Class information for:
Level 2: ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1111 9740 21.9 41%


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
4794 1                   RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//ABSOLUTELY CONTINUOUS SPECTRUM 1724
7203 1                   DOPPLER//TRAPPED MODES//POINT INTERACTIONS 1394
11187 1                   LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS 1001
13318 1                   STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 845
13336 1                   GROSS PITAEVSKII HIERARCHY//MEAN FIELD LIMIT//UMR 8088 844
14256 1                   QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES 781
14498 1                   PRIME ORBIT THEOREM//1D DIRAC//RESONANCES 766
18463 1                   APPROXIMATING HAMILTONIAN METHOD//GENERALIZED BOSE EINSTEIN CONDENSATION//BOGOLIUBOV WEAKLY IMPERFECT GAS 550
18560 1                   PAULI FIERZ MODEL//NON RELATIVISTIC QED//NELSON MODEL 547
20434 1                   BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES 461
20448 1                   VIRTUAL LEVEL//CHANNEL OPERATOR//TOTAL QUASIMOMENTUM 460
28890 1                   FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE 197
30347 1                   STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM 170

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 ANNALES HENRI POINCARE journal 286600 3% 30% 301
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS journal 226193 8% 9% 767
3 SCHRODINGER OPERATOR authKW 201423 2% 35% 184
4 RANDOM SCHRODINGER OPERATORS authKW 176653 1% 83% 68
5 ABSOLUTELY CONTINUOUS SPECTRUM authKW 150947 1% 75% 64
6 PHYSICS, MATHEMATICAL WoSSC 150748 35% 1% 3393
7 SCHRODINGER OPERATORS authKW 146247 1% 40% 116
8 DOPPLER address 142067 1% 60% 75
9 REVIEWS IN MATHEMATICAL PHYSICS journal 123445 2% 22% 183
10 INTEGRATED DENSITY OF STATES authKW 120524 0% 84% 46

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 Physics, Mathematical 150748 35% 1% 3393
2 Mathematics 94620 43% 1% 4171
3 Mathematics, Applied 21301 19% 0% 1893
4 Physics, Multidisciplinary 9209 15% 0% 1505
5 Physics, Particles & Fields 1172 5% 0% 443
6 Mechanics 294 3% 0% 291
7 Multidisciplinary Sciences 53 1% 0% 65
8 Physics, Fluids & Plasmas 36 1% 0% 102
9 Mathematics, Interdisciplinary Applications 18 1% 0% 78
10 Engineering, Ocean 16 0% 0% 17

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 DOPPLER 142067 1% 60% 75
2 MATH 59560 30% 1% 2885
3 UMR 8088 54261 1% 34% 51
4 STAT MECH MATH PHYS 53856 0% 90% 19
5 DOPPLER MATH PHYS PL MATH 40758 0% 48% 27
6 UMR 6629 33908 1% 19% 56
7 DCAIN 21932 0% 100% 7
8 MATH 253 37 20742 0% 30% 22
9 ZENTRUM MATH 20170 1% 9% 69
10 STAT MECH MATH PHYS THEORET CHEM 17055 0% 78% 7

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 286600 3% 30% 301
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 226193 8% 9% 767
3 REVIEWS IN MATHEMATICAL PHYSICS 123445 2% 22% 183
4 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 116492 2% 25% 148
5 JOURNAL OF SPECTRAL THEORY 100926 1% 46% 70
6 JOURNAL OF MATHEMATICAL PHYSICS 66898 6% 4% 586
7 JOURNAL OF FUNCTIONAL ANALYSIS 60730 4% 6% 356
8 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 52003 2% 8% 201
9 LETTERS IN MATHEMATICAL PHYSICS 49983 2% 7% 226
10 ASYMPTOTIC ANALYSIS 43918 1% 11% 129

