Class information for:
Level 1: HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11113 1007 19.4 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
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
2047 2             NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE 5355
11113 1                   HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY 1007

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 HARMONIC MANIFOLDS authKW 256834 1% 71% 12
2 ASYMPTOTICALLY HARMONIC MANIFOLDS authKW 212251 1% 100% 7
3 BOUNDARY RIGIDITY authKW 194055 1% 80% 8
4 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 175838 12% 5% 118
5 RAY TRANSFORM authKW 174699 1% 52% 11
6 COHOMOLOGICAL EQUATIONS authKW 165081 1% 78% 7
7 GEODESIC RAY TRANSFORM authKW 151608 0% 100% 5
8 LENS RIGIDITY authKW 151608 0% 100% 5
9 ALBEDO OPERATOR authKW 121286 0% 100% 4
10 SMOOTH RIGIDITY authKW 121286 0% 100% 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 40855 86% 0% 863
2 Mathematics, Applied 7428 34% 0% 347
3 Physics, Mathematical 814 9% 0% 86
4 Multidisciplinary Sciences 82 2% 0% 18
5 Imaging Science & Photographic Technology 1 0% 0% 3
6 Computer Science, Software Engineering -0 0% 0% 4
7 Philosophy -1 0% 0% 1
8 Automation & Control Systems -1 0% 0% 2
9 Physics, Multidisciplinary -2 1% 0% 14
10 Computer Science, Artificial Intelligence -2 0% 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 DPTO MATEMAT CC 40427 0% 67% 2
2 MATH CNRS URA 169 40427 0% 67% 2
3 CNRS URA 169 MATH 30322 0% 100% 1
4 ESTN CENT SANTIAGO 30322 0% 100% 1
5 RISK MANAGEMENT ANALYT 30322 0% 100% 1
6 SEO 503 30322 0% 100% 1
7 UNITE MATH PU PLQUEES 30322 0% 100% 1
8 UNIV PR 4 30322 0% 100% 1
9 PURE MATH MATH STAT 23002 2% 3% 23
10 UMPA 15272 1% 4% 13

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 ERGODIC THEORY AND DYNAMICAL SYSTEMS 175838 12% 5% 118
2 JOURNAL OF MODERN DYNAMICS 97329 3% 12% 27
3 JOURNAL OF DIFFERENTIAL GEOMETRY 21691 3% 2% 35
4 GEOMETRIAE DEDICATA 17001 4% 1% 41
5 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 11740 4% 1% 36
6 GEOMETRIC AND FUNCTIONAL ANALYSIS 11545 2% 2% 20
7 INVERSE PROBLEMS AND IMAGING 10854 1% 3% 13
8 MATHEMATICAL RESEARCH LETTERS 9017 2% 1% 23
9 COMMENTARII MATHEMATICI HELVETICI 7706 2% 1% 18
10 INVENTIONES MATHEMATICAE 7025 3% 1% 27

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 HARMONIC MANIFOLDS 256834 1% 71% 12 Search HARMONIC+MANIFOLDS Search HARMONIC+MANIFOLDS
2 ASYMPTOTICALLY HARMONIC MANIFOLDS 212251 1% 100% 7 Search ASYMPTOTICALLY+HARMONIC+MANIFOLDS Search ASYMPTOTICALLY+HARMONIC+MANIFOLDS
3 BOUNDARY RIGIDITY 194055 1% 80% 8 Search BOUNDARY+RIGIDITY Search BOUNDARY+RIGIDITY
4 RAY TRANSFORM 174699 1% 52% 11 Search RAY+TRANSFORM Search RAY+TRANSFORM
5 COHOMOLOGICAL EQUATIONS 165081 1% 78% 7 Search COHOMOLOGICAL+EQUATIONS Search COHOMOLOGICAL+EQUATIONS
6 GEODESIC RAY TRANSFORM 151608 0% 100% 5 Search GEODESIC+RAY+TRANSFORM Search GEODESIC+RAY+TRANSFORM
7 LENS RIGIDITY 151608 0% 100% 5 Search LENS+RIGIDITY Search LENS+RIGIDITY
8 ALBEDO OPERATOR 121286 0% 100% 4 Search ALBEDO+OPERATOR Search ALBEDO+OPERATOR
9 SMOOTH RIGIDITY 121286 0% 100% 4 Search SMOOTH+RIGIDITY Search SMOOTH+RIGIDITY
10 A ANALYTIC MAPS 90965 0% 100% 3 Search A+ANALYTIC+MAPS Search A+ANALYTIC+MAPS

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 DE LA LLAVE, R , WINDSOR, A , (2010) LIVSIC THEOREMS FOR NON-COMMUTATIVE GROUPS INCLUDING DIFFEOMORPHISM GROUPS AND RESULTS ON THE EXISTENCE OF CONFORMAL STRUCTURES FOR ANOSOV SYSTEMS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 30. ISSUE . P. 1055-1100 35 95% 9
2 PATERNAIN, GP , SALO, M , UHLMANN, G , (2014) TENSOR TOMOGRAPHY: PROGRESS AND CHALLENGES.CHINESE ANNALS OF MATHEMATICS SERIES B. VOL. 35. ISSUE 3. P. 399-428 30 91% 4
3 STEFANOV, P , UHLMANN, G , VASY, A , (2016) BOUNDARY RIGIDITY WITH PARTIAL DATA.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 29. ISSUE 2. P. 299 -332 27 87% 1
4 GUILLARMOU, C , PATERNAIN, GP , SALO, M , UHLMANN, G , (2016) THE X-RAY TRANSFORM FOR CONNECTIONS IN NEGATIVE CURVATURE.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 343. ISSUE 1. P. 83 -127 20 91% 3
5 SADOVSKAYA, V , (2015) COHOMOLOGY OF FIBER BUNCHED COCYCLES OVER HYPERBOLIC SYSTEMS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 35. ISSUE . P. 2669 -2688 19 90% 0
6 PATERNAIN, GP , SALO, M , UHLMANN, G , (2014) SPECTRAL RIGIDITY AND INVARIANT DISTRIBUTIONS ON ANOSOV SURFACES.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 98. ISSUE 1. P. 147 -181 20 77% 5
7 SPATZIER, R , (2016) ON THE WORK OF RODRIGUEZ HERTZ ON RIGIDITY IN DYNAMICS.JOURNAL OF MODERN DYNAMICS. VOL. 10. ISSUE . P. 191 -207 24 59% 1
8 PATERNAIN, GP , SALO, M , UHLMANN, G , (2015) INVARIANT DISTRIBUTIONS, BEURLING TRANSFORMS AND TENSOR TOMOGRAPHY IN HIGHER DIMENSIONS.MATHEMATISCHE ANNALEN. VOL. 363. ISSUE 1-2. P. 305 -362 20 74% 2
9 AINSWORTH, G , (2015) THE MAGNETIC RAY TRANSFORM ON ANOSOV SURFACES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 5. P. 1801 -1816 18 82% 0
10 CROKE, CB , HERREROS, P , (2016) LENS RIGIDITY WITH TRAPPED GEODESICS IN TWO DIMENSIONS.ASIAN JOURNAL OF MATHEMATICS. VOL. 20. ISSUE 1. P. 47 -57 15 88% 1

Classes with closest relation at Level 1


Rank Class id link
1 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
2 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES
3 14490 WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION
4 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION
5 20979 SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE
6 8023 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
7 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
8 19740 ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL
9 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
10 35465 NUCLEAR GEOPHYSICAL TECHNOLOGIES//ASSOCIATED PARTICLE NEUTRONS//BOREHOLE TOMOGRAPHY

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