This presents the first example of a Markov dilation for a non-commutative dynamical system which is not equivalent to a quasifree evolution. Furthermore the dilation turns out to be a generalized K -system.doi:10.1007/BF01205506B. Kümmerer...
These extremal results imply, for example, the following Ramsey theorems for hypercubes: A hypercube can always be edge-partitioned into four subgraphs, each of which contains no six-cycle. However, for any integer t, if the n-cube is edge-partitioned into t subgraphs, then one of the ...
Recent studies indicate that high-risk individuals with screen-detected PDAC have a median overall survival of 9.8 years, substantially longer than the 1.5 years for those diagnosed outside of surveillance (for example, via standard clinical diagnostic techniques)6. As such, screening of PDAC...
A Dilation of the portal vein is noted when the diameter of the portal vein is more than three times the diameter of the hepatic artery (Masson, 200×). B Multiple thin-walled vessels (arrows) may be seen in addition to the hepatic artery and portal vein (H&E, 100×). C The ...
i1≥2. Since the G-invariant spherical harmonics are precisely given by the restrictions to Sn−1 of G-invariant homogeneous harmonic polynomials in n variables, the following lemma establishes that G=O(n−1)×Z2 is an example of a group satisfying (P2). Lemma 2.2 Let G=O(n−1)...
Give an example of a linear transformation T: R^2 \to R^2 such that N(T) = R(T). Give a geometric description of the following transformations x\rightarrow Ax: A = \begin{bmatrix} 2& 0\\ 0& 1 \end{bmatrix}. A transformation is defined by the equations : x = u^2 - v^...
could efficiently spell words using a code word that represented each English letter (for example, ‘alpha’ for ‘a’): this approach leads to a character error rate of 6.13% and a speed of 29.4 characters per minute, and hence starts to provide a viable communication channel for such ...
The dissipation and decoherence (for example, the effects of noise in quantum computations), interaction with thermostat or in general with physical vacuum... A Gevorkyan - 《Arxiv Mathematical Physics》 被引量: 0发表: 2006年 Linear quantum state diffusion for non-Markovian open quantum systems ...
This paper is concerned with the study of a nonlinear non-local equation that has a commutator structure. The equation reads $$ \partial _{t} u-F(u) \, (-\
For example, the quark-gluon plasma behaves as an almost perfect dense fluid carrying SU(3) color charge. However, the detailed microscopic understanding of the equilibration mechanisms after the heavy-ion collisions is still left to be an outstanding problem. A transient phase in the equilibration...