Class information for:
Level 1: FEYNMAN FORMULA//FEYNMAN PATH INTEGRAL//FEYNMAN MEASURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18955 528 19.7 30%


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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
52 3       PHYSICS, PARTICLES & FIELDS//JOURNAL OF HIGH ENERGY PHYSICS//NUCLEAR PHYSICS B 91295
3369 2             P ADIC NUMBERS//GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION 1678
18955 1                   FEYNMAN FORMULA//FEYNMAN PATH INTEGRAL//FEYNMAN MEASURE 528

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 FEYNMAN FORMULA authKW 468429 2% 90% 9
2 FEYNMAN PATH INTEGRAL authKW 426038 4% 39% 19
3 FEYNMAN MEASURE authKW 354213 1% 88% 7
4 HIGHER ORDER HEAT TYPE EQUATIONS authKW 346986 1% 100% 6
5 PSEUDO PROCESS authKW 314855 1% 78% 7
6 INFINITE DIMENSIONAL OSCILLATORY INTEGRALS authKW 231324 1% 100% 4
7 CHERNOFFS THEOREM authKW 206536 1% 71% 5
8 CHERNOFF THEOREM authKW 185058 1% 80% 4
9 APPROXIMATIONS OF FUNCTIONAL INTEGRALS authKW 173493 1% 100% 3
10 HIGHER ORDER HEAT EQUATIONS authKW 173493 1% 100% 3

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 Physics, Mathematical 6789 32% 0% 168
2 Mathematics 4937 42% 0% 222
3 Statistics & Probability 1030 11% 0% 59
4 Mathematics, Applied 435 13% 0% 66
5 Physics, Multidisciplinary 316 13% 0% 67
6 Physics, Particles & Fields 63 5% 0% 24
7 Multidisciplinary Sciences 49 2% 0% 10
8 Physics, Nuclear 40 3% 0% 18
9 Mechanics 2 2% 0% 9
10 Computer Science, Interdisciplinary Applications 1 1% 0% 6

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 DIPARTIMENTO STATIST PROBABIL STAT PLICATE 115662 0% 100% 2
2 MECH MATH 105391 14% 2% 76
3 ABT WAHR EINLICHKEITSTHEORIE STAT 77107 0% 67% 2
4 ABT WAHR MATH STAT 57831 0% 100% 1
5 BIBOS CERFIM LOCARNO 57831 0% 100% 1
6 CAREER PLANNING COMMUN 57831 0% 100% 1
7 HUMAN SYST INTEGRAT LAND OPERAT 57831 0% 100% 1
8 MOSCOW PHYS THECHNOL 57831 0% 100% 1
9 NN BOGOLYUBOV THEORET PROBLEMS MICROCOSM 57831 0% 100% 1
10 PDMI RAS 57831 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 DOKLADY MATHEMATICS 65823 11% 2% 59
2 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 57851 5% 4% 28
3 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 33313 4% 3% 19
4 MATHEMATICAL NOTES 12611 6% 1% 33
5 REVIEWS IN MATHEMATICAL PHYSICS 6800 2% 1% 10
6 THEORETICAL AND MATHEMATICAL PHYSICS 5055 4% 0% 21
7 JOURNAL OF MATHEMATICAL PHYSICS 3017 5% 0% 29
8 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 2729 1% 1% 7
9 LETTERS IN MATHEMATICAL PHYSICS 2599 2% 0% 12
10 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 2438 2% 0% 12

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 FEYNMAN FORMULA 468429 2% 90% 9 Search FEYNMAN+FORMULA Search FEYNMAN+FORMULA
2 FEYNMAN PATH INTEGRAL 426038 4% 39% 19 Search FEYNMAN+PATH+INTEGRAL Search FEYNMAN+PATH+INTEGRAL
3 FEYNMAN MEASURE 354213 1% 88% 7 Search FEYNMAN+MEASURE Search FEYNMAN+MEASURE
4 HIGHER ORDER HEAT TYPE EQUATIONS 346986 1% 100% 6 Search HIGHER+ORDER+HEAT+TYPE+EQUATIONS Search HIGHER+ORDER+HEAT+TYPE+EQUATIONS
5 PSEUDO PROCESS 314855 1% 78% 7 Search PSEUDO+PROCESS Search PSEUDO+PROCESS
6 INFINITE DIMENSIONAL OSCILLATORY INTEGRALS 231324 1% 100% 4 Search INFINITE+DIMENSIONAL+OSCILLATORY+INTEGRALS Search INFINITE+DIMENSIONAL+OSCILLATORY+INTEGRALS
7 CHERNOFFS THEOREM 206536 1% 71% 5 Search CHERNOFFS+THEOREM Search CHERNOFFS+THEOREM
8 CHERNOFF THEOREM 185058 1% 80% 4 Search CHERNOFF+THEOREM Search CHERNOFF+THEOREM
9 APPROXIMATIONS OF FUNCTIONAL INTEGRALS 173493 1% 100% 3 Search APPROXIMATIONS+OF+FUNCTIONAL+INTEGRALS Search APPROXIMATIONS+OF+FUNCTIONAL+INTEGRALS
10 HIGHER ORDER HEAT EQUATIONS 173493 1% 100% 3 Search HIGHER+ORDER+HEAT+EQUATIONS Search HIGHER+ORDER+HEAT+EQUATIONS

