Results 41 to 50 of about 2,837 (210)

Rational actions associated to the adjoint representation [PDF]

Annales scientifiques de l'École normale supérieure, 1987
Let \(G\) be a simple algebraic group with Lie algebra \(\mathfrak g\). In this paper the authors prove a \(G\)-equivariant version of the Poincaré-Birkhoff-Witt theorem. In positive characteristic they also obtain analogous results for the hyperalgebras of \(G\) and of the Frobenius kernels \(G_r\), \(r\geq 1\). Extending \textit{F. D.
Friedlander, Eric M., Parshall, Brian J.
openaire   +1 more source

Playing with fire? A mean‐field game analysis of fire sales and systemic risk under regulatory capital constraints

Canadian Journal of Statistics, EarlyView.
Abstract We analyze the effect of regulatory capital constraints on financial stability in a large homogeneous banking system using a mean‐field game (MFG) model. Each bank holds cash and a tradable risky asset. Banks choose absolutely continuous trading rates in order to maximize expected terminal equity, with trades subject to transaction costs ...
Rüdiger Frey, Theresa Traxler
wiley   +1 more source

Novel families of SU(N) AKLT states with arbitrary self-conjugate edge states

Nuclear Physics B, 2019
Using the Matrix Product State framework, we generalize the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction to one-dimensional spin liquids with global color SU(N) symmetry, finite correlation lengths, and edge states that can belong to any self ...
Samuel Gozel, Didier Poilblanc, Ian Affleck, Frédéric Mila   +3 more
doaj   +1 more source

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, Robert Seiringer   +3 more
wiley   +1 more source

Stability Bounds for the Generalized Kadanoff‐Baym Ansatz in the Holstein Dimer

Contributions to Plasma Physics, EarlyView.
ABSTRACT Predicting real‐time dynamics in correlated systems is demanding: exact two‐time Green's function methods are accurate but often too costly, while the Generalized Kadanoff‐Baym Ansatz (GKBA) offers time‐linear propagation at the risk of uncontrolled behavior. We examine when and why GKBA fails in a minimal yet informative setting, the Holstein
Oscar Moreno Segura, Yaroslav Pavlyukh, Riku Tuovinen   +2 more
wiley   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, EarlyView.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Evaluating Machine Learning Weather Models for Data Assimilation: Fundamental Limitations in Tangent Linear and Adjoint Properties

Geophysical Research Letters
Machine learning (ML) weather models like GraphCast and NeuralGCM show forecasting promise but face fundamental limitations for data assimilation (DA) integration.
Xiaoxu Tian, Daniel Holdaway, Daryl Kleist   +2 more
doaj   +1 more source

BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields

Advances in High Energy Physics, 2015
We propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional ...
L. E. Oxman
doaj   +1 more source

Intraday Functional PCA Forecasting of Cryptocurrency Returns

Journal of Forecasting, EarlyView.
ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley   +1 more source

Adjoint Majorana QCD2 at finite N

Journal of High Energy Physics, 2023
The mass spectrum of 1 + 1-dimensional SU(N) gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large N limit using Light-Cone Quantization.
Ross Dempsey, Igor R. Klebanov, Loki L. Lin, Silviu S. Pufu   +3 more
doaj   +1 more source