Class information for:
Level 1: CAYLEY TREE//HUSIMI LATTICE//GIBBS MEASURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21783 406 20.3 49%


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
12 4 POLYMER SCIENCE//MATERIALS SCIENCE, PAPER & WOOD//CHEMISTRY, PHYSICAL 1084170
240 3       PHYSICS, MATHEMATICAL//JOURNAL OF STATISTICAL PHYSICS//PHYSICAL REVIEW E 47494
392 2             ISING MODEL//SPIN GLASS//JOURNAL OF STATISTICAL PHYSICS 16864
21783 1                   CAYLEY TREE//HUSIMI LATTICE//GIBBS MEASURE 406

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 CAYLEY TREE authKW 3544364 18% 65% 72
2 HUSIMI LATTICE authKW 847356 3% 87% 13
3 GIBBS MEASURE authKW 648757 13% 16% 54
4 COMPUTAT THEORET SCI address 401720 6% 21% 25
5 INTERDISCIPLINARE VITO VOLTERRA address 386789 1% 86% 6
6 MATHEMATICAL QUANTUM STATISTICAL MECHANICS authKW 300838 1% 100% 4
7 WEAKLY PERIODIC MEASURE authKW 300838 1% 100% 4
8 PERIODIC MEASURE authKW 240668 1% 80% 4
9 THE SECOND ORDER PHASE TRANSITIONS authKW 225628 1% 100% 3
10 WEAKLY PERIODIC GIBBS MEASURE authKW 225628 1% 100% 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 Physics, Mathematical 8186 40% 0% 161
2 Physics, Multidisciplinary 3476 43% 0% 173
3 Statistics & Probability 327 7% 0% 30
4 Mathematics, Applied 122 8% 0% 33
5 Mathematics 88 8% 0% 32
6 Physics, Condensed Matter 78 9% 0% 38
7 Physics, Fluids & Plasmas 57 3% 0% 14
8 Computer Science, Interdisciplinary Applications 4 1% 0% 6
9 Mathematics, Interdisciplinary Applications 2 1% 0% 4
10 History & Philosophy of Science 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 COMPUTAT THEORET SCI 401720 6% 21% 25
2 INTERDISCIPLINARE VITO VOLTERRA 386789 1% 86% 6
3 MARSA PREPARATORY SCI TECH STUDIES 150419 0% 100% 2
4 ROMANOVSKII MATH 112811 1% 50% 3
5 CNR FELLOWSHIP 75209 0% 100% 1
6 CP 6030 75209 0% 100% 1
7 FUNDACAO AMPARO CIENCIA TECNOL ESTADO PERAMBUCO 75209 0% 100% 1
8 INFM UNITE RIC 75209 0% 100% 1
9 INTERDEPARTIMENTALE V VOLTERRA 75209 0% 100% 1
10 INTERDISCIPLINAIRE VITO VOLTERRA 75209 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 THEORETICAL AND MATHEMATICAL PHYSICS 14382 8% 1% 31
2 JOURNAL OF STATISTICAL PHYSICS 13796 9% 0% 38
3 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 11995 2% 2% 10
4 MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY 9658 1% 2% 6
5 PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 4649 9% 0% 35
6 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 3444 7% 0% 27
7 PHYSICS LETTERS A 1781 7% 0% 28
8 ANNALS OF APPLIED PROBABILITY 1258 1% 0% 5
9 JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 1179 4% 0% 18
10 PROGRESS OF THEORETICAL PHYSICS 1024 2% 0% 9

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 CAYLEY TREE 3544364 18% 65% 72 Search CAYLEY+TREE Search CAYLEY+TREE
2 HUSIMI LATTICE 847356 3% 87% 13 Search HUSIMI+LATTICE Search HUSIMI+LATTICE
3 GIBBS MEASURE 648757 13% 16% 54 Search GIBBS+MEASURE Search GIBBS+MEASURE
4 MATHEMATICAL QUANTUM STATISTICAL MECHANICS 300838 1% 100% 4 Search MATHEMATICAL+QUANTUM+STATISTICAL+MECHANICS Search MATHEMATICAL+QUANTUM+STATISTICAL+MECHANICS
5 WEAKLY PERIODIC MEASURE 300838 1% 100% 4 Search WEAKLY+PERIODIC+MEASURE Search WEAKLY+PERIODIC+MEASURE
6 PERIODIC MEASURE 240668 1% 80% 4 Search PERIODIC+MEASURE Search PERIODIC+MEASURE
7 THE SECOND ORDER PHASE TRANSITIONS 225628 1% 100% 3 Search THE+SECOND+ORDER+PHASE+TRANSITIONS Search THE+SECOND+ORDER+PHASE+TRANSITIONS
8 WEAKLY PERIODIC GIBBS MEASURE 225628 1% 100% 3 Search WEAKLY+PERIODIC+GIBBS+MEASURE Search WEAKLY+PERIODIC+GIBBS+MEASURE
9 TRANSLATION INVARIANT MEASURE 208911 1% 56% 5 Search TRANSLATION+INVARIANT+MEASURE Search TRANSLATION+INVARIANT+MEASURE
10 QUANTUM MARKOV CHAIN 208266 1% 46% 6 Search QUANTUM+MARKOV+CHAIN Search QUANTUM+MARKOV+CHAIN

