Class information for:
Level 1: HYPERGROUPS//POLYNOMIAL HYPERGROUPS//ISOTROPIC RANDOM WALKS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25823 271 16.5 25%


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
4023 2             SUBNORMS//HYPERGROUPS//CONVENIENT SETTING 663
25823 1                   HYPERGROUPS//POLYNOMIAL HYPERGROUPS//ISOTROPIC RANDOM WALKS 271

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 HYPERGROUPS authKW 887300 8% 38% 21
2 POLYNOMIAL HYPERGROUPS authKW 507040 2% 75% 6
3 ISOTROPIC RANDOM WALKS authKW 338029 1% 100% 3
4 LAMPERTI PROBLEM authKW 338029 1% 100% 3
5 LAMPERTIS PROBLEM authKW 338029 1% 100% 3
6 NONNEGATIVE LINEARIZATION authKW 338029 1% 100% 3
7 ALPHA AMENABLE HYPERGROUPS authKW 225353 1% 100% 2
8 ASYMPTOTICALLY ZERO DRIFT authKW 225353 1% 100% 2
9 CLASSIFICATION OF HYPERGROUPS authKW 225353 1% 100% 2
10 GENERALIZED LAPLACIANS authKW 225353 1% 100% 2

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 7529 71% 0% 193
2 Statistics & Probability 1442 18% 0% 49
3 Mathematics, Applied 651 20% 0% 55
4 Physics, Mathematical 40 4% 0% 11
5 Multidisciplinary Sciences 2 1% 0% 2
6 Computer Science, Theory & Methods 1 1% 0% 3
7 Mathematical & Computational Biology 0 0% 0% 1
8 Mathematics, Interdisciplinary Applications -0 0% 0% 1
9 Physics, Fluids & Plasmas -0 0% 0% 1
10 Mechanics -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 BIOMATH BIOMETRY 157003 7% 7% 20
2 HELMOLTH ZENTRUM MUNCHEN 112676 0% 100% 1
3 M MO 1803 112676 0% 100% 1
4 CHAIR MATH MODELLING 90139 1% 40% 2
5 FR2964 37557 0% 33% 1
6 CHAIR MATH MODELING BIOL SYST 32190 1% 14% 2
7 STAT WAHR EINLICHKEITSTHEORIE 16091 1% 5% 3
8 UMR 7349 14081 1% 6% 2
9 MATH K 108 12518 0% 11% 1
10 STOCHAST PROC 11266 0% 10% 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 THEORETICAL PROBABILITY 7946 3% 1% 9
2 MONATSHEFTE FUR MATHEMATIK 7159 4% 1% 12
3 LECTURE NOTES IN MATHEMATICS 4538 6% 0% 17
4 CONSTRUCTIVE APPROXIMATION 4069 2% 1% 6
5 ANNALS OF FUNCTIONAL ANALYSIS 3682 1% 1% 3
6 MATHEMATISCHE ZEITSCHRIFT 3205 4% 0% 12
7 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 2301 2% 0% 5
8 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2286 1% 1% 4
9 ARCHIV DER MATHEMATIK 1803 3% 0% 9
10 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 1618 3% 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 HYPERGROUPS 887300 8% 38% 21 Search HYPERGROUPS Search HYPERGROUPS
2 POLYNOMIAL HYPERGROUPS 507040 2% 75% 6 Search POLYNOMIAL+HYPERGROUPS Search POLYNOMIAL+HYPERGROUPS
3 ISOTROPIC RANDOM WALKS 338029 1% 100% 3 Search ISOTROPIC+RANDOM+WALKS Search ISOTROPIC+RANDOM+WALKS
4 LAMPERTI PROBLEM 338029 1% 100% 3 Search LAMPERTI+PROBLEM Search LAMPERTI+PROBLEM
5 LAMPERTIS PROBLEM 338029 1% 100% 3 Search LAMPERTIS+PROBLEM Search LAMPERTIS+PROBLEM
6 NONNEGATIVE LINEARIZATION 338029 1% 100% 3 Search NONNEGATIVE+LINEARIZATION Search NONNEGATIVE+LINEARIZATION
7 ALPHA AMENABLE HYPERGROUPS 225353 1% 100% 2 Search ALPHA+AMENABLE+HYPERGROUPS Search ALPHA+AMENABLE+HYPERGROUPS
8 ASYMPTOTICALLY ZERO DRIFT 225353 1% 100% 2 Search ASYMPTOTICALLY+ZERO+DRIFT Search ASYMPTOTICALLY+ZERO+DRIFT
9 CLASSIFICATION OF HYPERGROUPS 225353 1% 100% 2 Search CLASSIFICATION+OF+HYPERGROUPS Search CLASSIFICATION+OF+HYPERGROUPS
10 GENERALIZED LAPLACIANS 225353 1% 100% 2 Search GENERALIZED+LAPLACIANS Search GENERALIZED+LAPLACIANS

