS authKW 303072 1% 78% 14
4 UMPA UMR 5669 address 287120 1% 74% 14
5 II1 FACTORS authKW 286605 2% 47% 22
6 VON NEUMANN ALGEBRA authKW 269747 6% 14% 67
7 SOFIC GROUPS authKW 263892 1% 59% 16
8 ORBIT EQUIVALENCE authKW 251180 2% 48% 19
9 L 2 TORSION authKW 225452 1% 90% 9
10 RELATIVE PROPERTY T authKW 222670 1% 100% 8

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 57611 97% 0% 1067
2 Mathematics, Applied 2111 18% 0% 201
3 Logic 80 1% 0% 7
4 Physics, Mathematical 23 2% 0% 22
5 Statistics & Probability 1 1% 0% 9
6 Computer Science, Software Engineering -4 0% 0% 1
7 Computer Science, Theory & Methods -6 0% 0% 1
8 Physics, Multidisciplinary -17 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 UMPA UMR 5669 287120 1% 74% 14
2 UNITE MIXTE RECH 5669 83501 0% 100% 3
3 SB MATHGEOM EGG 41748 0% 50% 3
4 AG TOPOL 27834 0% 100% 1
5 CSICUC3MUCM 27834 0% 100% 1
6 GEOMETR ALGEBRE TOPOL 27834 0% 100% 1
7 LAT MATH 27834 0% 100% 1
8 MATH ALGEB OPERATEURS REP ENTAT 27834 0% 100% 1
9 NAT WISSEN AFTLICH TECH FAK 1 27834 0% 100% 1
10 PROBABILITESMODELISATORLEANS M MO 27834 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 GROUPS GEOMETRY AND DYNAMICS 122097 3% 12% 38
2 JOURNAL OF FUNCTIONAL ANALYSIS 35462 8% 1% 91
3 ERGODIC THEORY AND DYNAMICAL SYSTEMS 23416 4% 2% 45
4 JOURNAL OF TOPOLOGY AND ANALYSIS 18184 1% 6% 11
5 GEOMETRIC AND FUNCTIONAL ANALYSIS 10595 2% 2% 20
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 9774 7% 0% 77
7 INVENTIONES MATHEMATICAE 7962 3% 1% 30
8 JOURNAL OF OPERATOR THEORY 7831 2% 1% 19
9 COMPLEX ANALYSIS AND OPERATOR THEORY 6536 1% 2% 12
10 MATHEMATISCHE ANNALEN 6028 3% 1% 32

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 PROPERTY T 368908 2% 51% 26 Search PROPERTY+T Search PROPERTY+T
2 DEFORMATION RIGIDITY THEORY 361839 1% 100% 13 Search DEFORMATION+RIGIDITY+THEORY Search DEFORMATION+RIGIDITY+THEORY
3 GRAPH GROUPOIDS 303072 1% 78% 14 Search GRAPH+GROUPOIDS Search GRAPH+GROUPOIDS
4 II1 FACTORS 286605 2% 47% 22 Search II1+FACTORS Search II1+FACTORS
5 VON NEUMANN ALGEBRA 269747 6% 14% 67 Search VON+NEUMANN+ALGEBRA Search VON+NEUMANN+ALGEBRA
6 SOFIC GROUPS 263892 1% 59% 16 Search SOFIC+GROUPS Search SOFIC+GROUPS
7 ORBIT EQUIVALENCE 251180 2% 48% 19 Search ORBIT+EQUIVALENCE Search ORBIT+EQUIVALENCE
8 L 2 TORSION 225452 1% 90% 9 Search L+2+TORSION Search L+2+TORSION
9 RELATIVE PROPERTY T 222670 1% 100% 8 Search RELATIVE+PROPERTY+T Search RELATIVE+PROPERTY+T
10 L 2 BETTI NUMBERS 173953 1% 63% 10 Search L+2+BETTI+NUMBERS Search L+2+BETTI+NUMBERS

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 POPA, S , VAES, S , (2014) UNIQUE CARTAN DECOMPOSITION FOR II1 FACTORS ARISING FROM ARBITRARY ACTIONS OF FREE GROUPS.ACTA MATHEMATICA. VOL. 212. ISSUE 1. P. 141-198 36 97% 12
2 RAUM, S , (2014) ON THE CLASSIFICATION OF FREE BOGOLJUBOV CROSSED PRODUCT VON NEUMANN ALGEBRAS BY THE INTEGERS.GROUPS GEOMETRY AND DYNAMICS. VOL. 8. ISSUE 4. P. 1207 -1245 37 93% 0
3 CHIFAN, I , KIDA, Y , PANT, S , (2016) PRIMENESS RESULTS FOR VON NEUMANN ALGEBRAS ASSOCIATED WITH SURFACE BRAID GROUPS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 16. P. 4807 -4848 45 70% 0
4 POPA, S , VAES, S , (2010) GROUP MEASURE SPACE DECOMPOSITION OF II1 FACTORS AND W*-SUPERRIGIDITY.INVENTIONES MATHEMATICAE. VOL. 182. ISSUE 2. P. 371-417 34 97% 15
5 CHIFAN, I , SINCLAIR, T , UDREA, B , (2013) ON THE STRUCTURAL THEORY OF II1 FACTORS OF NEGATIVELY CURVED GROUPS, II: ACTIONS BY PRODUCT GROUPS.ADVANCES IN MATHEMATICS. VOL. 245. ISSUE . P. 208-236 35 88% 7
6 HOUDAYER, C , UEDA, Y , (2016) RIGIDITY OF FREE PRODUCT VON NEUMANN ALGEBRAS.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 12. P. 2461 -2492 33 85% 0
7 HOUDAYER, C , RICARD, E , (2011) APPROXIMATION PROPERTIES AND ABSENCE OF CARTAN SUBALGEBRA FOR FREE ARAKI-WOODS FACTORS.ADVANCES IN MATHEMATICS. VOL. 228. ISSUE 2. P. 764 -802 35 83% 13
8 HOUDAYER, C , (2014) STRUCTURE OF II1 FACTORS ARISING FROM FREE BOGOLJUBOV ACTIONS OF ARBITRARY GROUPS.ADVANCES IN MATHEMATICS. VOL. 260. ISSUE . P. 414-457 31 86% 5
9 HOFF, DJ , (2016) VON NEUMANN ALGEBRAS OF EQUIVALENCE RELATIONS WITH NONTRIVIAL ONE-COHOMOLOGY.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 270. ISSUE 4. P. 1501 -1536 25 96% 1
10 IOANA, A , POPA, S , VAES, S , (2013) A CLASS OF SUPERRIGID GROUP VON NEUMANN ALGEBRAS.ANNALS OF MATHEMATICS. VOL. 178. ISSUE 1. P. 231-286 28 90% 10

Classes with closest relation at Level 1


Rank Class id link
1 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
2 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
3 20101 BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC
4 14362 OPERATOR SPACE//OPERATOR SYSTEM//BIMEASURES
5 18288 SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS
6 15272 KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP
7 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION
8 7505 SUBFACTORS//PLANAR ALGEBRAS//ALGEBRAIC QUANTUM FIELD THEORY
9 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
10 12689 ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION

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