Class information for:
Level 1: ANOMALOUS DIFFUSION//HUGO STEINHAUS//CONTINUOUS TIME RANDOM WALK

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1526 2612 35.8 63%


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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
935 2             FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE 10998
1526 1                   ANOMALOUS DIFFUSION//HUGO STEINHAUS//CONTINUOUS TIME RANDOM WALK 2612

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 ANOMALOUS DIFFUSION authKW 816950 8% 33% 214
2 HUGO STEINHAUS address 758429 4% 66% 98
3 CONTINUOUS TIME RANDOM WALK authKW 484834 3% 56% 74
4 MITTAG LEFFLER FUNCTION authKW 221174 3% 22% 88
5 SUBDIFFUSION authKW 210088 2% 45% 40
6 FRACTIONAL FOKKER PLANCK EQUATION authKW 185447 1% 55% 29
7 FRACTIONAL DIFFUSION authKW 113433 1% 26% 37
8 FRACTIONAL POISSON PROCESS authKW 101018 0% 79% 11
9 STABLE SUBORDINATOR authKW 99596 1% 61% 14
10 WEAK ERGODICITY BREAKING authKW 83117 0% 89% 8

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 51965 39% 0% 1029
2 Physics, Fluids & Plasmas 24117 24% 0% 620
3 Physics, Multidisciplinary 16638 37% 0% 967
4 Mathematics, Interdisciplinary Applications 2287 7% 0% 186
5 Statistics & Probability 1088 5% 0% 143
6 Mathematics, Applied 1075 9% 0% 242
7 Mechanics 300 5% 0% 124
8 Physics, Atomic, Molecular & Chemical 286 5% 0% 142
9 Mathematics 214 6% 0% 144
10 Chemistry, Physical 40 6% 0% 161

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 HUGO STEINHAUS 758429 4% 66% 98
2 RADIOL INFORMAT STAT 73036 1% 42% 15
3 INFORMAT SCI DIRECTORATE 61901 1% 38% 14
4 HUGO STEINHAUS STOCHAST METHODS 53259 1% 33% 14
5 NONLINEAR SCI 48947 4% 5% 92
6 MARK KAC COMPLEX SYST 39495 1% 11% 30
7 SETOR TECNOL JARDIM AMER 38248 0% 55% 6
8 ERSTES MATH 37402 0% 80% 4
9 UMRA CLIMAT SOL ENVIRONM 37402 0% 80% 4
10 CHEM BIOCHEM 0340 33658 0% 26% 11

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 PHYSICAL REVIEW E 67989 21% 1% 555
2 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 58171 2% 12% 42
3 PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 29068 8% 1% 222
4 JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 11326 2% 2% 59
5 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 9991 3% 1% 86
6 MATHEMATICAL MODELLING OF NATURAL PHENOMENA 8396 1% 3% 21
7 ACTA PHYSICA POLONICA B 6786 2% 1% 65
8 JOURNAL OF STATISTICAL PHYSICS 5801 2% 1% 63
9 CHAOS SOLITONS & FRACTALS 4746 2% 1% 57
10 JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS 2833 1% 1% 35

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 ANOMALOUS DIFFUSION 816950 8% 33% 214 Search ANOMALOUS+DIFFUSION Search ANOMALOUS+DIFFUSION
2 CONTINUOUS TIME RANDOM WALK 484834 3% 56% 74 Search CONTINUOUS+TIME+RANDOM+WALK Search CONTINUOUS+TIME+RANDOM+WALK
3 MITTAG LEFFLER FUNCTION 221174 3% 22% 88 Search MITTAG+LEFFLER+FUNCTION Search MITTAG+LEFFLER+FUNCTION
4 SUBDIFFUSION 210088 2% 45% 40 Search SUBDIFFUSION Search SUBDIFFUSION
5 FRACTIONAL FOKKER PLANCK EQUATION 185447 1% 55% 29 Search FRACTIONAL+FOKKER+PLANCK+EQUATION Search FRACTIONAL+FOKKER+PLANCK+EQUATION
6 FRACTIONAL DIFFUSION 113433 1% 26% 37 Search FRACTIONAL+DIFFUSION Search FRACTIONAL+DIFFUSION
7 FRACTIONAL POISSON PROCESS 101018 0% 79% 11 Search FRACTIONAL+POISSON+PROCESS Search FRACTIONAL+POISSON+PROCESS
8 STABLE SUBORDINATOR 99596 1% 61% 14 Search STABLE+SUBORDINATOR Search STABLE+SUBORDINATOR
9 WEAK ERGODICITY BREAKING 83117 0% 89% 8 Search WEAK+ERGODICITY+BREAKING Search WEAK+ERGODICITY+BREAKING
10 JOSEPH EFFECT 81820 0% 100% 7 Search JOSEPH+EFFECT Search JOSEPH+EFFECT