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 SCHRODINGER OPERATOR 201423 2% 35% 184 Search SCHRODINGER+OPERATOR Search SCHRODINGER+OPERATOR
2 RANDOM SCHRODINGER OPERATORS 176653 1% 83% 68 Search RANDOM+SCHRODINGER+OPERATORS Search RANDOM+SCHRODINGER+OPERATORS
3 ABSOLUTELY CONTINUOUS SPECTRUM 150947 1% 75% 64 Search ABSOLUTELY+CONTINUOUS+SPECTRUM Search ABSOLUTELY+CONTINUOUS+SPECTRUM
4 SCHRODINGER OPERATORS 146247 1% 40% 116 Search SCHRODINGER+OPERATORS Search SCHRODINGER+OPERATORS
5 INTEGRATED DENSITY OF STATES 120524 0% 84% 46 Search INTEGRATED+DENSITY+OF+STATES Search INTEGRATED+DENSITY+OF+STATES
6 TRAPPED MODES 102973 1% 60% 55 Search TRAPPED+MODES Search TRAPPED+MODES
7 DISCRETE SPECTRUM 92791 1% 44% 68 Search DISCRETE+SPECTRUM Search DISCRETE+SPECTRUM
8 POINT INTERACTIONS 78604 0% 53% 47 Search POINT+INTERACTIONS Search POINT+INTERACTIONS
9 SEMICLASSICAL ANALYSIS 73150 1% 47% 50 Search SEMICLASSICAL+ANALYSIS Search SEMICLASSICAL+ANALYSIS
10 LIMITING ABSORPTION PRINCIPLE 72575 0% 70% 33 Search LIMITING+ABSORPTION+PRINCIPLE Search LIMITING+ABSORPTION+PRINCIPLE

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 (2008) EXISTENCE AND REGULARITY PROPERTIES OF THE INTEGRATED DENSITY OF STATES OF RANDOM SCHRODINGER OPERATORS.EXISTENCE AND REGULARITY PROPERTIES OF THE INTEGRATED DENSITY OF STATES OF RANDOM SCHRODINGER OPERATORS. VOL. 1917. ISSUE . P. 1 -+ 210 80% 0
2 KUCHMENT, P , (2016) AN OVERVIEW OF PERIODIC ELLIPTIC OPERATORS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 53. ISSUE 3. P. 343 -414 111 67% 1
3 GERMINET, F , KLEIN, A , (2013) A COMPREHENSIVE PROOF OF LOCALIZATION FOR CONTINUOUS ANDERSON MODELS WITH SINGULAR RANDOM POTENTIALS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 15. ISSUE 1. P. 53-143 70 97% 5
4 MOLLER, JS , (2014) FULLY COUPLED PAULI-FIERZ SYSTEMS AT ZERO AND POSITIVE TEMPERATURE.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 55. ISSUE 7. P. - 54 98% 2
5 SIMON, B , (2000) SCHRODINGER OPERATORS IN THE TWENTIETH CENTURY.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 41. ISSUE 6. P. 3523 -3555 79 82% 76
6 GERMINET, F , KLEIN, A , (2004) A CHARACTERIZATION OF THE ANDERSON METAL-INSULATOR TRANSPORT TRANSITION.DUKE MATHEMATICAL JOURNAL. VOL. 124. ISSUE 2. P. 309-350 61 91% 39
7 SOHINGER, V , (2015) A RIGOROUS DERIVATION OF THE DEFOCUSING CUBIC NONLINEAR SCHRODINGER EQUATION ON T-3 FROM THE DYNAMICS OF MANY-BODY QUANTUM SYSTEMS.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 32. ISSUE 6. P. 1337 -1365 49 83% 3
8 KREJCIRIK, D , KRIZ, J , (2005) ON THE SPECTRUM OF CURVED PLANAR WAVEGUIDES.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 41. ISSUE 3. P. 757 -791 51 98% 42
9 SADEL, C , (2016) ANDERSON TRANSITION AT TWO-DIMENSIONAL GROWTH RATE ON ANTITREES AND SPECTRAL THEORY FOR OPERATORS WITH ONE PROPAGATING CHANNEL.ANNALES HENRI POINCARE. VOL. 17. ISSUE 7. P. 1631 -1675 39 95% 1
10 LINTON, CM , MCIVER, P , (2007) EMBEDDED TRAPPED MODES IN WATER WAVES AND ACOUSTICS.WAVE MOTION. VOL. 45. ISSUE 1-2. P. 16 -29 46 88% 85

Classes with closest relation at Level 2


Rank Class id link
1 1949 STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM
2 1984 INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE
3 1160 STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP
4 1685 QUANTUM CHAOS//PHYSICS, MATHEMATICAL//NONLINEAR DYNAM SYST
5 3698 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS//CHAIR QUANTUM STAT FIELD THEORY//BOSE EINSTEIN DISTRIBUTION
6 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
7 3369 P ADIC NUMBERS//GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION
8 1800 FRACTIONAL SPIN//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY
9 2568 HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS
10 2891 BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY

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