The spectrum of massless Dirac fermions on the surface a topological insulator in perpendicular magnetic field B contains B-independent “zeroth Landau level”, protected by chiral symmetry. If equation is discretized lattice method “Wilson fermions”, symmetry broken and zeroth level broadened when has spatial fluctuations. We show how this artefact can be avoided starting from an alternative non...

We study the finite horizonMerton portfolio optimization problem in a general local-stochastic volatility setting. Using model coefficient expansion techniques, we derive approximations for the both the value function and the optimal investment strategy. We also analyze the ‘implied Sharpe ratio’ and derive a series approximation for this quantity. The zeroth-order approximation of the value fu...

We investigate a field theoretical approach to the Jordan-Brans- Dicke (JBD) theory extended with particular potential term on cosmological background by starting motivation that Higgs and scale factor of universe are related. Based this relation, it is possible come up mathematically equivalent but two different interpretations. From one point view while static, masses elementary particles cha...

2014 The concept of the Boyer-Hardy source-force, or Kanzaki force, for a static screw dislocation is extended to describe a moving dislocation 2014 in a simple cubic, nearest neighbour, harmonic lattice (snapping-bond model) 2014 and together with the phonon Green’s function is used to derive expressions for the atomic displacements and timeaveraged energy disspation, viz. the rate of energy t...

The directed polymerization of actin networks is an essential element of many biological processes, including cell migration. Different theoretical models considering the interplay between the underlying processes of polymerization, capping, and branching have resulted in conflicting predictions. One of the main reasons for this discrepancy is the assumption of a branching reaction that is eith...

Spectral clustering, which uses the global information embedded in eigenvectors of an inter-item relation matrix, can outperform traditional approaches such as k-means and hierarchical clustering. Spectral hierarchical bipartitioning is well-understood, but spectral multipartitioning remains an interesting research topic. Korenblum and Shalloway [Phys. Rev. E 67, 056704 (2003)] used an analogy ...