Class information for:
Level 1: SUPERPROCESS//SUPER BROWNIAN MOTION//BRANCHING PARTICLE SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9797 1119 18.4 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
9797 1                   SUPERPROCESS//SUPER BROWNIAN MOTION//BRANCHING PARTICLE SYSTEM 1119

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 SUPERPROCESS authKW 2800873 11% 84% 122
2 SUPER BROWNIAN MOTION authKW 2118805 8% 84% 92
3 BRANCHING PARTICLE SYSTEM authKW 733548 3% 79% 34
4 MEASURE VALUED PROCESS authKW 719020 5% 47% 56
5 EXIT MEASURE authKW 349261 1% 80% 16
6 MARTINGALE PROBLEM authKW 338382 4% 31% 40
7 BROWNIAN SNAKE authKW 334242 2% 58% 21
8 FLEMING VIOT PROCESS authKW 300696 2% 48% 23
9 CATALYTIC SUPER BROWNIAN MOTION authKW 300151 1% 100% 11
10 MUTUALLY CATALYTIC BRANCHING authKW 300151 1% 100% 11

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 Statistics & Probability 68942 60% 0% 673
2 Mathematics 5586 31% 0% 349
3 Mathematics, Applied 1952 18% 0% 196
4 Physics, Mathematical 56 3% 0% 30
5 Mathematical & Computational Biology 0 0% 0% 5
6 Transportation -0 0% 0% 1
7 Multidisciplinary Sciences -0 0% 0% 3
8 Computer Science, Software Engineering -0 0% 0% 5
9 Social Sciences, Mathematical Methods -0 0% 0% 1
10 Transportation Science & Technology -0 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 LMAM MATH SCI 211661 1% 48% 16
2 HBEREICH MATH 12 54573 0% 100% 2
3 INVEST ESTUDIOS AVANZADOS MATEMAT 36381 0% 67% 2
4 AG WAHR EINLICHKEITSTHEORIE 27286 0% 100% 1
5 CNRS UA 743 27286 0% 100% 1
6 COORD INDICES PRECOS 27286 0% 100% 1
7 CYBERNET MATEMAT 27286 0% 100% 1
8 DIPARTIMENTO MATEMAT LE DECIS 27286 0% 100% 1
9 PROBABIL CNRS UA 0224 27286 0% 100% 1
10 PROBABIL URA CNRS 224 27286 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 ANNALS OF PROBABILITY 152759 12% 4% 134
2 PROBABILITY THEORY AND RELATED FIELDS 126903 9% 4% 104
3 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 106448 10% 3% 115
4 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 37365 4% 3% 41
5 JOURNAL OF THEORETICAL PROBABILITY 19968 3% 3% 29
6 ELECTRONIC JOURNAL OF PROBABILITY 19316 2% 3% 27
7 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 14088 2% 3% 18
8 ABEL SYMPOSIA 11630 2% 2% 21
9 MATHEMATISCHE NACHRICHTEN 10844 4% 1% 40
10 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 8991 1% 2% 14

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 SUPERPROCESS 2800873 11% 84% 122 Search SUPERPROCESS Search SUPERPROCESS
2 SUPER BROWNIAN MOTION 2118805 8% 84% 92 Search SUPER+BROWNIAN+MOTION Search SUPER+BROWNIAN+MOTION
3 BRANCHING PARTICLE SYSTEM 733548 3% 79% 34 Search BRANCHING+PARTICLE+SYSTEM Search BRANCHING+PARTICLE+SYSTEM
4 MEASURE VALUED PROCESS 719020 5% 47% 56 Search MEASURE+VALUED+PROCESS Search MEASURE+VALUED+PROCESS
5 EXIT MEASURE 349261 1% 80% 16 Search EXIT+MEASURE Search EXIT+MEASURE
6 MARTINGALE PROBLEM 338382 4% 31% 40 Search MARTINGALE+PROBLEM Search MARTINGALE+PROBLEM
7 BROWNIAN SNAKE 334242 2% 58% 21 Search BROWNIAN+SNAKE Search BROWNIAN+SNAKE
8 FLEMING VIOT PROCESS 300696 2% 48% 23 Search FLEMING+VIOT+PROCESS Search FLEMING+VIOT+PROCESS
9 CATALYTIC SUPER BROWNIAN MOTION 300151 1% 100% 11 Search CATALYTIC+SUPER+BROWNIAN+MOTION Search CATALYTIC+SUPER+BROWNIAN+MOTION
10 MUTUALLY CATALYTIC BRANCHING 300151 1% 100% 11 Search MUTUALLY+CATALYTIC+BRANCHING Search MUTUALLY+CATALYTIC+BRANCHING

