Class information for:
Level 1: BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17473 597 13.8 29%


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
842 2             MATHEMATICS//MAXIMAL OPERATOR//BMO 11754
17473 1                   BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE 597

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 BUNDLE CONVERGENCE authKW 306881 1% 100% 6
2 GELFAND NAIMARK SEGAL REPRESENTATION THEOREM authKW 255734 1% 100% 5
3 BANACH PRINCIPLE authKW 159830 1% 63% 5
4 BESICOVITCH WEIGHTS authKW 153440 1% 100% 3
5 CONTRACTION MAJORANT authKW 153440 1% 100% 3
6 DENJOY KOKSMAS INEQUALITY authKW 153440 1% 100% 3
7 FAITHFUL AND NORMAL STATE PHI authKW 153440 1% 100% 3
8 VON NEUMANNS ERGODIC THEOREM authKW 153440 1% 100% 3
9 SAMPLE BOUNDEDNESS authKW 142070 1% 56% 5
10 WIDE SENSE STATIONARY STOCHASTIC PROCESS authKW 115079 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 25233 87% 0% 522
2 Mathematics, Applied 1117 18% 0% 108
3 Statistics & Probability 930 10% 0% 60
4 Multidisciplinary Sciences 3 1% 0% 4
5 Logic 2 0% 0% 1
6 Philosophy 2 1% 0% 3
7 Physics, Mathematical 1 1% 0% 6
8 Ethics 0 0% 0% 1
9 History & Philosophy of Science 0 0% 0% 1
10 Acoustics -1 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 EQUIPE ERIM 102290 1% 50% 4
2 MATH IRMA 102286 1% 33% 6
3 PROBABIL EA 2032 51147 0% 100% 1
4 SLOAN 253 37 51147 0% 100% 1
5 YU FEDKOVICH CHERNOVTSY STATE UNIV 51147 0% 100% 1
6 MATH CIS 46028 1% 30% 3
7 UP A 6119 34095 0% 33% 2
8 CORE MATH SOCIAL SCI 25572 0% 50% 1
9 EA 2032 25572 0% 50% 1
10 UMR IRMAR 6625 25572 0% 50% 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 ERGODIC THEORY AND DYNAMICAL SYSTEMS 23162 6% 1% 33
2 STUDIA MATHEMATICA 17879 5% 1% 32
3 ILLINOIS JOURNAL OF MATHEMATICS 10085 3% 1% 19
4 JOURNAL D ANALYSE MATHEMATIQUE 9773 3% 1% 15
5 ISRAEL JOURNAL OF MATHEMATICS 8495 4% 1% 25
6 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 8156 2% 1% 14
7 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 6413 3% 1% 17
8 INDAGATIONES MATHEMATICAE-NEW SERIES 6119 2% 1% 12
9 LECTURE NOTES IN MATHEMATICS 4803 4% 0% 26
10 MATHEMATICA SCANDINAVICA 4460 2% 1% 11

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 BUNDLE CONVERGENCE 306881 1% 100% 6 Search BUNDLE+CONVERGENCE Search BUNDLE+CONVERGENCE
2 GELFAND NAIMARK SEGAL REPRESENTATION THEOREM 255734 1% 100% 5 Search GELFAND+NAIMARK+SEGAL+REPRESENTATION+THEOREM Search GELFAND+NAIMARK+SEGAL+REPRESENTATION+THEOREM
3 BANACH PRINCIPLE 159830 1% 63% 5 Search BANACH+PRINCIPLE Search BANACH+PRINCIPLE
4 BESICOVITCH WEIGHTS 153440 1% 100% 3 Search BESICOVITCH+WEIGHTS Search BESICOVITCH+WEIGHTS
5 CONTRACTION MAJORANT 153440 1% 100% 3 Search CONTRACTION+MAJORANT Search CONTRACTION+MAJORANT
6 DENJOY KOKSMAS INEQUALITY 153440 1% 100% 3 Search DENJOY+KOKSMAS+INEQUALITY Search DENJOY+KOKSMAS+INEQUALITY
7 FAITHFUL AND NORMAL STATE PHI 153440 1% 100% 3 Search FAITHFUL+AND+NORMAL+STATE+PHI Search FAITHFUL+AND+NORMAL+STATE+PHI
8 VON NEUMANNS ERGODIC THEOREM 153440 1% 100% 3 Search VON+NEUMANNS+ERGODIC+THEOREM Search VON+NEUMANNS+ERGODIC+THEOREM
9 SAMPLE BOUNDEDNESS 142070 1% 56% 5 Search SAMPLE+BOUNDEDNESS Search SAMPLE+BOUNDEDNESS
10 WIDE SENSE STATIONARY STOCHASTIC PROCESS 115079 1% 75% 3 Search WIDE+SENSE+STATIONARY+STOCHASTIC+PROCESS Search WIDE+SENSE+STATIONARY+STOCHASTIC+PROCESS

