Class information for:
Level 1: FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28890 197 17.4 35%


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
28890 1                   FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE 197

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 FBI BARGMANN TRANSFORM authKW 620009 2% 100% 4
2 COMPLEX PERTURBATION authKW 413337 2% 67% 4
3 INFINITE CURVATURE authKW 348753 2% 75% 3
4 JWKB METHOD authKW 348753 2% 75% 3
5 LIEB THIRRING TYPE INEQUALITY authKW 348753 2% 75% 3
6 NORMALIZING NUMBERS authKW 348753 2% 75% 3
7 QUADRATIC DIFFERENTIAL OPERATOR authKW 310004 1% 100% 2
8 ZERO DIAGONAL JACOBI MATRIX authKW 310004 1% 100% 2
9 SPECTRAL GRAPH authKW 199285 2% 43% 3
10 NON SELF ADJOINT OPERATOR authKW 193745 3% 25% 5

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 5370 71% 0% 139
2 Mathematics, Applied 1122 30% 0% 60
3 Physics, Mathematical 952 20% 0% 39
4 Mathematics, Interdisciplinary Applications 16 3% 0% 5
5 Physics, Particles & Fields 12 4% 0% 7
6 Mechanics 10 4% 0% 7
7 Physics, Multidisciplinary 7 5% 0% 9
8 Engineering, General 3 2% 0% 3
9 Statistics & Probability 3 2% 0% 3
10 Computer Science, Software Engineering -0 1% 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 MATH METHODS MECH 155002 1% 100% 1
2 UMR 7460 123999 1% 40% 2
3 EQUIPE ANAL GEOMETRIEUMR 5251 77500 1% 50% 1
4 UMR7640 38749 1% 25% 1
5 CMLS 33396 3% 4% 5
6 FED STATE BUDGET EDUC HIGHER PROFESS EDUC 22141 1% 14% 1
7 UMR CNRS 6056 19374 1% 13% 1
8 MATH JEAN LERAY 13037 3% 2% 5
9 UMR 5584 11987 3% 2% 5
10 CNRS UMR 6625 9686 1% 6% 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 JOURNAL OF SPECTRAL THEORY 9172 2% 2% 3
2 ANNALES HENRI POINCARE 7666 4% 1% 7
3 MATHEMATICAL NOTES 4469 6% 0% 12
4 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 3996 1% 1% 2
5 DOKLADY MATHEMATICS 3233 4% 0% 8
6 LETTERS IN MATHEMATICAL PHYSICS 3109 4% 0% 8
7 ANALYSIS & PDE 1990 1% 1% 2
8 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 1949 3% 0% 6
9 JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 1922 1% 1% 2
10 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 1858 3% 0% 6

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 FBI BARGMANN TRANSFORM 620009 2% 100% 4 Search FBI+BARGMANN+TRANSFORM Search FBI+BARGMANN+TRANSFORM
2 COMPLEX PERTURBATION 413337 2% 67% 4 Search COMPLEX+PERTURBATION Search COMPLEX+PERTURBATION
3 INFINITE CURVATURE 348753 2% 75% 3 Search INFINITE+CURVATURE Search INFINITE+CURVATURE
4 JWKB METHOD 348753 2% 75% 3 Search JWKB+METHOD Search JWKB+METHOD
5 LIEB THIRRING TYPE INEQUALITY 348753 2% 75% 3 Search LIEB+THIRRING+TYPE+INEQUALITY Search LIEB+THIRRING+TYPE+INEQUALITY
6 NORMALIZING NUMBERS 348753 2% 75% 3 Search NORMALIZING+NUMBERS Search NORMALIZING+NUMBERS
7 QUADRATIC DIFFERENTIAL OPERATOR 310004 1% 100% 2 Search QUADRATIC+DIFFERENTIAL+OPERATOR Search QUADRATIC+DIFFERENTIAL+OPERATOR
8 ZERO DIAGONAL JACOBI MATRIX 310004 1% 100% 2 Search ZERO+DIAGONAL+JACOBI+MATRIX Search ZERO+DIAGONAL+JACOBI+MATRIX
9 SPECTRAL GRAPH 199285 2% 43% 3 Search SPECTRAL+GRAPH Search SPECTRAL+GRAPH
10 NON SELF ADJOINT OPERATOR 193745 3% 25% 5 Search NON+SELF+ADJOINT+OPERATOR Search NON+SELF+ADJOINT+OPERATOR

