• Conductance-Based Refractory Density Approach for a Population of Bursting Neurons 

  Chizhov A.; Campillo F.; Desroches M.; Guillamon A; Rodrigues S. (Bulletin of Mathematical Biology, 2019)

  The conductance-based refractory density (CBRD) approach is a parsimonious mathematical-computational framework for modeling interact- ing populations of regular spiking neurons, which, however, has not been yet extended ...

• A Lê-Greuel type formula for the image Milnor number 

  Nuño-Ballesteros J.J.; Pallarés Torres I. (Hokkaido Mathematical Journal, 2019-02)

  Let $f\colon (\mathbb{C}^n,0)\to (\mathbb{C}^{n+1},0)$ be a corank 1 finitely determined map germ. For a generic linear form $p\colon (\mathbb{C}^{n+1},0)\to(\mathbb{C},0)$ we denote by $g\colon (\mathbb{C}^{n-1},0)\to ...

• A Hardy-type inequality and some spectral characterizations for the Dirac–Coulomb operator 

  Cassano B.; Pizzichillo F.; Vega L. (Revista Matemática Complutense, 2019-06)

  We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrix-valued potentials $\mathbf V$ of Coulomb type: ...

• Examples of varieties with index one on C1 fields 

  Dan A.; Kaur I. (Journal of Number Theory, 2019-04-16)

  Let K be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field k. In this article we give a sufficient criterion for a projective variety over such a field to have index 1.

• Exploring Li-ion conductivity in cubic, tetragonal and mixed-phase Al-substituted Li7La3Zr2O12 using atomistic simulations and effective medium theory 

  Bonilla M.R; García Daza F. A.; Carrasco J.; Akhmatskaya E. (Acta Materialia, 2019-08-15)

  Garnet Li7La3Zr2O12 (LLZO) is a promising solid electrolyte candidate for solid-state Li-ion batteries, but at room temperature it crystallizes in a poorly Li-ion conductive tetragonal phase. To this end, partial substitution ...

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