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 MIREK, M , TROJAN, B , (2016) DISCRETE MAXIMAL FUNCTIONS IN HIGHER DIMENSIONS AND APPLICATIONS TO ERGODIC THEORY.AMERICAN JOURNAL OF MATHEMATICS. VOL. 138. ISSUE 6. P. 1495 -1532 24 75% 0
2 MIREK, M , TROJAN, B , (2015) COTLAR'S ERGODIC THEOREM ALONG THE PRIME NUMBERS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 21. ISSUE 4. P. 822 -848 13 93% 0
3 MIREK, M , (2015) L(P) (Z)-BOUNDEDNESS OF DISCRETE MAXIMAL FUNCTIONS ALONG THIN SUBSETS OF PRIMES AND POINTWISE ERGODIC THEOREMS.MATHEMATISCHE ZEITSCHRIFT. VOL. 279. ISSUE 1-2. P. 27 -59 16 73% 0
4 COHEN, G , CUNY, C , (2006) ON RANDOM ALMOST PERIODIC SERIES AND RANDOM ERGODIC THEORY.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 26. ISSUE . P. 683-709 15 94% 0
5 DURAND, S , SCHNEIDER, D , (2003) RANDOM ERGODIC THEOREMS AND REGULARIZING RANDOM WEIGHTS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 23. ISSUE . P. 1059-1092 13 100% 2
6 KARAGULYAN, GA , SAFARYAN, MH , (2015) ON GENERALIZATIONS OF FATOU'S THEOREM FOR THE INTEGRALS WITH GENERAL KERNELS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 25. ISSUE 3. P. 1459 -1475 11 85% 0
7 DEMETER, C , (2004) THE BEST CONSTANTS ASSOCIATED WITH SOME WEAK MAXIMAL INEQUALITIES IN ERGODIC THEORY.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 56. ISSUE 3. P. 449-471 13 93% 2
8 COHEN, G , LIN, M , (2003) LAWS OF LARGE NUMBERS WITH RATES AND THE ONE-SIDED ERGODIC HILBERT TRANSFORM.ILLINOIS JOURNAL OF MATHEMATICS. VOL. 47. ISSUE 4. P. 997 -1031 15 75% 9
9 SEDALISHCHEV, VV , (2014) INTERRELATION BETWEEN THE CONVERGENCE RATES IN VON NEUMANN'S AND BIRKHOFF'S ERGODIC THEOREMS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 55. ISSUE 2. P. 336-348 8 100% 0
10 HANCL, J , JASSOVA, A , LERTCHOOSAKUL, P , NAIR, R , (2013) ON THE METRIC THEORY OF P-ADIC CONTINUED FRACTIONS.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 24. ISSUE 1. P. 42 -56 8 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
2 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
3 37197 DIVERGENCE SETS//LACUNARY SEQUENCE OF PARTIAL SUMS//MATH ANAL GEOMETRY
4 9779 SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS
5 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
6 26311 GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET
7 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
8 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
9 33651 NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS
10 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES

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