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 AZIMIFARD, A , (2010) ALPHA-AMENABLE HYPERGROUPS.MATHEMATISCHE ZEITSCHRIFT. VOL. 265. ISSUE 4. P. 971 -982 12 100% 2
2 HRYNIV, O , MENSHIKOV, MV , WADE, AR , (2013) EXCURSIONS AND PATH FUNCTIONALS FOR STOCHASTIC PROCESSES WITH ASYMPTOTICALLY ZERO DRIFTS.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 123. ISSUE 6. P. 1891-1921 12 67% 1
3 HERMANN, P , VOIT, M , (1995) INDUCED REPRESENTATIONS AND DUALITY RESULTS FOR COMMUTATIVE HYPERGROUPS.FORUM MATHEMATICUM. VOL. 7. ISSUE 5. P. 543 -558 13 100% 3
4 VOIT, M , (1998) PROPERTIES OF SUBHYPERGROUPS.SEMIGROUP FORUM. VOL. 56. ISSUE 3. P. 373 -391 12 92% 4
5 VOIT, M , (1992) DUALS OF SUBHYPERGROUPS AND QUOTIENTS OF COMMUTATIVE HYPERGROUPS.MATHEMATISCHE ZEITSCHRIFT. VOL. 210. ISSUE 2. P. 289 -304 12 100% 7
6 ZEUNER, H , (1992) MOMENT FUNCTIONS AND LAWS OF LARGE NUMBERS ON HYPERGROUPS.MATHEMATISCHE ZEITSCHRIFT. VOL. 211. ISSUE 3. P. 369-407 12 92% 16
7 ZEUNER, H , (1997) LINDEBERG TYPE CENTRAL LIMIT THEOREMS ON ONE DIMENSIONAL HYPERGROUPS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 51. ISSUE 1-2. P. 49-66 9 100% 0
8 VOIT, M , (1996) COMPACT ALMOST DISCRETE HYPERGROUPS.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 48. ISSUE 1. P. 210 -224 9 100% 1
9 LASSER, R , (2009) POINT DERIVATIONS ON THE L-1-ALGEBRA OF POLYNOMIAL HYPERGROUPS.COLLOQUIUM MATHEMATICUM. VOL. 116. ISSUE 1. P. 15 -30 9 64% 3
10 AMINI, M , HEYDARI, A , TOOMANIAN, M , (2013) LIE HYPERGROUPS.JOURNAL OF LIE THEORY. VOL. 23. ISSUE 1. P. 127 -142 6 86% 0

Classes with closest relation at Level 1


Rank Class id link
1 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
2 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
3 8786 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT
4 32393 PHASE FUNCTION METHOD//SUPERSYMMETRY AND FACTORIZATION//NP SCATTERING
5 19357 CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS
6 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
7 20854 ASSOCIATION SCHEME//TABLE ALGEBRAS//MODULAR ADJACENCY ALGEBRAS
8 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
9 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
10 28341 TELEGRAPH PROCESS//RANDOM FLIGHTS//JUMP TELEGRAPH PROCESS

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