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) INTRODUCTION.MATHEMATICAL THEORY OF FEYNMAN PATH INTEGRALS: AN INTRODUCTION. VOL. 523. ISSUE . P. 1 -+ 76 40% 0
2 BUTKO, YA , GROTHAUS, M , SMOLYANOV, OG , (2016) FEYNMAN FORMULAE AND PHASE SPACE FEYNMAN PATH INTEGRALS FOR TAU-QUANTIZATION OF SOME LEVY-KHINTCHINE TYPE HAMILTON FUNCTIONS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 57. ISSUE 2. P. - 25 76% 0
3 ALBEVERIO, S , MAZZUCCHI, S , (2016) A UNIFIED APPROACH TO INFINITE-DIMENSIONAL INTEGRATION.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 28. ISSUE 2. P. - 25 74% 0
4 BOTTCHER, B , BUTKO, YA , SCHILLING, RL , SMOLYANOV, OG , (2011) FEYNMAN FORMULAS AND PATH INTEGRALS FOR SOME EVOLUTION SEMIGROUPS RELATED TO TAU-QUANTIZATION.RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. VOL. 18. ISSUE 4. P. 387 -399 19 76% 6
5 ALBEVERIO, S , MAZZUCCHI, S , (2006) THE TIME-DEPENDENT QUARTIC OSCILLATOR - A FEYNMAN PATH INTEGRAL APPROACH.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 238. ISSUE 2. P. 471-488 18 86% 8
6 ORLOV, YN , SAKBAEV, VZ , SMOLYANOV, OG , (2016) UNBOUNDED RANDOM OPERATORS AND FEYNMAN FORMULAE.IZVESTIYA MATHEMATICS. VOL. 80. ISSUE 6. P. 1131 -1158 13 93% 0
7 LACHAL, A , (2014) FIRST EXIT TIME FROM A BOUNDED INTERVAL FOR PSEUDO-PROCESSES DRIVEN BY THE EQUATION PARTIAL DERIVATIVE/PARTIAL DERIVATIVE T = (-1)(N-1)PARTIAL DERIVATIVE(2N)/PARTIAL DERIVATIVE X(2N).STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 124. ISSUE 2. P. 1084-1111 12 100% 1
8 FADDEEV, MM , IBRAGIMOV, IA , SMORODINA, NV , (2016) A STOCHASTIC INTERPRETATION OF THE CAUCHY PROBLEM SOLUTION FOR THE EQUATION PARTIAL DERIVATIVE(T)U = (SIGMA(2)/2)DELTA U PLUS V(X)U WITH COMPLEX SIGMA.MARKOV PROCESSES AND RELATED FIELDS. VOL. 22. ISSUE 2. P. 203 -226 11 100% 0
9 LACHAL, A , (2012) A SURVEY ON THE PSEUDO-PROCESS DRIVEN BY THE HIGH-ORDER HEAT-TYPE EQUATION CONCERNING THE HITTING AND SOJOURN TIMES.METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY. VOL. 14. ISSUE 3. P. 549 -566 11 100% 2
10 ALBEVERIO, S , MAZZUCCHI, S , (2005) GENERALIZED FRESNEL INTEGRALS.BULLETIN DES SCIENCES MATHEMATIQUES. VOL. 129. ISSUE 1. P. 1-23 14 82% 11

Classes with closest relation at Level 1


Rank Class id link
1 23398 GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION//FOURIER FEYNMAN TRANSFORM
2 19294 WICK PRODUCT//WHITE NOISE ANALYSIS//LEVY LAPLACIAN
3 28753 NON RELATIVISTIC SPINORS//SPACETIME INVERSION//ANISOTROPIC SPIN SYSTEM
4 32684 BOUNDARY MINIMUM POINT//LAMIE//UNITE MIXTE RECH PHYS THEOR
5 21408 SUPERMANIFOLDS//LIE SUPERGROUP//ALGEBRAIC SUPERGROUPS
6 24091 MPCS//CNRSUMR7575//FEYNMAN CHECKERBOARD
7 16115 KEPLER PROBLEM//GENERAL MECHANICS//PERTURBED KEPLER PROBLEM
8 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
9 16186 P ADIC NUMBERS//INT MATH MODELLING PHYS COGNIT SCI MSI//P ADIC PSEUDODIFFERENTIAL OPERATORS
10 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE

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