Results 81 to 90 of about 12,584,112 (314)
Laplacian coflow on the $7$-dimensional Heisenberg group [PDF]
We study the Laplacian coflow and the modified Laplacian coflow of $G_2$-structures on the $7$-dimensional Heisenberg group. For the Laplacian coflow we show that the solution is always ancient, that is it is defined in some interval $(-\infty,T)$, with $
Leonardo Bagaglini+2 more
semanticscholar +1 more source
EuSc₂Te₄, an antiferromagnetic semiconductor, exhibits a nonlinear Hall effect (NLHE) characterized by quadratic current–voltage behavior. Combined experimental and theoretical studies reveal that this NLHE is linked to its antiferromagnetism and involves contributions from the quantum metric.
Seng Huat Lee+15 more
wiley +1 more source
Watson-Crick pairing, the Heisenberg group and Milnor invariants
We study the secondary structure of RNA determined by Watson-Crick pairing without pseudo-knots using Milnor invariants of links. We focus on the first non-trivial invariant, which we call the Heisenberg invariant.
Gadgil, Siddhartha
core +1 more source
Coupling in the Heisenberg group and its applications to gradient estimates [PDF]
We construct a non-Markovian coupling for hypoelliptic diffusions which are Brownian motions in the three-dimensional Heisenberg group. We then derive properties of this coupling such as estimates on the coupling rate, and upper and lower bounds on the ...
Sayantan Banerjee+2 more
semanticscholar +1 more source
High‐Entropy Magnetism of Murunskite
The study of murunskite (K2FeCu3S4) reveals that its magnetic and orbital order emerges in a simple I4/mmm crystal structure with complete disorder in the transition metal positions. Mixed‐valence Fe ions randomly occupy 1/4 of the tetrahedral sites, with the remaining 3/4 being filled by non‐magnetic Cu+ ions.
Davor Tolj+18 more
wiley +1 more source
Hypoellipticity on the Heisenberg group
AbstractLet P be a left-invariant differential operator on the Heisenberg group Hn, P homogeneous with respect to the dilations on Hn. We show that a necessary and sufficient condition for the hypoellipticity of P is that π(P) be an injective operator for every irreducible unitary representation π of Hn (except the trivial representation). Furthermore,
openaire +2 more sources
Spherical-Radial Multipliers on the Heisenberg Group
Let Hn be the (2n+1)-dimensional Heisenberg group. We consider a radial Fourier multiplier which is a spherical function on Hn and show that it is a Herz-Schur multiplier.
M.E. Egwe
doaj
A rough calculus approach to level sets in the Heisenberg group [PDF]
We introduce novel equations, in the spirit of rough path theory, that parametrize level sets of intrinsically regular maps on the Heisenberg group with values in R2 .
Valentino Magnani+2 more
semanticscholar +1 more source
From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang+8 more
wiley +1 more source
Symmetries in quantum mechanics are realized by the projective representations of the Lie group as physical states are defined only up to a phase. A cornerstone theorem shows that these representations are equivalent to the unitary representations of the
Campoamor-Stursberg, R.+2 more
core +1 more source