Class information for:
Level 1: RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//ABSOLUTELY CONTINUOUS SPECTRUM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4794 1724 23.8 47%


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

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 RANDOM SCHRODINGER OPERATORS authKW 940774 4% 80% 66
2 INTEGRATED DENSITY OF STATES authKW 567994 2% 76% 42
3 ABSOLUTELY CONTINUOUS SPECTRUM authKW 563352 3% 61% 52
4 WEGNER ESTIMATE authKW 364317 1% 86% 24
5 RANDOM OPERATORS authKW 230521 2% 48% 27
6 LIFSHITZ TAILS authKW 197112 1% 70% 16
7 JACOBI MATRICES authKW 195941 2% 38% 29
8 ANDERSON LOCALIZATION authKW 148675 3% 18% 47
9 LIMIT PERIODIC POTENTIAL authKW 141682 0% 100% 8
10 SCHRODINGER OPERATORS authKW 130043 3% 16% 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 29805 37% 0% 634
2 Mathematics 25794 53% 0% 909
3 Mathematics, Applied 3966 20% 0% 343
4 Physics, Multidisciplinary 416 9% 0% 151
5 Physics, Particles & Fields 115 4% 0% 63
6 Statistics & Probability 54 2% 0% 33
7 Mathematical & Computational Biology 0 0% 0% 7
8 Mathematics, Interdisciplinary Applications -0 0% 0% 8
9 Multidisciplinary Sciences -1 0% 0% 3
10 Remote Sensing -1 0% 0% 1

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 IUFUMR 8088 88551 0% 100% 5
2 WYDZIAL MATEMAT INFORMAT MECH 86776 0% 70% 7
3 MATH 253 37 62082 1% 22% 16
4 CNRSURA 7539 53131 0% 100% 3
5 MATH CH 452 35420 0% 100% 2
6 UNIV PARIS DIDEROTCNRSIMJ PRGUMR 7586 35420 0% 100% 2
7 UMR 7539LAGA 26562 0% 50% 3
8 GALILEE 18500 2% 3% 36
9 MATH JUSSIEU 18462 2% 3% 34
10 MATH 17869 38% 0% 658

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 MATHEMATICAL PHYSICS 98795 12% 3% 213
2 MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY 64712 2% 11% 32
3 ANNALES HENRI POINCARE 60131 3% 6% 58
4 JOURNAL OF SPECTRAL THEORY 56355 1% 14% 22
5 REVIEWS IN MATHEMATICAL PHYSICS 31691 2% 5% 39
6 JOURNAL OF APPROXIMATION THEORY 26057 4% 2% 71
7 JOURNAL OF FUNCTIONAL ANALYSIS 20085 5% 1% 86
8 JOURNAL OF STATISTICAL PHYSICS 13962 5% 1% 79
9 MARKOV PROCESSES AND RELATED FIELDS 9554 1% 5% 10
10 CONSTRUCTIVE APPROXIMATION 7088 1% 2% 20

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 RANDOM SCHRODINGER OPERATORS 940774 4% 80% 66 Search RANDOM+SCHRODINGER+OPERATORS Search RANDOM+SCHRODINGER+OPERATORS
2 INTEGRATED DENSITY OF STATES 567994 2% 76% 42 Search INTEGRATED+DENSITY+OF+STATES Search INTEGRATED+DENSITY+OF+STATES
3 ABSOLUTELY CONTINUOUS SPECTRUM 563352 3% 61% 52 Search ABSOLUTELY+CONTINUOUS+SPECTRUM Search ABSOLUTELY+CONTINUOUS+SPECTRUM
4 WEGNER ESTIMATE 364317 1% 86% 24 Search WEGNER+ESTIMATE Search WEGNER+ESTIMATE
5 RANDOM OPERATORS 230521 2% 48% 27 Search RANDOM+OPERATORS Search RANDOM+OPERATORS
6 LIFSHITZ TAILS 197112 1% 70% 16 Search LIFSHITZ+TAILS Search LIFSHITZ+TAILS
7 JACOBI MATRICES 195941 2% 38% 29 Search JACOBI+MATRICES Search JACOBI+MATRICES
8 ANDERSON LOCALIZATION 148675 3% 18% 47 Search ANDERSON+LOCALIZATION Search ANDERSON+LOCALIZATION
9 LIMIT PERIODIC POTENTIAL 141682 0% 100% 8 Search LIMIT+PERIODIC+POTENTIAL Search LIMIT+PERIODIC+POTENTIAL
10 SCHRODINGER OPERATORS 130043 3% 16% 46 Search SCHRODINGER+OPERATORS Search SCHRODINGER+OPERATORS

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 -+ 183 70% 0
2 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 69 96% 5
3 GERMINET, F , KLEIN, A , (2004) A CHARACTERIZATION OF THE ANDERSON METAL-INSULATOR TRANSPORT TRANSITION.DUKE MATHEMATICAL JOURNAL. VOL. 124. ISSUE 2. P. 309-350 60 90% 39
4 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
5 TAUTENHAHN, M , VESELIC, I , (2014) MINAMI'S ESTIMATE: BEYOND RANK ONE PERTURBATION AND MONOTONICITY.ANNALES HENRI POINCARE. VOL. 15. ISSUE 4. P. 737-754 37 100% 5
6 GERMINET, F , KLEIN, A , SCHENKER, JH , (2007) DYNAMICAL DELOCALIZATION IN RANDOM LANDAU HAMILTONIANS.ANNALS OF MATHEMATICS. VOL. 166. ISSUE 1. P. 215-244 54 82% 8
7 GERMINET, F , KLEIN, A , (2006) NEW CHARACTERIZATIONS OF THE REGION OF COMPLETE LOCALIZATION FOR RANDOM SCHRODINGER OPERATORS.JOURNAL OF STATISTICAL PHYSICS. VOL. 122. ISSUE 1. P. 73-94 41 100% 38
8 WANG, YQ , ZHANG, ZH , (2015) UNIFORM POSITIVITY AND CONTINUITY OF LYAPUNOV EXPONENTS FOR A CLASS OF C-2 QUASIPERIODIC SCHRODINGER COCYCLES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 268. ISSUE 9. P. 2525 -2585 35 95% 2
9 LEONHARDT, K , PEYERIMHOFF, N , TAUTENHAHN, M , VESELIC, I , (2015) WEGNER ESTIMATE AND LOCALIZATION FOR ALLOY-TYPE MODELS WITH SIGN-CHANGING EXPONENTIALLY DECAYING SINGLE-SITE POTENTIALS.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 27. ISSUE 4. P. - 34 97% 1
10 BORISOV, D , VESELIC, I , (2013) LOW LYING EIGENVALUES OF RANDOMLY CURVED QUANTUM WAVEGUIDES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 265. ISSUE 11. P. 2877-2909 37 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
2 5258 TRACE MAP//QUASIREGULAR SYSTEMS//QUASIPERIODIC POTENTIALS
3 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE
4 28972 GFTC//THEORY CONTROL//FIS GERENCIA INVEST LICAC
5 25048 GROWTH PROPERTY//STATIONARY SCHRODINGER OPERATOR//STATIONARY SCHRODINGER EQUATION
6 18169 STRANGE NONCHAOTIC ATTRACTORS//QUASIPERIODICALLY FORCED SYSTEMS//ARNOLD RESONANCE WEB
7 11187 LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS
8 16438 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
9 7203 DOPPLER//TRAPPED MODES//POINT INTERACTIONS
10 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS

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