Class information for:
Level 1: HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19134 520 16.4 28%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1098 2             HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS 9817
19134 1                   HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP 520

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 HECKE GROUPS authKW 1672845 7% 81% 35
2 SUBORBITAL GRAPHS authKW 587207 2% 100% 10
3 EXTENDED HECKE GROUP authKW 533823 2% 91% 10
4 POWER SUBGROUP authKW 533823 2% 91% 10
5 PRINCIPAL CONGRUENCE SUBGROUP authKW 451693 2% 77% 10
6 CONGRUENCE SUBGROUPS authKW 366987 3% 42% 15
7 MODULAR GROUP authKW 302316 4% 23% 22
8 IMPRIMITIVE ACTION authKW 293604 1% 100% 5
9 EXTENDED MODULAR GROUP authKW 264240 1% 75% 6
10 CONTINUED FRACTIONS authKW 247934 9% 9% 47

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 21618 87% 0% 451
2 Mathematics, Applied 2048 26% 0% 133
3 Statistics & Probability 65 3% 0% 17
4 Physics, Mathematical 58 4% 0% 19
5 Computer Science, Theory & Methods 27 3% 0% 14
6 History & Philosophy of Science 9 1% 0% 3
7 Multidisciplinary Sciences 9 1% 0% 5
8 Logic 2 0% 0% 1
9 Computer Science, Software Engineering 2 1% 0% 5
10 Mathematics, Interdisciplinary Applications 1 1% 0% 4

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 ABT STAT PHYS NICHTLINEARE DYNAM 132120 1% 75% 3
2 ILKOGRETIM MATEMAT BOLUMU 117441 0% 100% 2
3 KOPRUBASI MESLEK YUKSEK OKULU 117441 0% 100% 2
4 QUANTUM GEOMETRY QGM 117441 0% 100% 2
5 THOMAS STIELTJES MATH 112918 1% 38% 5
6 EWI DIAM 104388 1% 44% 4
7 NECATIBEY EGITIM FAK 96080 1% 27% 6
8 ITS SSOR 78293 0% 67% 2
9 SECONDARY MATH EDUC 75495 1% 43% 3
10 ATS SCI 58721 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 JOURNAL OF NUMBER THEORY 20979 8% 1% 41
2 JOURNAL OF MODERN DYNAMICS 12662 1% 3% 7
3 PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES 7906 1% 2% 6
4 INDAGATIONES MATHEMATICAE-NEW SERIES 5904 2% 1% 11
5 ILLINOIS JOURNAL OF MATHEMATICS 5415 3% 1% 13
6 ACTA ARITHMETICA 5253 3% 1% 17
7 RAMANUJAN JOURNAL 4600 2% 1% 9
8 ERGODIC THEORY AND DYNAMICAL SYSTEMS 2429 2% 0% 10
9 HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS 2072 1% 1% 5
10 LMS JOURNAL OF COMPUTATION AND MATHEMATICS 2058 1% 1% 3

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 HECKE GROUPS 1672845 7% 81% 35 Search HECKE+GROUPS Search HECKE+GROUPS
2 SUBORBITAL GRAPHS 587207 2% 100% 10 Search SUBORBITAL+GRAPHS Search SUBORBITAL+GRAPHS
3 EXTENDED HECKE GROUP 533823 2% 91% 10 Search EXTENDED+HECKE+GROUP Search EXTENDED+HECKE+GROUP
4 POWER SUBGROUP 533823 2% 91% 10 Search POWER+SUBGROUP Search POWER+SUBGROUP
5 PRINCIPAL CONGRUENCE SUBGROUP 451693 2% 77% 10 Search PRINCIPAL+CONGRUENCE+SUBGROUP Search PRINCIPAL+CONGRUENCE+SUBGROUP
6 CONGRUENCE SUBGROUPS 366987 3% 42% 15 Search CONGRUENCE+SUBGROUPS Search CONGRUENCE+SUBGROUPS
7 MODULAR GROUP 302316 4% 23% 22 Search MODULAR+GROUP Search MODULAR+GROUP
8 IMPRIMITIVE ACTION 293604 1% 100% 5 Search IMPRIMITIVE+ACTION Search IMPRIMITIVE+ACTION
9 EXTENDED MODULAR GROUP 264240 1% 75% 6 Search EXTENDED+MODULAR+GROUP Search EXTENDED+MODULAR+GROUP
10 CONTINUED FRACTIONS 247934 9% 9% 47 Search CONTINUED+FRACTIONS Search CONTINUED+FRACTIONS

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 POHL, AD , (2014) SYMBOLIC DYNAMICS FOR THE GEODESIC FLOW ON TWO-DIMENSIONAL HYPERBOLIC GOOD ORBIFOLDS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 34. ISSUE 5. P. 2173-2241 23 92% 0
2 ARNOUX, P , SCHMIDT, TA , (2013) CROSS SECTIONS FOR GEODESIC FLOWS AND ALPHA-CONTINUED FRACTIONS.NONLINEARITY. VOL. 26. ISSUE 3. P. 711-726 21 91% 1
3 SHORT, I , WALKER, M , (2016) GEODESIC ROSEN CONTINUED FRACTIONS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 67. ISSUE 4. P. 519 -549 16 100% 0
4 POHL, AD , (2012) A DYNAMICAL APPROACH TO MAASS CUSP FORMS.JOURNAL OF MODERN DYNAMICS. VOL. 6. ISSUE 4. P. 563-596 16 89% 2
5 MOLLER, M , POHL, AD , (2013) PERIOD FUNCTIONS FOR HECKE TRIANGLE GROUPS, AND THE SELBERG ZETA FUNCTION AS A FREDHOLM DETERMINANT.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 33. ISSUE . P. 247-283 15 83% 6
6 BRUGGEMAN, R , LEWIS, J , ZAGIER, D , (2015) INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 237. ISSUE 1118. P. VII -+ 12 100% 1
7 DEMIR, B , KORUOGLU, O , SAHIN, R , (2016) SOME NORMAL SUBGROUPS OF EXTENDED GENERALIZED HECKE GROUPS.HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS. VOL. 45. ISSUE 4. P. 1023 -1032 13 87% 0
8 POHL, AD , (2016) ODD AND EVEN MAASS CUSP FORMS FOR HECKE TRIANGLE GROUPS, AND THE BILLIARD FLOW.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 36. ISSUE . P. 142 -172 13 81% 0
9 GULER, BO , KOR, T , SANLI, Z , (2016) SOLUTIONS TO SOME CONGRUENCE EQUATIONS VIA SUBORBITAL GRAPHS.SPRINGERPLUS. VOL. 5. ISSUE . P. - 10 100% 0
10 FISHER, AM , SCHMIDT, TA , (2014) DISTRIBUTION OF APPROXIMANTS AND GEODESIC FLOWS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 34. ISSUE . P. 1832 -1848 14 74% 1

Classes with closest relation at Level 1


Rank Class id link
1 28473 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//SIMULTANEOUS DIOPHANTINE APPROXIMATIONS
2 12789 MATEMAT FUNDAMENTALES//KLEIN SURFACES//RIEMANN SURFACE
3 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
4 15354 WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT
5 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION
6 28866 NOWHERE DIFFERENTIABLE FUNCTION//SINGULAR FUNCTIONS//TAKAGIS FUNCTION
7 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS
8 14899 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
9 32107 AVOIDABLE SETS//RANDOM FIBONACCI SEQUENCE//RANDOM FIBONACCI SEQUENCES
10 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES

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