Class information for:
Level 1: LEVY SYSTEM//DIRICHLET FORM//SYMMETRIC STABLE PROCESS

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
550 3       FRACTIONAL BROWNIAN MOTION//MALLIAVIN CALCULUS//STOCHASTIC DIFFERENTIAL EQUATIONS 18599
639 2             FRACTIONAL BROWNIAN MOTION//MALLIAVIN CALCULUS//STOCHASTIC DIFFERENTIAL EQUATIONS 14085
6654 1                   LEVY SYSTEM//DIRICHLET FORM//SYMMETRIC STABLE PROCESS 1487

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LEVY SYSTEM authKW 544960 2% 86% 30
2 DIRICHLET FORM authKW 541684 7% 25% 101
3 SYMMETRIC STABLE PROCESS authKW 521648 3% 62% 40
4 POTENTIAL ANALYSIS journal 510415 11% 15% 158
5 SUBORDINATE BROWNIAN MOTION authKW 495086 2% 81% 29
6 BOUNDARY HARNACK PRINCIPLE authKW 456998 2% 74% 29
7 INTRINSIC ULTRACONTRACTIVITY authKW 368572 1% 87% 20
8 SYMMETRIC MARKOV PROCESS authKW 353697 1% 76% 22
9 MARTIN KERNEL authKW 339083 1% 80% 20
10 KATO CLASS authKW 324036 2% 53% 29

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 43355 73% 0% 1087
2 Statistics & Probability 12430 23% 0% 335
3 Mathematics, Applied 2646 18% 0% 263
4 Physics, Mathematical 43 2% 0% 33
5 Multidisciplinary Sciences -0 0% 0% 4
6 Mathematics, Interdisciplinary Applications -3 0% 0% 3
7 Mathematical & Computational Biology -3 0% 0% 1
8 Automation & Control Systems -5 0% 0% 1
9 Physics, Fluids & Plasmas -5 0% 0% 2
10 Computer Science, Information Systems -8 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BRANCH MATH SCI 115382 0% 78% 7
2 3MB 27878 0% 26% 5
3 FAK MATH 24102 5% 2% 69
4 CNRS UMR6620 21193 0% 100% 1
5 EMMY NOETHER PROGRAMME DFG 21193 0% 100% 1
6 GRP POSDRU PROJECT 21193 0% 100% 1
7 LEHRSTUHL IV 21193 0% 100% 1
8 MATEMAT PL ANAL 21193 0% 100% 1
9 MIHAI EMINESCU GYMNASIAL 21193 0% 100% 1
10 PL MATH PROBABIL THEORY STAT 21193 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POTENTIAL ANALYSIS 510415 11% 15% 158
2 PROBABILITY THEORY AND RELATED FIELDS 42657 5% 3% 69
3 JOURNAL OF FUNCTIONAL ANALYSIS 26883 6% 1% 92
4 ANNALS OF PROBABILITY 23336 4% 2% 60
5 OSAKA JOURNAL OF MATHEMATICS 22764 3% 2% 45
6 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 15720 1% 4% 21
7 FORUM MATHEMATICUM 12485 2% 2% 28
8 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 12290 3% 1% 45
9 JOURNAL OF THEORETICAL PROBABILITY 8548 1% 2% 22
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 7585 4% 1% 58

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LEVY SYSTEM 544960 2% 86% 30 Search LEVY+SYSTEM Search LEVY+SYSTEM
2 DIRICHLET FORM 541684 7% 25% 101 Search DIRICHLET+FORM Search DIRICHLET+FORM
3 SYMMETRIC STABLE PROCESS 521648 3% 62% 40 Search SYMMETRIC+STABLE+PROCESS Search SYMMETRIC+STABLE+PROCESS
4 SUBORDINATE BROWNIAN MOTION 495086 2% 81% 29 Search SUBORDINATE+BROWNIAN+MOTION Search SUBORDINATE+BROWNIAN+MOTION
5 BOUNDARY HARNACK PRINCIPLE 456998 2% 74% 29 Search BOUNDARY+HARNACK+PRINCIPLE Search BOUNDARY+HARNACK+PRINCIPLE
6 INTRINSIC ULTRACONTRACTIVITY 368572 1% 87% 20 Search INTRINSIC+ULTRACONTRACTIVITY Search INTRINSIC+ULTRACONTRACTIVITY
7 SYMMETRIC MARKOV PROCESS 353697 1% 76% 22 Search SYMMETRIC+MARKOV+PROCESS Search SYMMETRIC+MARKOV+PROCESS
8 MARTIN KERNEL 339083 1% 80% 20 Search MARTIN+KERNEL Search MARTIN+KERNEL
9 KATO CLASS 324036 2% 53% 29 Search KATO+CLASS Search KATO+CLASS
10 RIGHT PROCESS 318773 1% 79% 19 Search RIGHT+PROCESS Search RIGHT+PROCESS

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 12425 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS
2 33358 FELLER CONTINUITY//REGIME SWITCHING DIFFUSIONS//STRONG FELLER CONTINUITY
3 14412 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
4 18554 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
5 13873 GROMOV HYPERBOLICITY//STOCHASTIC COMPLETENESS//INFINITE GRAPHS
6 23545 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//HADAMARD FORMULA
7 10413 SELF SIMILAR MARKOV PROCESS//BESSEL PROCESS//EXPONENTIAL FUNCTIONAL
8 12911 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//LOGARITHMIC SOBOLEV INEQUALITIES
9 12040 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
10 18848 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES

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