Class information for:
Level 1: QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES

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
468 3       PHYSICS, MATHEMATICAL//MATHEMATICS//JOURNAL OF MATHEMATICAL PHYSICS 25817
1257 2             ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS 9169
15971 1                   QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES 707

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 QUANTUM ERGODICITY authKW 515298 2% 68% 17
2 DCAIN address 312038 1% 100% 7
3 EIGENFUNCTION ESTIMATES authKW 273032 1% 88% 7
4 DEGENERATE OSCILLATORY INTEGRALS authKW 222884 1% 100% 5
5 CYCLIC RESULTANT authKW 185735 1% 83% 5
6 RAYMOND BEVERLY SACKLER MATH SCI address 153619 3% 19% 18
7 NON SMOOTH COEFFICIENT authKW 133731 0% 100% 3
8 SUP NORMS authKW 133731 0% 100% 3
9 SEMICLASSICAL ANALYSIS authKW 131269 3% 16% 18
10 SEMICLASSICAL MEASURES authKW 114619 1% 43% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 16450 65% 0% 463
2 Physics, Mathematical 5243 24% 0% 172
3 Mathematics, Applied 1866 21% 0% 150
4 Physics, Multidisciplinary 235 10% 0% 70
5 Physics, Particles & Fields 123 5% 0% 37
6 Education, Scientific Disciplines -0 0% 0% 1
7 Automation & Control Systems -1 0% 0% 1
8 Mathematics, Interdisciplinary Applications -2 0% 0% 1
9 Computer Science, Theory & Methods -2 0% 0% 2
10 Physics, Atomic, Molecular & Chemical -3 1% 0% 5

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DCAIN 312038 1% 100% 7
2 RAYMOND BEVERLY SACKLER MATH SCI 153619 3% 19% 18
3 ETSI NAVALES 75209 1% 19% 9
4 DEBIN 59435 0% 67% 2
5 CHINESE SCI MATH SCI 44577 0% 100% 1
6 DSM PHT 44577 0% 100% 1
7 DSMPHT 44577 0% 100% 1
8 ETSI NAVLES 44577 0% 100% 1
9 MAT JEAN LERAY 44577 0% 100% 1
10 MATH CNRS URA 742 44577 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALES HENRI POINCARE 43042 5% 3% 32
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 31818 11% 1% 77
3 ASYMPTOTIC ANALYSIS 14709 3% 2% 20
4 JOURNAL OF FUNCTIONAL ANALYSIS 12350 6% 1% 43
5 DUKE MATHEMATICAL JOURNAL 11791 4% 1% 28
6 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 10403 3% 1% 24
7 JOURNAL OF SPECTRAL THEORY 9373 1% 4% 6
8 GEOMETRIC AND FUNCTIONAL ANALYSIS 9309 2% 1% 15
9 MATHEMATICAL RESEARCH LETTERS 8868 3% 1% 19
10 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 7515 3% 1% 23

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 QUANTUM ERGODICITY 515298 2% 68% 17 Search QUANTUM+ERGODICITY Search QUANTUM+ERGODICITY
2 EIGENFUNCTION ESTIMATES 273032 1% 88% 7 Search EIGENFUNCTION+ESTIMATES Search EIGENFUNCTION+ESTIMATES
3 DEGENERATE OSCILLATORY INTEGRALS 222884 1% 100% 5 Search DEGENERATE+OSCILLATORY+INTEGRALS Search DEGENERATE+OSCILLATORY+INTEGRALS
4 CYCLIC RESULTANT 185735 1% 83% 5 Search CYCLIC+RESULTANT Search CYCLIC+RESULTANT
5 NON SMOOTH COEFFICIENT 133731 0% 100% 3 Search NON+SMOOTH+COEFFICIENT Search NON+SMOOTH+COEFFICIENT
6 SUP NORMS 133731 0% 100% 3 Search SUP+NORMS Search SUP+NORMS
7 SEMICLASSICAL ANALYSIS 131269 3% 16% 18 Search SEMICLASSICAL+ANALYSIS Search SEMICLASSICAL+ANALYSIS
8 SEMICLASSICAL MEASURES 114619 1% 43% 6 Search SEMICLASSICAL+MEASURES Search SEMICLASSICAL+MEASURES
9 ARITHMETIC RANDOM WAVES 89154 0% 100% 2 Search ARITHMETIC+RANDOM+WAVES Search ARITHMETIC+RANDOM+WAVES
10 BAND INVARIANTS 89154 0% 100% 2 Search BAND+INVARIANTS Search BAND+INVARIANTS

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 22295 RANDOM POLYNOMIALS//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
2 5350 QUANTUM CHAOS//QUANTUM BILLIARD//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
3 20357 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//NODAL SETS
4 15567 STAT MECH MATH PHYS//HIGH FREQUENCY WAVES//STAT MECH MATH PHYS THEORET CHEM
5 16470 MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION
6 27411 BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE
7 4419 LIMITING ABSORPTION PRINCIPLE//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE//RESONANCES
8 22543 HAMILTONIAN MONODROMY//UMR 8101//ENERGY MOMENTUM MAP
9 30309 CAMTP//ASTRONAUT SCI TECHNOL//BARBANIS CONTOPOULOS SYSTEM
10 5230 L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS

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