Class information for:
Level 1: PRIME ORBIT THEOREM//1D DIRAC//RESONANCES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14498 766 20.3 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
14498 1                   PRIME ORBIT THEOREM//1D DIRAC//RESONANCES 766

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 PRIME ORBIT THEOREM authKW 127557 1% 80% 4
2 1D DIRAC authKW 119586 0% 100% 3
3 RESONANCES authKW 112829 6% 6% 46
4 SCATTERING RESONANCES authKW 108505 1% 39% 7
5 ASYMPTOTICALLY HYPERBOLIC authKW 90590 1% 45% 5
6 ASYMPTOTICALLY DISAPPEARING SOLUTIONS authKW 89688 0% 75% 3
7 CONFORMALLY COMPACT MANIFOLDS authKW 89688 0% 75% 3
8 ADDITIONAL SPECTRUM authKW 79724 0% 100% 2
9 CONVEX CO COMPACT authKW 79724 0% 100% 2
10 CUT OFF RESOLVENT authKW 79724 0% 100% 2

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 23033 74% 0% 567
2 Mathematics, Applied 4080 30% 0% 226
3 Physics, Mathematical 1264 12% 0% 91
4 Multidisciplinary Sciences 37 1% 0% 11
5 Physics, Multidisciplinary 28 5% 0% 35
6 Physics, Particles & Fields 6 2% 0% 15
7 Mechanics 0 1% 0% 9
8 Automation & Control Systems -0 0% 0% 3
9 Materials Science, Characterization, Testing -0 0% 0% 1
10 Telecommunications -0 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 ANAL NONLINEAIRE GEOMETRIE 53144 1% 33% 4
2 UMR 6629 49758 2% 7% 19
3 BIZERTE LAMSIN 39862 0% 100% 1
4 CEA DSM IPHTUNITE RECH 39862 0% 100% 1
5 CEA DSM PHT PHYS THEOR 39862 0% 100% 1
6 CNRSUMR UN 6629 39862 0% 100% 1
7 MATH UMR 6629 CNRS 39862 0% 100% 1
8 MATH UMR 9994 39862 0% 100% 1
9 PHYSN THEORUNITE RECH ASSOC 39862 0% 100% 1
10 PIED PHYS PL MATH 39862 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 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 42797 7% 2% 51
2 ASYMPTOTIC ANALYSIS 26408 4% 2% 28
3 JOURNAL OF SPECTRAL THEORY 21225 1% 6% 9
4 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 11432 2% 2% 13
5 ANALYSIS & PDE 10365 1% 3% 9
6 JOURNAL OF FUNCTIONAL ANALYSIS 8825 5% 1% 38
7 DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE 6799 3% 1% 23
8 DUKE MATHEMATICAL JOURNAL 6577 3% 1% 22
9 OSAKA JOURNAL OF MATHEMATICS 5496 2% 1% 16
10 COMMUNICATIONS IN MATHEMATICAL PHYSICS 5294 4% 0% 33

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 PRIME ORBIT THEOREM 127557 1% 80% 4 Search PRIME+ORBIT+THEOREM Search PRIME+ORBIT+THEOREM
2 1D DIRAC 119586 0% 100% 3 Search 1D+DIRAC Search 1D+DIRAC
3 RESONANCES 112829 6% 6% 46 Search RESONANCES Search RESONANCES
4 SCATTERING RESONANCES 108505 1% 39% 7 Search SCATTERING+RESONANCES Search SCATTERING+RESONANCES
5 ASYMPTOTICALLY HYPERBOLIC 90590 1% 45% 5 Search ASYMPTOTICALLY+HYPERBOLIC Search ASYMPTOTICALLY+HYPERBOLIC
6 ASYMPTOTICALLY DISAPPEARING SOLUTIONS 89688 0% 75% 3 Search ASYMPTOTICALLY+DISAPPEARING+SOLUTIONS Search ASYMPTOTICALLY+DISAPPEARING+SOLUTIONS
7 CONFORMALLY COMPACT MANIFOLDS 89688 0% 75% 3 Search CONFORMALLY+COMPACT+MANIFOLDS Search CONFORMALLY+COMPACT+MANIFOLDS
8 ADDITIONAL SPECTRUM 79724 0% 100% 2 Search ADDITIONAL+SPECTRUM Search ADDITIONAL+SPECTRUM
9 CONVEX CO COMPACT 79724 0% 100% 2 Search CONVEX+CO+COMPACT Search CONVEX+CO+COMPACT
10 CUT OFF RESOLVENT 79724 0% 100% 2 Search CUT+OFF+RESOLVENT Search CUT+OFF+RESOLVENT

