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IET Generation, Transmission and Distribution, ISSN 1751-8687, 05/2010, Volume 4, Issue 5, pp. 641 - 651
A probabilistic power flow model that takes into account spatially correlated power sources and loads is proposed. It is particularly appropriate to assess the... 
SYSTEM | UNCERTAINTY | CUMULANTS | LOAD-FLOW | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Advances in Mathematics, ISSN 0001-8708, 04/2018, Volume 328, pp. 112 - 132
The theory of cumulants is revisited in the “Rota way” that is, by following a combinatorial Hopf algebra approach. Monotone, free, and boolean cumulants are... 
Monotone cumulants | Free cumulants | Combinatorial Hopf algebra | Pre-Lie Magnus expansion | Half-shuffle exponentials | Boolean cumulants | Mathematics | Rings and Algebras
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2017, Volume 348, pp. 862 - 888
The cumulant lattice Boltzmann method offers a set off free relaxation parameters that do not influence the result at leading order but can be used to... 
Quartic parameters | Multiple relaxation times | Lattice Boltzmann | Fourth order | Cumulants
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2017, Volume 348, pp. 889 - 898
The optimized cumulant lattice Boltzmann method with fourth order accurate diffusion is used to simulate the flow around a sphere up to Reynolds number 106.... 
Multiple relaxation times | Lattice Boltzmann | Fourth order | Drag crisis | Cumulants
Journal Article
Nuclear Physics. A, ISSN 0375-9474, 01/2019, Volume 982, Issue C
Recent measurements of the correlations between flow harmonics obtained using four-particle symmetric cumulants and three-particle asymmetric cumulants with... 
heavy ion collisions | collectivity | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | small systems | symmetric cumulants | subevent cumulants | QGP
Journal Article
Nuclear Physics A: Nuclear and Hadronic Physics, ISSN 0375-9474, 2019, Volume 982, pp. 479 - 482
Recent measurements of the correlations between flow harmonics obtained using four-particle symmetric cumulants and three-particle asymmetric cumulants with... 
heavy ion collisions | collectivity | small systems | symmetric cumulants | subevent cumulants | PHYSICS, NUCLEAR | QGP | Fysik | Physical Sciences | Subatomic Physics | Naturvetenskap | Subatomär fysik | Natural Sciences
Journal Article
by Adare, A and Afanasiev, S and Aidala, C and Ajitanand, N.N and Akiba, Y and Akiba, Y and Akimoto, R and Al-Bataineh, H and Alexander, J and Alexander, J and Al-Ta'Ani, H and Angerami, A and Angerami, A and Aoki, K and Apadula, N and Apadula, N and Aramaki, Y and Asano, H and Aschenauer, E.C and Atomssa, E.T and Averbeck, R and Awes, T.C and Azmoun, B and Babintsev, V and Bai, M and Baksay, G and Baksay, L and Bannier, B and Barish, K.N and Bassalleck, B and Basye, A.T and Bathe, S and Baublis, V and Baumann, C and Baumann, C and Baumgart, S and Bazilevsky, A and Belikov, S and Belmont, R and Bennett, R and Bennett, R and Berdnikov, A and Berdnikov, Y and Bickley, A.A and Black, D and Black, D and Blau, D.S and Blau, D.S and Bok, J.S and Boyle, K and Boyle, K and Brooks, M.L and Brooks, M.L and Bryslawskyj, J and Buesching, H and Bumazhnov, V and Bunce, G and Butsyk, S and Camacho, C.M and Campbell, S and Campbell, S and Castera, P and Chen, C.-H and Chi, C.Y and Chi, C.Y and Chiu, M and Chiu, M and Choi, I.J and Choi, I.J and Choi, J.B and Choi, S and Choi, S and Choudhury, R.K and Choudhury, R.K and Christiansen, P and Christiansen, P and Chujo, T and Chung, P and Chung, P and Chvala, O and Cianciolo, V and Citron, Z and Cole, B.A and Cole, B.A and Connors, M and Connors, M and Constantin, P and Cronin, N and Crossette, N and Csanád, M and Csörgo, T and Csörgo, T and Dahms, T and Dahms, T and Dairaku, S and Danchev, I and Das, K and Das, K and Datta, A and Datta, A and ...
Physical Review C, ISSN 2469-9985, 01/2016, Volume 93, Issue 1
Journal Article
Advances in Applied Mathematics, ISSN 0196-8858, 09/2019, Volume 110, pp. 299 - 341
We consider two extensions of free probability that have been studied in the research literature, and are based on the notions of c-freeness and respectively... 
CUMULANTS | MATHEMATICS, APPLIED | FREE PROBABILITY | Information science
Journal Article
Physical Review C, ISSN 2469-9985, 03/2016, Volume 93, Issue 3
We argue that a crucial determinant of the acceptance dependence of fluctuation measures in heavy-ion collisions is the range of correlations in the momentum... 
CUMULANTS | PHYSICS, NUCLEAR | DIAGRAM | COLLISIONS | PHASE-TRANSITION | Physics - Nuclear Theory
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 08/2019, Volume 369, Issue 3, pp. 837 - 866
We prove general de Finetti type theorems for classical and free independence. The de Finetti type theorems work for all non-easy quantum groups, which... 
CUMULANTS | CLASSIFICATION | PHYSICS, MATHEMATICAL | QUANTUM
Journal Article
Nuclear Physics, Section A, ISSN 0375-9474, 02/2019, Volume 982, pp. 323 - 326
Measurements of four-particle cumulants cn{4} for n=1,2,3,4 are presented using 470μb−1 of Pb+Pb collisions at sNN=5.02TeV with the ATLAS detector at the LHC.... 
Multi-Particle Correlation | Cumulants | Heavy-ion | Flow Fluctuation
Journal Article
The Annals of Statistics, ISSN 0090-5364, 4/2013, Volume 41, Issue 2, pp. 982 - 1004
Spectral sampling is associated with the group of unitary transformations acting on matrices in much the same way that simple random sampling is associated... 
Integers | Algebra | Generating function | Random sampling | Spectral theory | Eigenvalues | Umbra | Scalars | Polynomials | Mathematical functions | Random matrix | Free cumulant | Polykays | Cumulant of traces | cumulant of traces | polykays | SYMMETRIC GROUP | CUMULANTS | STATISTICS & PROBABILITY | free cumulant | 60B20 | 62F12 | 46L53
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 03/2020, Volume 588, pp. 428 - 457
Motivated by the study of the secant variety of the Segre-Veronese variety we propose a general framework to analyze properties of the secant varieties of... 
Segre-Veronese embedding | Singular locus | Secant variety | Simplicial complex | Cumulants
Journal Article
IEEE Transactions on Wireless Communications, ISSN 1536-1276, 08/2012, Volume 11, Issue 8, pp. 2742 - 2750
Journal Article
IEEE Transactions on Wireless Communications, ISSN 1536-1276, 06/2012, Volume 11, Issue 6, pp. 2212 - 2223
Journal Article
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