Kostant [K2] again, in 1998, reconsidered the theme of abelian ideals in a Borel subalgebra of g and reported inter alia about Peterson’s proof that the number of abelian ideals in a ﬁxed Borel subalgebra of g is 2rank g.
Abelian ideals in a Borel subalgebra of a complex simple Lie algebra
Substantial contributions stem, inter alia, from HL.
Corrections to Scaling in Random Resistor Networks and Diluted Continuous Spin Models near the Percolation Threshold
We will prove the proposition by a coupling argument that, inter alia, builds processes with the law of X under PT for two different ﬁnite values of T on the same probability space.
Rayleigh processes, real trees, and root growth with re-grafting
Depending on the values of these parameters, the theory predicts inter alias rotational motion and vibrational motion of nuclei.
Random Matrices and Chaos in Nuclear Physics
We apply a functional integral approach to this many-body cavity QED system, which enables us, inter alia, to calculate transition thresholds, explore ﬂuctuations near this transition, and determine how such ﬂuctuations are manifest in the light emitted from the cavity.
Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
This is puzzling in view of the fact that constituency results from complicated, nonperturbative mechanisms, which inter alia generate the large constituent mass of roughly one third the nucleon mass.
$N_c$-counting rules and the axial vector coupling constant of the constituent quark
If the topology is ﬁxed, the membrane will exhibit only elastic response that is characteristic, inter alia, of polymerized membranes.
Biological and synthetic membranes: What can be learned from a coarse-grained description?
Inter alia, this result gives a complete characterization of all accumulation points of the unconditional cdfs (with respect to weak convergence) along sequences of parameters; cf.
The distribution of a linear predictor after model selection: Unconditional finite-sample distributions and asymptotic approximations
Our constructions involve, inter alia, resolvable BIBDs and cyclically resolvable BIBDs.
Efficient Two-Stage Group Testing Algorithms for DNA Screening
For example, it is based, inter alia, upon the validity of the linear constitutive equation (3) for the diffuse volume flux. As such, our simulations may have occurred in a parametric range where nonlinear effects were sensible, although likely not dominant.
A molecular dynamics test of the Navier-Stokes-Fourier paradigm for compressible gaseous continua
In our present case, a similar observation concerning the arithmetic function θℓ (n) is at least not at all straightforward, inter alia because θℓ (n) fails to be multiplicative.
A lower bound for the error term in Weyl's law for certain Heisenberg manifolds
The neutrino factory will cost several billion US dollars, inter alia for the requirement of a proton power on target at the 4 MW level to produce a sufﬁcient number of charged pions.
On the other hand, the equivalence of Tukia’s and Peltonen’s deﬁnitions follows using Peltonen’s computation of the hi -s (and diamσ), which is given – inter alia – in [Pe92].
Fat Triangulations and Differential Geometry
Further in the papers, on common randomness in information theory Ahlswede together with Csiszar studied, inter alia, problems of information theoretic security by considering a model which enables secret sharing of a random key, in particular in the presence of a wiretapper.
Capacity Results for Arbitrarily Varying Wiretap Channels
They ﬁnd, inter alia, a high density circle in the ﬁrst few PCA coordinates.
Sketches of a platypus: persistent homology and its algebraic foundations