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 ROZIKOV, UA , (2013) GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 25. ISSUE 1. P. - 75 60% 6
2 MUKHAMEDOV, F , BARHOUMI, A , SOUISSI, A , (2016) PHASE TRANSITIONS FOR QUANTUM MARKOV CHAINS ASSOCIATED WITH ISING TYPE MODELS ON A CAYLEY TREE.JOURNAL OF STATISTICAL PHYSICS. VOL. 163. ISSUE 3. P. 544 -567 28 76% 0
3 MUKHAMEDOV, F , BARHOUMI, A , SOUISSI, A , (2016) ON AN ALGEBRAIC PROPERTY OF THE DISORDERED PHASE OF THE ISING MODEL WITH COMPETING INTERACTIONS ON A CAYLEY TREE.MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. VOL. 19. ISSUE 4. P. - 23 92% 0
4 ROZIKOV, UA , AKIN, H , UGUZ, S , (2014) EXACT SOLUTION OF A GENERALIZED ANNNI MODEL ON A CAYLEY TREE.MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. VOL. 17. ISSUE 1-2. P. 103 -114 16 100% 4
5 GANIKHODJAEV, N , MUKHAMEDOV, F , MENDES, JFF , (2006) ON THE THREE STATE POTTS MODEL WITH COMPETING INTERACTIONS ON THE BETHE LATTICE.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT. VOL. . ISSUE . P. - 23 77% 7
6 UGUZ, S , GANIKHODJAEV, N , AKIN, H , TEMIR, S , (2012) LYAPUNOV EXPONENTS AND MODULATED PHASES OF AN ISING MODEL ON CAYLEY TREE OF ARBITRARY ORDER.INTERNATIONAL JOURNAL OF MODERN PHYSICS C. VOL. 23. ISSUE 5. P. - 18 82% 1
7 AKIN, H , (2016) USING NEW APPROACHES TO OBTAIN GIBBS MEASURES OF VANNIMENUS MODEL ON A CAYLEY TREE.CHINESE JOURNAL OF PHYSICS. VOL. 54. ISSUE 4. P. 635 -649 18 75% 0
8 GANIKHODJAEV, N , NAWI, AM , RODZHAN, MHM , (2012) POTTS MODEL WITH NEXT-NEAREST-NEIGHBOR TERNARY INTERACTIONS ON AN ARBITRARY-ORDER CAYLEY TREE.JOURNAL OF THE KOREAN PHYSICAL SOCIETY. VOL. 61. ISSUE 7. P. 998 -1004 18 78% 0
9 ROZIKOV, UA , KHAKIMOV, RM , (2012) THE UNIQUENESS CONDITION FOR A WEAKLY PERIODIC GIBBS MEASURE FOR THE HARD-CORE MODEL.THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 173. ISSUE 1. P. 1377-1386 13 100% 0
10 SABUROV, MK , ACCARDI, L , MUKHAMEDOV, FM , (2011) UNIQUENESS OF QUANTUM MARKOV CHAINS ASSOCIATED WITH AN XY-MODEL ON A CAYLEY TREE OF ORDER 2.MATHEMATICAL NOTES. VOL. 90. ISSUE 1-2. P. 162 -174 15 88% 1

Classes with closest relation at Level 1


Rank Class id link
1 8528 PARTITION FUNCTION ZEROS//ANTIFERROMAGNETIC POTTS MODEL//POTTS MODEL
2 13940 ANNNI MODEL//CHIRAL XY MODEL//CI TRANSITION
3 16186 P ADIC NUMBERS//INT MATH MODELLING PHYS COGNIT SCI MSI//P ADIC PSEUDODIFFERENTIAL OPERATORS
4 8098 MESSAGE PASSING ALGORITHMS//CAVITY AND REPLICA METHOD//NUMBER PARTITIONING
5 14004 APPROXIMATE COUNTING//PERMANENTAL POLYNOMIAL//PERMANENT
6 16899 COHERENT ANOMALY METHOD//6 STATE CLOCK MODEL//INFINITE SPIN
7 7833 NON GIBBSIAN MEASURES//ENTROPIC REPULSION//JOURNAL OF STATISTICAL PHYSICS
8 2387 GLAUBER TYPE STOCHASTIC DYNAMICS//EFFECTIVE FIELD THEORY//COMPENSATION TEMPERATURE
9 19861 FREE RADICAL HOMOPOLYMERIZATION//POLYMER MOMENT//EQUILIBRIUM FREE ENERGY
10 13959 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS

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