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 DATCHEV, K , (2016) RESONANCE FREE REGIONS FOR NONTRAPPING MANIFOLDS WITH CUSPS.ANALYSIS & PDE. VOL. 9. ISSUE 4. P. 907 -953 37 82% 1
2 BORTHWICK, D , GUILLARMOU, C , (2016) UPPER BOUNDS FOR THE NUMBER OF RESONANCES ON GEOMETRICALLY FINITE HYPERBOLIC MANIFOLDS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 18. ISSUE 5. P. 997 -1041 22 88% 0
3 CHRISTIANSEN, TJ , (2015) LOWER BOUNDS FOR RESONANCE COUNTING FUNCTIONS FOR SCHRODINGER OPERATORS WITH FIXED SIGN POTENTIALS IN EVEN DIMENSIONS.JOURNAL OF SPECTRAL THEORY. VOL. 5. ISSUE 3. P. 571 -597 19 100% 0
4 BORTHWICK, D , PHILIPP, P , (2014) RESONANCE ASYMPTOTICS FOR ASYMPTOTICALLY HYPERBOLIC MANIFOLDS WITH WARPED-PRODUCT ENDS.ASYMPTOTIC ANALYSIS. VOL. 90. ISSUE 3-4. P. 281 -323 18 100% 0
5 CHRISTIANSEN, TJ , HISLOP, PD , (2016) SOME REMARKS ON RESONANCES IN EVEN-DIMENSIONAL EUCLIDEAN SCATTERING.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 2. P. 1361 -1385 19 90% 0
6 DATCHEV, K , DYATLOV, S , (2013) FRACTAL WEYL LAWS FOR ASYMPTOTICALLY HYPERBOLIC MANIFOLDS.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 23. ISSUE 4. P. 1145-1206 24 73% 8
7 SJOSTRAND, J , ZWORSKI, M , (2007) FRACTAL UPPER BOUNDS ON THE DENSITY OF SEMICLASSICAL RESONANCES.DUKE MATHEMATICAL JOURNAL. VOL. 137. ISSUE 3. P. 381 -459 24 80% 40
8 STEFANOV, P , (2006) SHARP UPPER BOUNDS ON THE NUMBER OF THE SCATTERING POLES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 231. ISSUE 1. P. 111-142 21 95% 18
9 DYATLOV, S , GUILLARMOU, C , (2013) SCATTERING PHASE ASYMPTOTICS WITH FRACTAL REMAINDERS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 324. ISSUE 2. P. 425-444 19 90% 1
10 GUILLOPE, L , (2014) HYPERFUNCTIONS IN HYPERBOLIC GEOMETRY.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 59. ISSUE 11. P. 1559 -1571 21 78% 0

Classes with closest relation at Level 1


Rank Class id link
1 11187 LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS
2 14256 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
3 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE
4 28890 FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE
5 12431 NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS
6 30984 RADIATING SOLUTIONS//VOLUME SINGULAR INTEGRAL EQUATION//EVOLUTIONARY EQUATIONS
7 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
8 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
9 20760 DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION
10 27861 WAVE SCATTERING BY SMALL BODIES//MANY BODY SCATTERING PROBLEM//REFRACTION COEFFICIENT

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