Ascent Sequences and Upper Triangular Matrices Containing Non-Negative Integers [PDF]
This paper presents a bijection between ascent sequences and upper triangular matrices whose non-negative entries are such that all rows and columns contain at least one non-zero entry. We show the equivalence of several natural statistics on these structures under this bijection and prove that some of these statistics are equidistributed.
Dukes, Mark, Parviainen, Robert
openaire +5 more sources
Quantum Calogero-Moser Models: Integrability for all Root Systems [PDF]
The issues related to the integrability of quantum Calogero-Moser models based on any root systems are addressed. For the models with degenerate potentials, i.e. the rational with/without the harmonic confining force, the hyperbolic and the trigonometric,
A J Pocklington +79 more
core +3 more sources
Physical insights from the aspect ratio dependence of turbulence in negative triangularity plasmas [PDF]
In this work, we study the impact of aspect ratio A=R0/r (the ratio of major radius R 0 to minor radius r) on the confinement benefits of negative triangularity (NT) plasma shaping. We use high-fidelity flux tube gyrokinetic GENE simulations and consider
A. Balestri +5 more
semanticscholar +1 more source
Overview of initial negative triangularity plasma studies on the ASDEX Upgrade tokamak
An overview of results of negative triangularity (NT) studies from the ASDEX Upgrade tokamak (AUG) is given. Moderate values of the triangularity in the range of δ _average ≈ −0.2 have been obtained.
T. Happel +8 more
doaj +1 more source
Constraining models of initial conditions with elliptic and triangular flow data [PDF]
We carry out a combined analysis of elliptic and triangular flow data using viscous relativistic hydrodynamics. We show that these data allow to put tight constraints on models of the early dynamics of a nucleus-nucleus collision.
Luzum, Matthew +2 more
core +4 more sources
H-mode grade confinement in L-mode edge plasmas at negative triangularity on DIII-D
A. Marinoni +19 more
openalex +4 more sources
Measures with zeros in the inverse of their moment matrix
We investigate and discuss when the inverse of a multivariate truncated moment matrix of a measure $\mu$ has zeros in some prescribed entries. We describe precisely which pattern of these zeroes corresponds to independence, namely, the measure having a ...
Helton, J. William +2 more
core +2 more sources
Triangularity and Dipole Asymmetry in Heavy Ion Collisions
We introduce a cumulant expansion to parameterize possible initial conditions in relativistic heavy ion collisions. We show that the cumulant expansion converges and that it can systematically reproduce the results of Glauber type initial conditions.
Teaney, Derek, Yan, Li
core +1 more source
Standard triangularization of semigroups of non-negative operators
A semigroup \({\mathcal S}\) of operators \(S\in{\mathcal B}({\mathcal X})_+\), preserving non-negative functions (\(S{\mathcal X}_+\subset{\mathcal X}_+\)), on a Banach lattice \({\mathcal X}=L^p(X,\mu )\), \(1\leq ...
MacDonald, Gordon, Radjavi, Heydar
openaire +2 more sources
Dynamical vs geometric anisotropy in relativistic heavy-ion collisions: which one prevails?
We study the influence of geometric and dynamical anisotropies on the development of flow harmonics and, simultaneously, on the second- and third-order oscillations of femtoscopy radii. The analysis is done within the Monte Carlo event generator HYDJET++,
Bravina, L. V. +5 more
core +1 more source

