Class information for:
Level 1: DIRICHLET FORM//LEVY SYSTEM//POTENTIAL ANALYSIS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6061 1537 21.3 40%


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
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
499 2             FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME 15343
6061 1                   DIRICHLET FORM//LEVY SYSTEM//POTENTIAL ANALYSIS 1537

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 DIRICHLET FORM authKW 640428 7% 29% 112
2 LEVY SYSTEM authKW 506254 2% 88% 29
3 POTENTIAL ANALYSIS journal 422773 9% 15% 146
4 SYMMETRIC STABLE PROCESS authKW 422024 2% 59% 36
5 SUBORDINATE BROWNIAN MOTION authKW 387980 2% 78% 25
6 BOUNDARY HARNACK PRINCIPLE authKW 353374 2% 68% 26
7 INTRINSIC ULTRACONTRACTIVITY authKW 345476 1% 87% 20
8 SYMMETRIC MARKOV PROCESS authKW 343374 1% 79% 22
9 STABLE LIKE PROCESS authKW 321812 1% 90% 18
10 RIGHT PROCESS authKW 279832 1% 78% 18

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 41698 70% 0% 1082
2 Statistics & Probability 12614 22% 0% 343
3 Mathematics, Applied 4669 23% 0% 348
4 Physics, Mathematical 40 2% 0% 33
5 Multidisciplinary Sciences -0 0% 0% 3
6 Computer Science, Software Engineering -0 0% 0% 6
7 Social Sciences, Mathematical Methods -1 0% 0% 1
8 Mathematics, Interdisciplinary Applications -1 0% 0% 5
9 Materials Science, Composites -2 0% 0% 1
10 Business, Finance -2 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 BRANCH MATH SCI 121672 0% 88% 7
2 STOCHAST CHAOT PROC SCI TECHNOL 44683 1% 25% 9
3 FAK MATH 23676 4% 2% 69
4 HRICHTUNG MATH 23572 1% 8% 14
5 MATH STOCHAST 21131 2% 4% 26
6 MATH 20515 43% 0% 663
7 CAMILLE JORDANUNIV LYON 19865 0% 100% 1
8 COMPUTO CIENTI ESTADIST 19865 0% 100% 1
9 EMMY NOETHER PROGRAMME DFG 19865 0% 100% 1
10 GRP POSDRU PROJECT 19865 0% 100% 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 POTENTIAL ANALYSIS 422773 9% 15% 146
2 PROBABILITY THEORY AND RELATED FIELDS 38274 4% 3% 67
3 JOURNAL OF FUNCTIONAL ANALYSIS 25818 6% 1% 92
4 OSAKA JOURNAL OF MATHEMATICS 22681 3% 2% 46
5 ANNALS OF PROBABILITY 20756 4% 2% 58
6 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 18966 4% 2% 57
7 FORUM MATHEMATICUM 15942 2% 3% 32
8 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 13361 1% 3% 20
9 JOURNAL OF THEORETICAL PROBABILITY 9125 1% 2% 23
10 JOURNAL OF EVOLUTION EQUATIONS 8452 1% 3% 15

