Class information for:
Level 1: RANDOM POLYNOMIALS//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
482 3       MATHEMATICS//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES 24304
1525 2             MATHEMATICS//HOLOMORPHIC FOLIATION//PLURISUBHARMONIC FUNCTION 7742
22295 1                   RANDOM POLYNOMIALS//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS 410

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RANDOM POLYNOMIALS authKW 1945717 11% 56% 45
2 KAC RICE FORMULA authKW 1932334 7% 93% 27
3 RANDOM ALGEBRAIC POLYNOMIALS authKW 1924580 6% 96% 26
4 NUMBER OF REAL ZEROS authKW 1261352 5% 86% 19
5 RANDOM TRIGONOMETRIC POLYNOMIAL authKW 764166 3% 76% 13
6 NUMBER OF REAL ROOTS authKW 640575 2% 83% 10
7 RANDOM HOLOMORPHIC SECTIONS authKW 614955 2% 100% 8
8 POSITIVE LINE BUNDLE authKW 566035 2% 82% 9
9 EXPECTED DENSITY authKW 395327 1% 86% 6
10 BERGMAN KERNEL ASYMPTOTICS authKW 384347 1% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 10860 70% 0% 286
2 Statistics & Probability 1357 14% 0% 59
3 Mathematics, Applied 1136 22% 0% 89
4 Physics, Mathematical 877 13% 0% 55
5 Computer Science, Theory & Methods 5 2% 0% 7
6 Multidisciplinary Sciences 1 0% 0% 2
7 Mechanics 0 1% 0% 5
8 Mathematical & Computational Biology -0 0% 0% 1
9 Automation & Control Systems -0 0% 0% 1
10 Physics, Particles & Fields -0 1% 0% 3

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CIENCIAS EXACTAS LA PLATA 102491 0% 67% 2
2 INFORMAT COMPUTAT TECHNOL 76869 0% 100% 1
3 PHYSPROGAM PL COMPUTAT MATH 76869 0% 100% 1
4 BGSMATH 43923 0% 29% 2
5 PHYS ENGN LOW TEMP 38434 0% 50% 1
6 ALGORITHM ARITHMET 34161 0% 22% 2
7 UMR 7640 18095 2% 3% 7
8 MATEMAT ESTADIST LITORAL 18083 0% 12% 2
9 CHAIR INFORMAT TRANSMISS 15372 0% 20% 1
10 MATEMAT PLICAZ 15372 0% 20% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ABEL SYMPOSIA 16296 3% 2% 14
2 JOURNAL OF GEOMETRIC ANALYSIS 14934 3% 1% 14
3 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 12992 6% 1% 23
4 JOURNAL OF SYMPLECTIC GEOMETRY 3002 1% 1% 3
5 INTERNATIONAL JOURNAL OF MATHEMATICS 2968 2% 0% 8
6 JOURNAL OF DIFFERENTIAL GEOMETRY 2833 2% 0% 8
7 JOURNAL OF THEORETICAL PROBABILITY 2306 1% 1% 6
8 JOURNAL OF STATISTICAL PHYSICS 2129 4% 0% 15
9 COMMUNICATIONS IN MATHEMATICAL PHYSICS 2062 4% 0% 15
10 INDIANA UNIVERSITY MATHEMATICS JOURNAL 2053 2% 0% 8

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RANDOM POLYNOMIALS 1945717 11% 56% 45 Search RANDOM+POLYNOMIALS Search RANDOM+POLYNOMIALS
2 KAC RICE FORMULA 1932334 7% 93% 27 Search KAC+RICE+FORMULA Search KAC+RICE+FORMULA
3 RANDOM ALGEBRAIC POLYNOMIALS 1924580 6% 96% 26 Search RANDOM+ALGEBRAIC+POLYNOMIALS Search RANDOM+ALGEBRAIC+POLYNOMIALS
4 NUMBER OF REAL ZEROS 1261352 5% 86% 19 Search NUMBER+OF+REAL+ZEROS Search NUMBER+OF+REAL+ZEROS
5 RANDOM TRIGONOMETRIC POLYNOMIAL 764166 3% 76% 13 Search RANDOM+TRIGONOMETRIC+POLYNOMIAL Search RANDOM+TRIGONOMETRIC+POLYNOMIAL
6 NUMBER OF REAL ROOTS 640575 2% 83% 10 Search NUMBER+OF+REAL+ROOTS Search NUMBER+OF+REAL+ROOTS
7 RANDOM HOLOMORPHIC SECTIONS 614955 2% 100% 8 Search RANDOM+HOLOMORPHIC+SECTIONS Search RANDOM+HOLOMORPHIC+SECTIONS
8 POSITIVE LINE BUNDLE 566035 2% 82% 9 Search POSITIVE+LINE+BUNDLE Search POSITIVE+LINE+BUNDLE
9 EXPECTED DENSITY 395327 1% 86% 6 Search EXPECTED+DENSITY Search EXPECTED+DENSITY
10 BERGMAN KERNEL ASYMPTOTICS 384347 1% 100% 5 Search BERGMAN+KERNEL+ASYMPTOTICS Search BERGMAN+KERNEL+ASYMPTOTICS

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 15971 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
2 12776 DEFORMATION QUANTIZATION//KAHLER METRICS//STAR PRODUCT
3 3107 RICCI FLOW//RICCI SOLITON//KAHLER RICCI FLOW
4 14641 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
5 33471 CO ADAPTED COUPLING//SHIFT COUPLING//FINITARY ISOMORPHISM
6 21784 ADAPTED COMPLEX STRUCTURES//GAUGE ORBIT SPACE//SEGAL BARGMANN TRANSFORM
7 12634 SYMPLECTIC QUOTIENT//EQUIVARIANT COHOMOLOGY//MOMENTUM MAP
8 15742 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
9 22543 HAMILTONIAN MONODROMY//UMR 8101//ENERGY MOMENTUM MAP
10 6272 RANDOM MATRICES//LIMITING SPECTRAL DISTRIBUTION//STIELTJES TRANSFORM

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