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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14256 781 22.1 38%


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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
1111 2             ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR 9740
14256 1                   QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES 781

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 QUANTUM ERGODICITY authKW 382454 2% 65% 15
2 DCAIN address 273675 1% 100% 7
3 EIGENFUNCTION ESTIMATES authKW 239464 1% 88% 7
4 DEGENERATE OSCILLATORY INTEGRALS authKW 195482 1% 100% 5
5 CYCLIC RESULTANT authKW 162900 1% 83% 5
6 SEMICLASSICAL ANALYSIS authKW 146122 3% 19% 20
7 QUANTUM UNIQUE ERGODICITY authKW 125107 1% 80% 4
8 NON SMOOTH COEFFICIENT authKW 117289 0% 100% 3
9 SUP NORMS authKW 117289 0% 100% 3
10 RAYMOND BEVERLY SACKLER MATH SCI address 95591 2% 16% 15

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 19349 67% 0% 526
2 Physics, Mathematical 4429 21% 0% 167
3 Mathematics, Applied 2180 22% 0% 170
4 Multidisciplinary Sciences 239 3% 0% 25
5 Physics, Multidisciplinary 146 8% 0% 62
6 Physics, Particles & Fields 60 4% 0% 30
7 History & Philosophy of Science 0 0% 0% 1
8 Automation & Control Systems -2 0% 0% 1
9 Mathematics, Interdisciplinary Applications -2 0% 0% 1
10 Computer Science, Theory & Methods -2 0% 0% 2

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 DCAIN 273675 1% 100% 7
2 RAYMOND BEVERLY SACKLER MATH SCI 95591 2% 16% 15
3 ETSI NAVALES 67364 1% 19% 9
4 DEBIN 52127 0% 67% 2
5 CHINESE SCI MATH SCI 39096 0% 100% 1
6 DSM PHT 39096 0% 100% 1
7 ETSI NAVLES 39096 0% 100% 1
8 MAT JEAN LERAY 39096 0% 100% 1
9 MATH CNRS URA 742 39096 0% 100% 1
10 MATH JEAN LERAYUMR 39096 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 ANNALES HENRI POINCARE 33189 4% 3% 29
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 29215 10% 1% 78
3 ANALYSIS & PDE 12552 1% 3% 10
4 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 11739 3% 1% 27
5 DUKE MATHEMATICAL JOURNAL 11226 4% 1% 29
6 JOURNAL OF FUNCTIONAL ANALYSIS 11093 6% 1% 43
7 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 7499 3% 1% 24
8 ASYMPTOTIC ANALYSIS 7419 2% 1% 15
9 JOURNAL OF SPECTRAL THEORY 6421 1% 3% 5
10 MATHEMATICAL RESEARCH LETTERS 6350 2% 1% 17

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 QUANTUM ERGODICITY 382454 2% 65% 15 Search QUANTUM+ERGODICITY Search QUANTUM+ERGODICITY
2 EIGENFUNCTION ESTIMATES 239464 1% 88% 7 Search EIGENFUNCTION+ESTIMATES Search EIGENFUNCTION+ESTIMATES
3 DEGENERATE OSCILLATORY INTEGRALS 195482 1% 100% 5 Search DEGENERATE+OSCILLATORY+INTEGRALS Search DEGENERATE+OSCILLATORY+INTEGRALS
4 CYCLIC RESULTANT 162900 1% 83% 5 Search CYCLIC+RESULTANT Search CYCLIC+RESULTANT
5 SEMICLASSICAL ANALYSIS 146122 3% 19% 20 Search SEMICLASSICAL+ANALYSIS Search SEMICLASSICAL+ANALYSIS
6 QUANTUM UNIQUE ERGODICITY 125107 1% 80% 4 Search QUANTUM+UNIQUE+ERGODICITY Search QUANTUM+UNIQUE+ERGODICITY
7 NON SMOOTH COEFFICIENT 117289 0% 100% 3 Search NON+SMOOTH+COEFFICIENT Search NON+SMOOTH+COEFFICIENT
8 SUP NORMS 117289 0% 100% 3 Search SUP+NORMS Search SUP+NORMS
9 SEMICLASSICAL MEASURES 81445 1% 42% 5 Search SEMICLASSICAL+MEASURES Search SEMICLASSICAL+MEASURES
10 BAND INVARIANTS 78193 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 MACIA, F , (2015) HIGH-FREQUENCY DYNAMICS FOR THE SCHRODINGER EQUATION, WITH APPLICATIONS TO DISPERSION AND OBSERVABILITY.NONLINEAR OPTICAL AND ATOMIC SYSTEMS: AT THE INTERFACE OF PHYSICS AND MATHEMATICS. VOL. 2146. ISSUE . P. 275 -335 36 63% 0
2 BROOKS, S , LINDENSTRAUSS, E , (2014) JOINT QUASIMODES, POSITIVE ENTROPY, AND QUANTUM UNIQUE ERGODICITY.INVENTIONES MATHEMATICAE. VOL. 198. ISSUE 1. P. 219 -259 20 95% 3
3 BURQ, N , ZUILY, C , (2016) CONCENTRATION OF LAPLACE EIGENFUNCTIONS AND STABILIZATION OF WEAKLY DAMPED WAVE EQUATION.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 345. ISSUE 3. P. 1055 -1076 24 65% 0
4 OLOFSSON, R , (2010) LARGE NEWFORMS OF THE QUANTIZED CAT MAP REVISITED.ANNALES HENRI POINCARE. VOL. 11. ISSUE 7. P. 1285-1302 17 100% 0
5 HAN, XL , (2017) SMALL SCALE EQUIDISTRIBUTION OF RANDOM EIGENBASES.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 349. ISSUE 1. P. 425 -440 15 94% 0
6 HAN, XL , (2015) SMALL SCALE QUANTUM ERGODICITY IN NEGATIVELY CURVED MANIFOLDS.NONLINEARITY. VOL. 28. ISSUE 9. P. 3263 -3288 17 81% 3
7 ZELDITCH, S , (2016) LOGARITHMIC LOWER BOUND ON THE NUMBER OF NODAL DOMAINS.JOURNAL OF SPECTRAL THEORY. VOL. 6. ISSUE 4. P. 1047 -1086 15 94% 0
8 WEICH, T , (2014) EQUIVARIANT SPECTRAL ASYMPTOTICS FOR H-PSEUDODIFFERENTIAL OPERATORS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 55. ISSUE 10. P. - 14 100% 0
9 MARSHALL, S , (2016) GEODESIC RESTRICTIONS OF ARITHMETIC EIGENFUNCTIONS.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 3. P. 463 -508 17 77% 0
10 SCHUBERT, R , (2008) ON THE RATE OF QUANTUM ERGODICITY FOR QUANTISED MAPS.ANNALES HENRI POINCARE. VOL. 9. ISSUE 8. P. 1455 -1477 21 75% 1

Classes with closest relation at Level 1


Rank Class id link
1 14498 PRIME ORBIT THEOREM//1D DIRAC//RESONANCES
2 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
3 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE
4 24086 UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP
5 24654 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//RANDOM POLYNOMIALS
6 18570 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//SIZE ESTIMATES
7 19740 ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL
8 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
9 1150 QUANTUM CHAOS//PHYSICS, MATHEMATICAL//WAVE CHAOS
10 30347 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM

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