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 ECKHOFF, M , KYPRIANOU, AE , WINKEL, M , (2015) SPINES, SKELETONS AND THE STRONG LAW OF LARGE NUMBERS FOR SUPERDIFFUSIONS.ANNALS OF PROBABILITY. VOL. 43. ISSUE 5. P. 2545 -2610 34 87% 0
2 MSELATI, B , (2004) CLASSIFICATION AND PROBABILISTIC REPRESENTATION OF THE POSITIVE SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 168. ISSUE 798. P. VI-+ 33 94% 3
3 BOJDECKI, T , GOROSTIZA, LG , TALARCZYK, A , (2009) OCCUPATION TIMES OF BRANCHING SYSTEMS WITH INITIAL INHOMOGENEOUS POISSON STATES AND RELATED SUPERPROCESSES.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 14. ISSUE . P. 1328 -1371 28 78% 3
4 FATHEDDIN, P , (2015) CENTRAL LIMIT THEOREM FOR A CLASS OF SPDES.JOURNAL OF APPLIED PROBABILITY. VOL. 52. ISSUE 3. P. 786 -796 17 100% 0
5 REN, YX , SONG, RM , ZHANG, R , (2017) FUNCTIONAL CENTRAL LIMIT THEOREMS FOR SUPERCRITICAL SUPERPROCESSES.ACTA APPLICANDAE MATHEMATICAE. VOL. 147. ISSUE 1. P. 137 -175 18 90% 0
6 COX, JT , DAWSON, DA , GREVEN, A , (2004) MUTUALLY CATALYTIC SUPER BRANCHING RANDOM WALKS: LARGE FINITE SYSTEMS AND RENORMALIZATION ANALYSIS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 171. ISSUE 809. P. 1-+ 21 100% 3
7 DA SILVA, TT , FRAGOSO, MD , (2015) ON THE DIFFERENTIAL EQUATION SATISFIED BY THE RANDOM MEASURE DENSITY OF A JUMP-TYPE FLEMING-VIOT PROCESS.STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS. VOL. 87. ISSUE 1. P. 71 -84 23 68% 0
8 BOJDECKI, T , TALARCZYK, A , (2005) PARTICLE PICTURE APPROACH TO THE SELF-INTERSECTION LOCAL TIME OF DENSITY PROCESSES IN J '(R-D).STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 115. ISSUE 3. P. 449 -479 22 88% 2
9 DAWSON, DA , ETHERIDGE, AM , FLEISCHMANN, K , MYTNIK, L , PERKINS, EA , XIONG, J , (2002) MUTUALLY CATALYTIC BRANCHING IN THE PLANE: FINITE MEASURE STATES.ANNALS OF PROBABILITY. VOL. 30. ISSUE 4. P. 1681-1762 22 96% 4
10 DAWSON, DA , GREVEN, A , DEN HOLLANDER, F , SUN, RF , SWART, JM , (2008) THE RENORMALIZATION TRANSFORMATION FOR TWO-TYPE BRANCHING MODELS.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 44. ISSUE 6. P. 1038 -1077 17 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 16147 WRIGHT FISHER MODEL//LAMBDA COALESCENT//COALESCENT
2 7281 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION
3 6796 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION
4 10493 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
5 19003 BRANCHING PROCESS//BISEXUAL GALTON WATSON BRANCHING PROCESS//CONTROLLED BRANCHING PROCESSES
6 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
7 11654 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS
8 6061 DIRICHLET FORM//LEVY SYSTEM//POTENTIAL ANALYSIS
9 21686 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
10 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY

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