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 JEON, JH , CHERSTVY, AG , BARKAI, E , METZLER, R , (2014) ANOMALOUS DIFFUSION MODELS AND THEIR PROPERTIES: NON-STATIONARITY, NON-ERGODICITY, AND AGEING AT THE CENTENARY OF SINGLE PARTICLE TRACKING.PHYSICAL CHEMISTRY CHEMICAL PHYSICS. VOL. 16. ISSUE 44. P. 24128 -24164 203 67% 156
2 METZLER, R , KLAFTER, J , (2004) THE RESTAURANT AT THE END OF THE RANDOM WALK: RECENT DEVELOPMENTS IN THE DESCRIPTION OF ANOMALOUS TRANSPORT BY FRACTIONAL DYNAMICS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 37. ISSUE 31. P. R161 -R208 147 52% 914
3 METZLER, R , KLAFTER, J , (2000) THE RANDOM WALK'S GUIDE TO ANOMALOUS DIFFUSION: A FRACTIONAL DYNAMICS APPROACH.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 339. ISSUE 1. P. 1 -77 88 54% 3416
4 CHERSTVY, AG , METZLER, R , (2016) ANOMALOUS DIFFUSION IN TIME-FLUCTUATING NON-STATIONARY DIFFUSIVITY LANDSCAPES.PHYSICAL CHEMISTRY CHEMICAL PHYSICS. VOL. 18. ISSUE 34. P. 23840 -23852 107 65% 2
5 SAFDARI, H , CHERSTVY, AG , CHECHKIN, AV , BODROVA, A , METZLER, R , (2017) AGING UNDERDAMPED SCALED BROWNIAN MOTION: ENSEMBLE- AND TIME-AVERAGED PARTICLE DISPLACEMENTS, NONERGODICITY, AND THE FAILURE OF THE OVERDAMPING APPROXIMATION.PHYSICAL REVIEW E. VOL. 95. ISSUE 1. P. - 99 73% 0
6 ZABURDAEV, V , DENISOV, S , KLAFTER, J , (2015) LEVY WALKS.REVIEWS OF MODERN PHYSICS. VOL. 87. ISSUE 2. P. 483 -530 109 39% 46
7 CHERSTVY, AG , METZLER, R , (2013) POPULATION SPLITTING, TRAPPING, AND NON-ERGODICITY IN HETEROGENEOUS DIFFUSION PROCESSES.PHYSICAL CHEMISTRY CHEMICAL PHYSICS. VOL. 15. ISSUE 46. P. 20220 -20235 82 80% 21
8 SCHULZ, JHP , BARKAI, E , METZLER, R , (2014) AGING RENEWAL THEORY AND APPLICATION TO RANDOM WALKS.PHYSICAL REVIEW X. VOL. 4. ISSUE 1. P. - 68 86% 26
9 SANDEV, T , CHECHKIN, AV , KORABEL, N , KANTZ, H , SOKOLOV, IM , METZLER, R , (2015) DISTRIBUTED-ORDER DIFFUSION EQUATIONS AND MULTIFRACTALITY: MODELS AND SOLUTIONS.PHYSICAL REVIEW E. VOL. 92. ISSUE 4. P. - 75 90% 2
10 CHERSTVY, AG , METZLER, R , (2015) ERGODICITY BREAKING AND PARTICLE SPREADING IN NOISY HETEROGENEOUS DIFFUSION PROCESSES.JOURNAL OF CHEMICAL PHYSICS. VOL. 142. ISSUE 14. P. - 82 79% 3

Classes with closest relation at Level 1


Rank Class id link
1 2265 CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE
2 20173 OFF OUTER SPACE AFFAIRS//H FUNCTION//GENERALIZED WRIGHT FUNCTION
3 11156 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
4 21069 EQUAT DERIVEES PARTIELLES//ASYMMETRIC LEVY STABLE DISTRIBUTIONS//DIPOLAR MATERIALS
5 12494 LEVY WALK//ANIMAL MOVEMENT//CORRELATED RANDOM WALK
6 26801 MOLECULAR TRAFFIC CONTROL//SINGLE FILE DIFFUSION//1 D SYSTEM
7 13796 LORENTZ LATTICE GAS//LANGTONS ANT//FLIPPING SCATTERERS
8 19752 NARROW ESCAPE//NONSPECIFIC PROTEIN DNA INTERACTIONS//TARGET SEARCH PROCESS
9 37179 PL MATH BIOSCI MED CAMBAM//CORRECTIONS TO GAUSSIAN BEHAVIOR//DIFFERENTIAL DELAY EQUATION DDE
10 16362 ONE SIDED EXIT PROBLEM//UMR C5626//ONE SIDED BARRIER PROBLEM

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