A Spectral Analysis of Discrete-Time Quantum Walks Related to the Birth and Death Chains
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-1998-9
Abstract: In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary distributions of the quantum walks are… read more here.
Keywords: quantum walks; discrete time; time; spectral analysis ... See more keywords
Stochastic analysis & discrete quantum systems
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114658
Abstract: We explore the connections between the theories of stochastic analysis and discrete quantum mechanical systems. Naturally these connections include the Feynman-Kac formula, and the Cameron-Martin-Girsanov theorem. More precisely, the notion of the quantum canonical transformation… read more here.
Keywords: discrete quantum; analysis discrete; stochastic analysis; systems stochastic ... See more keywords
A parametric analysis of discrete Hamiltonian functional maps
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DOI: 10.1111/cgf.14072
Abstract: In this paper we develop an in‐depth theoretical investigation of the discrete Hamiltonian eigenbasis, which remains quite unexplored in the geometry processing community. This choice is supported by the fact that Dirichlet eigenfunctions can be… read more here.
Keywords: functional maps; analysis discrete; discrete hamiltonian; hamiltonian functional ... See more keywords
Experimental analysis, discrete modeling and parameter optimization of SLS-printed bi-pantographic structures
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DOI: 10.1177/10812865221107623
Abstract: Making use of experimental data for bias extension, shearing, and point-load tests in large deformation regime for rectangular and square bi-pantographic specimens, we perform a numerical identification to fit the a priori parameters of a… read more here.
Keywords: analysis discrete; experimental analysis; pantographic structures; discrete modeling ... See more keywords
Stability analysis of a discrete competitive system with nonlinear interinhibition terms
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1362-4
Abstract: AbstractWe propose and study a discrete competitive system of the following form: x1(n+1)=x1(n)exp[r1−a1x1(n)−b1x2(n)1+c2x2(n)],x2(n+1)=x2(n)exp[r2−a2x2(n)−b2x1(n)1+c1x1(n)]. $$\begin{aligned} &x_{1}(n+1)=x_{1}(n)\exp{\biggl[r_{1}-a_{1}x_{1}(n)- \frac {b_{1}x_{2}(n)}{1+c_{2}x_{2}(n)}\biggr]}, \\ &x_{2}(n+1)=x_{2}(n)\exp{\biggl[r_{2}-a_{2}x_{2}(n)- \frac {b_{2}x_{1}(n)}{1+c_{1}x_{1}(n)}\biggr]}. \end{aligned}$$ We obtain some conditions for the local stability of the equilibria. Using the… read more here.
Keywords: stability analysis; discrete competitive; competitive system; stability ... See more keywords