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19932026
most citedUpdated Estimate of Running Quark Masses

297 citations

Showing 2013Show all

9 papers · 1 filter

math.GR2013

On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter groups

Tetsuya Hosaka

In this paper, we investigate an equivariant homeomorphism of the boundaries and of two proper CAT(0) spaces and on which a CAT(0) group acts…

math.AC2013★ 2 cited

Algebraic study on Cameron-Walker graphs

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let be a finite simple graph on and the edge ideal of , where is the polynomial ring over a field . Let denote…

hep-th2013★ 2 cited

Velocity-Field Theory, Boltzmann's Transport Equation and Geometry

Shoichi Ichinose

Boltzmann equation describes the time development of the velocity distribution in the continuum fluid matter. We formulate the equation using the field theory where the {\it veloci…

hep-th2013

New Approach to Cosmological Fluctuation using the Background Field Method and CMB Power Spectrum

Shoichi Ichinose

A new field theory formulation is presented for the analysis of the CMB power spectrum distribution in the cosmology. The background-field formalism is fully used. Stimulated by th…

physics.soc-ph2013★ 4 cited

Analytical solution of stochastic model of risk-spreading with global coupling

Satoru Morita, Jin Yoshimura

We study a stochastic matrix model to understand the mechanics of risk-spreading (or bet-hedging) by dispersion. Such model has been mostly dealt numerically except for well-mixed…

math.AC2013

Non-vanishing of Betti numbers of edge ideals and complete bipartite subgraphs

Kyouko Kimura

Given a finite simple graph one can associate the edge ideal. In this paper we prove that a graded Betti number of the edge ideal does not vanish if the original graph contains a s…

hep-th2013★ 1 cited

Renormalization Group Approach to Dissipative System

Shoichi Ichinose

In order to understand the dynamical mechanism of the friction phenomena, we heavily rely on the numerical analysis using various methods: molecular dynamics, Langevin equation, la…

cs.GR2013

Variational Formulation of the Log-Aesthetic Surface and Development of Discrete Surface Filters

K. T. Miura, R. Shirahata, S. Agari +2

The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent ve…

hep-th2013★ 4 cited

Velocity-Field Theory, Boltzmann's Transport Equation, Geometry and Emergent Time

Shoichi Ichinose

Boltzmann equation describes the time development of the velocity distribution in the continuum fluid matter. We formulate the equation using the field theory where the {\it veloci…