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A remark on zeta functions of finite graphs via quantum walks
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Improvement of FPPR method to solve ECDLP
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A remark on the convergence of Betti numbers in the thermodynamic regime
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The convergence of the expectations of Betti numbers of Čech complexes built on binomial point processes in the thermodynamic regime is established.
Non-separability of the Lipschitz distance
Tập 7 - Trang 1-7 - 2015
Kohei Suzuki, Yohei Yamazaki
Let X be a compact metric space and $\mathcal {M}_{X}$ be the set of isometry classes of compact metric spaces Y such that the Lipschitz distance d L (X,Y) is finite. We show that $(\mathcal {M}_{X}, d_{L})$ is not separable when X is a closed interval, or an infinite union of shrinking closed intervals.... hiện toàn bộ
Magnetic geodesics on surfaces with singularities
Tập 9 Số 1 - 2017
Volker Branding, Wayne Rossman
A property of random walks on a cycle graph
Tập 7 - Trang 1-14 - 2015
Yuki Ikeda, Yasunari Fukai, Yoshihiro Mizoguchi
We analyze the Hunter vs. Rabbit game on a graph, which is a model of communication in adhoc mobile networks. Let G be a cycle graph with N nodes. The hunter can move from a vertex to a vertex along an edge. The rabbit can jump from any vertex to any vertex on the graph. We formalize the game using the random walk framework. The strategy of the rabbit is formalized using a one dimensional random w... hiện toàn bộ
Variational principle of stationary action for fractional nonlocal media and fields
Tập 7 - Trang 1-11 - 2015
Vasily E. Tarasov
Derivatives and integrals of non-integer orders have a wide application to describe complex properties of physical systems and media including nonlocality of power-law type and long-term memory. We suggest an extension of the standard variational principle for fractional nonlocal media with power-law type nonlocality that is described by the Riesz-type derivatives of non-integer orders. As example... hiện toàn bộ
Statistical detection of the influence of solar activities to weak earthquakes
Tập 6 - Trang 1-8 - 2014
Pan Qin, Tomohiko Yamasaki, Ryuei Nishii
In the literature, it has been hypothesized that the solar wind released by the Sun affects the Earth as a trigger to cause earthquakes. This hypothesis is on the basis of the observation that the frequency of earthquakes rises at the period of solar minimum. In recent years, various physical measurements on the solar wind like velocity and temperature etc. became available. With these data, we fo... hiện toàn bộ