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4 papers · 1 filter
Symplectic capacities of toric manifolds and related results
Guangcun Lu
In this paper we give concrete estimations for the pseudo symplectic capacities of toric manifolds in combinatorial data. Some examples are given to show that our estimates can com…
Quantum Lithography in Macroscopic Observations
De-Zhong Cao, Kaige Wang
We study the generalized Young's double-slit interference for the beam produced in the spontaneously parametric down-conversion (SPDC). We find that the sub-wavelength lithography…
Frobenius morphisms and representations of algebras
Bangming Deng, Jie Du
By introducing Frobenius morphisms on algebras and their modules over the algebraic closure ${\bar \BF}_q$ of the finite field $\BF_q$ of elements, we establish a relat…
Ergodic convergence rates of Markov processes--eigenvalues, inequalities and ergodic theory
Mu-Fa Chen
This paper consists of four parts. In the first part, we explain what eigenvalues we are interested in and show the difficulties of the study on the first (non-trivial) eigenvalue…