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 DIRICHLET FORM 640428 7% 29% 112 Search DIRICHLET+FORM Search DIRICHLET+FORM
2 LEVY SYSTEM 506254 2% 88% 29 Search LEVY+SYSTEM Search LEVY+SYSTEM
3 SYMMETRIC STABLE PROCESS 422024 2% 59% 36 Search SYMMETRIC+STABLE+PROCESS Search SYMMETRIC+STABLE+PROCESS
4 SUBORDINATE BROWNIAN MOTION 387980 2% 78% 25 Search SUBORDINATE+BROWNIAN+MOTION Search SUBORDINATE+BROWNIAN+MOTION
5 BOUNDARY HARNACK PRINCIPLE 353374 2% 68% 26 Search BOUNDARY+HARNACK+PRINCIPLE Search BOUNDARY+HARNACK+PRINCIPLE
6 INTRINSIC ULTRACONTRACTIVITY 345476 1% 87% 20 Search INTRINSIC+ULTRACONTRACTIVITY Search INTRINSIC+ULTRACONTRACTIVITY
7 SYMMETRIC MARKOV PROCESS 343374 1% 79% 22 Search SYMMETRIC+MARKOV+PROCESS Search SYMMETRIC+MARKOV+PROCESS
8 STABLE LIKE PROCESS 321812 1% 90% 18 Search STABLE+LIKE+PROCESS Search STABLE+LIKE+PROCESS
9 RIGHT PROCESS 279832 1% 78% 18 Search RIGHT+PROCESS Search RIGHT+PROCESS
10 SYMMETRIC ALPHA STABLE PROCESS 257442 1% 72% 18 Search SYMMETRIC+ALPHA+STABLE+PROCESS Search SYMMETRIC+ALPHA+STABLE+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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 KALETA, K , LORINCZI, J , (2015) POINTWISE EIGENFUNCTION ESTIMATES AND INTRINSIC ULTRACONTRACTIVITY-TYPE PROPERTIES OF FEYNMAN-KAC SEMIGROUPS FOR A CLASS OF LEVY PROCESSES.ANNALS OF PROBABILITY. VOL. 43. ISSUE 3. P. 1350 -1398 45 87% 1
2 BOGDAN, K , KUMAGAI, T , KWASNICKI, M , (2015) BOUNDARY HARNACK INEQUALITY FOR MARKOV PROCESSES WITH JUMPS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 1. P. 477 -517 36 75% 6
3 KIM, D , KUWAE, K , TAWARA, Y , (2016) LARGE DEVIATION PRINCIPLES FOR GENERALIZED FEYNMAN-KAC FUNCTIONALS AND ITS APPLICATIONS.TOHOKU MATHEMATICAL JOURNAL. VOL. 68. ISSUE 2. P. 161 -197 28 100% 0
4 BOGDAN, K , JAKUBOWSKI, T , (2012) ESTIMATES OF THE GREEN FUNCTION FOR THE FRACTIONAL LAPLACIAN PERTURBED BY GRADIENT.POTENTIAL ANALYSIS. VOL. 36. ISSUE 3. P. 455-481 31 94% 7
5 BOGDAN, K , GRZYWNY, T , (2010) HEAT KERNEL OF FRACTIONAL LAPLACIAN IN CONES.COLLOQUIUM MATHEMATICUM. VOL. 118. ISSUE 2. P. 365-377 33 85% 5
6 BOGDAN, K , GRZYWNY, T , RYZNAR, M , (2010) HEAT KERNEL ESTIMATES FOR THE FRACTIONAL LAPLACIAN WITH DIRICHLET CONDITIONS.ANNALS OF PROBABILITY. VOL. 38. ISSUE 5. P. 1901 -1923 27 93% 28
7 CHEN, ZQ , KIM, P , (2016) GLOBAL DIRICHLET HEAT KERNEL ESTIMATES FOR SYMMETRIC LEVY PROCESSES IN HALF-SPACE.ACTA APPLICANDAE MATHEMATICAE. VOL. 146. ISSUE 1. P. 113 -143 25 93% 0
8 JAKUBOWSKI, T , SZCZYPKOWSKI, K , (2010) TIME-DEPENDENT GRADIENT PERTURBATIONS OF FRACTIONAL LAPLACIAN.JOURNAL OF EVOLUTION EQUATIONS. VOL. 10. ISSUE 2. P. 319-339 27 93% 10
9 CHEN, ZQ , KIM, P , SONG, RM , (2012) SHARP HEAT KERNEL ESTIMATES FOR RELATIVISTIC STABLE PROCESSES IN OPEN SETS.ANNALS OF PROBABILITY. VOL. 40. ISSUE 1. P. 213-244 27 84% 12
10 KWASNICKI, M , (2009) INTRINSIC ULTRACONTRACTIVITY FOR STABLE SEMIGROUPS ON UNBOUNDED OPEN SETS.POTENTIAL ANALYSIS. VOL. 31. ISSUE 1. P. 57 -77 25 100% 7

Classes with closest relation at Level 1


Rank Class id link
1 24807 FINELY SUPERHARMONIC FUNCTION//PWB SOLUTION//HOMOGENEOUS RANDOM MEASURE
2 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
3 25048 GROWTH PROPERTY//STATIONARY SCHRODINGER OPERATOR//STATIONARY SCHRODINGER EQUATION
4 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
5 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
6 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
7 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
8 21686 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
9 22718 FOR UNGSZENTRUM BIBOS//BIBOS//EUCLIDEAN GIBBS STATES
10 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY

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