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 PARMEGGIANI, A , PRAVDA-STAROV, K , (2014) SEMICLASSICAL HYPOELLIPTIC ESTIMATES WITH A LOSS OF MANY DERIVATIVES.REVISTA MATEMATICA IBEROAMERICANA. VOL. 30. ISSUE 4. P. 1439 -1478 21 91% 0
2 DEMUTH, M , HANAUSKA, F , (2015) ON THE DISTRIBUTION OF THE DISCRETE SPECTRUM OF NUCLEARLY PERTURBED OPERATORS IN BANACH SPACES.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 46. ISSUE 4. P. 441 -462 14 100% 1
3 HANSMANN, M , (2015) ON NON-ROUND POINTS OF THE BOUNDARY OF THE NUMERICAL RANGE AND AN APPLICATION TO NON-SELFADJOINT SCHRODINGER OPERATORS.JOURNAL OF SPECTRAL THEORY. VOL. 5. ISSUE 4. P. 731 -750 14 93% 0
4 VIOLA, J , (2013) SPECTRAL PROJECTIONS AND RESOLVENT BOUNDS FOR PARTIALLY ELLIPTIC QUADRATIC DIFFERENTIAL OPERATORS.JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. VOL. 4. ISSUE 2. P. 145 -221 12 92% 2
5 FRANK, RL , LAPTEV, A , SAFRONOV, O , (2016) ON THE NUMBER OF EIGENVALUES OF SCHRODINGER OPERATORS WITH COMPLEX POTENTIALS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 94. ISSUE . P. 377 -390 12 80% 0
6 HITRIK, M , PRAVDA-STAROV, K , (2013) EIGENVALUES AND SUBELLIPTIC ESTIMATES FOR NON-SELFADJOINT SEMICLASSICAL OPERATORS WITH DOUBLE CHARACTERISTICS.ANNALES DE L INSTITUT FOURIER. VOL. 63. ISSUE 3. P. 985 -1032 11 85% 0
7 HANSMANN, M , (2014) ABSENCE OF EIGENVALUES OF NON-SELFADJOINT SCHRODINGER OPERATORS ON THE BOUNDARY OF THEIR NUMERICAL RANGE.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 142. ISSUE 4. P. 1321-1335 12 75% 0
8 DUBUISSON, C , (2014) ON QUANTITATIVE BOUNDS ON EIGENVALUES OF A COMPLEX PERTURBATION OF A DIRAC OPERATOR.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 78. ISSUE 2. P. 249-269 11 79% 2
9 SJOSTRAND, J , VOGEL, M , (2016) LARGE BIDIAGONAL MATRICES AND RANDOM PERTURBATIONS.JOURNAL OF SPECTRAL THEORY. VOL. 6. ISSUE 4. P. 977 -1020 10 77% 0
10 ENBLOM, A , (2016) ESTIMATES FOR EIGENVALUES OF SCHRODINGER OPERATORS WITH COMPLEX-VALUED POTENTIALS.LETTERS IN MATHEMATICAL PHYSICS. VOL. 106. ISSUE 2. P. 197 -220 8 89% 1

Classes with closest relation at Level 1


Rank Class id link
1 17525 COMPLEX VECTOR FIELDS//NON COMMUTATIVE HARMONIC OSCILLATOR//HYPOELLIPTICITY
2 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
3 14498 PRIME ORBIT THEOREM//1D DIRAC//RESONANCES
4 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
5 25007 NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD
6 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
7 24654 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//RANDOM POLYNOMIALS
8 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
9 14256 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
10 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS

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