Class information for:
Level 3: MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
549 18286 20.1 36%


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
1949 2             STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM 5724
2891 2             BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY 2822

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 MATHEMATICS WoSSC 298949 55% 2% 10064
2 STURM LIOUVILLE OPERATOR authKW 166441 1% 73% 137
3 ANNALES HENRI POINCARE journal 163740 2% 32% 312
4 INVERSE SPECTRAL PROBLEM authKW 163296 1% 79% 124
5 STURM LIOUVILLE PROBLEM authKW 152172 1% 52% 177
6 SCHRODINGER OPERATOR authKW 151825 1% 42% 219
7 COMMUNICATIONS IN MATHEMATICAL PHYSICS journal 128404 4% 10% 794
8 ABSOLUTELY CONTINUOUS SPECTRUM authKW 122452 0% 93% 79
9 PHYSICS, MATHEMATICAL WoSSC 114229 22% 2% 4097
10 SCHRODINGER OPERATORS authKW 105404 1% 47% 135

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 298949 55% 2% 10064
2 Physics, Mathematical 114229 22% 2% 4097
3 Mathematics, Applied 90197 28% 1% 5202
4 Physics, Multidisciplinary 5677 10% 0% 1770
5 Multidisciplinary Sciences 1159 2% 0% 294
6 Physics, Particles & Fields 446 3% 0% 478
7 Mechanics 247 2% 0% 434
8 Mathematics, Interdisciplinary Applications 76 1% 0% 175
9 Physics, Fluids & Plasmas 35 1% 0% 167
10 Engineering, Ocean 2 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 MATH 102171 28% 1% 5188
2 DOPPLER 75602 0% 60% 75
3 UMR 8088 29999 0% 35% 52
4 STAT MECH MATH PHYS 28668 0% 90% 19
5 ANAL TECH MATH 25264 0% 63% 24
6 DOPPLER MATH PHYS PL MATH 23323 0% 50% 28
7 UMR 6629 22808 0% 22% 63
8 BRANCH HYDROACOUST 14411 0% 79% 11
9 FB MATH 08 13343 0% 100% 8
10 MATH 253 37 12055 0% 32% 23

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 163740 2% 32% 312
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 128404 4% 10% 794
3 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 82498 2% 14% 347
4 DIFFERENTIAL EQUATIONS 79035 2% 11% 422
5 JOURNAL OF SPECTRAL THEORY 73707 0% 54% 82
6 REVIEWS IN MATHEMATICAL PHYSICS 71458 1% 23% 191
7 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 65311 1% 26% 152
8 JOURNAL OF FUNCTIONAL ANALYSIS 58292 3% 7% 479
9 INTEGRAL EQUATIONS AND OPERATOR THEORY 55648 1% 12% 274
10 JOURNAL OF MATHEMATICAL PHYSICS 49038 4% 4% 691

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 STURM LIOUVILLE OPERATOR 166441 1% 73% 137 Search STURM+LIOUVILLE+OPERATOR Search STURM+LIOUVILLE+OPERATOR
2 INVERSE SPECTRAL PROBLEM 163296 1% 79% 124 Search INVERSE+SPECTRAL+PROBLEM Search INVERSE+SPECTRAL+PROBLEM
3 STURM LIOUVILLE PROBLEM 152172 1% 52% 177 Search STURM+LIOUVILLE+PROBLEM Search STURM+LIOUVILLE+PROBLEM
4 SCHRODINGER OPERATOR 151825 1% 42% 219 Search SCHRODINGER+OPERATOR Search SCHRODINGER+OPERATOR
5 ABSOLUTELY CONTINUOUS SPECTRUM 122452 0% 93% 79 Search ABSOLUTELY+CONTINUOUS+SPECTRUM Search ABSOLUTELY+CONTINUOUS+SPECTRUM
6 SCHRODINGER OPERATORS 105404 1% 47% 135 Search SCHRODINGER+OPERATORS Search SCHRODINGER+OPERATORS
7 WEYL FUNCTION 104219 0% 83% 75 Search WEYL+FUNCTION Search WEYL+FUNCTION
8 RANDOM SCHRODINGER OPERATORS 94030 0% 83% 68 Search RANDOM+SCHRODINGER+OPERATORS Search RANDOM+SCHRODINGER+OPERATORS
9 DISCRETE SPECTRUM 92397 1% 60% 93 Search DISCRETE+SPECTRUM Search DISCRETE+SPECTRUM
10 ESSENTIAL SPECTRUM 67181 1% 37% 108 Search ESSENTIAL+SPECTRUM Search ESSENTIAL+SPECTRUM

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 -414 118 72% 1
3 ECKHARDT, J , GESZTESY, F , NICHOLS, R , TESCHL, G , (2014) SUPERSYMMETRY AND SCHRODINGER-TYPE OPERATORS WITH DISTRIBUTIONAL MATRIX-VALUED POTENTIALS.JOURNAL OF SPECTRAL THEORY. VOL. 4. ISSUE 4. P. 715 -768 72 91% 7
4 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
5 SIMON, B , (2000) SCHRODINGER OPERATORS IN THE TWENTIETH CENTURY.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 41. ISSUE 6. P. 3523 -3555 83 86% 76
6 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
7 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
8 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
9 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
10 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

Classes with closest relation at Level 3


Rank Class id link
1 516 PT SYMMETRY//PHYSICS, MATHEMATICAL//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
2 244 MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP
3 94 MATHEMATICS//MATHEMATICS, APPLIED//MATH
4 437 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS
5 404 MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED
6 460 POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS
7 485 LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED
8 249 MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH
9 299 PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION
10 656 QUASICRYSTALS//APPROXIMANT//DECAGONAL QUASICRYSTAL

Go to start page