Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Cardanobile, Stefano"'
Publikováno v:
SpringerPlus 3: 148, 2014
Mechanisms underlying the emergence of orientation selectivity in the primary visual cortex are highly debated. Here we study the contribution of inhibition-dominated random recurrent networks to orientation selectivity, and more generally to sensory
Externí odkaz:
http://arxiv.org/abs/1401.4668
The population activity of random networks of excitatory and inhibitory leaky integrate-and-fire (LIF) neurons has been studied extensively. In particular, a state of asynchronous activity with low firing rates and low pairwise correlations emerges i
Externí odkaz:
http://arxiv.org/abs/1201.0288
Publikováno v:
PLoS ONE 7(6): e37911 (2012)
Different network models have been suggested for the topology underlying complex interactions in natural systems. These models are aimed at replicating specific statistical features encountered in real-world networks. However, it is rarely considered
Externí odkaz:
http://arxiv.org/abs/1112.3475
Publikováno v:
Phys Rev E 82, 021129 (2010)
Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by nerve cells, the release and reuptake of vesicles at a synapse, and the c
Externí odkaz:
http://arxiv.org/abs/1002.3798
Autor:
Cardanobile, Stefano, Rotter, Stefan
We introduce a nonlinear modification of the classical Hawkes process, which allows inhibitory couplings between units without restrictions. The resulting system of interacting point processes provides a useful mathematical model for recurrent networ
Externí odkaz:
http://arxiv.org/abs/0904.1505
Autor:
Cardanobile, Stefano, Mugnolo, Delio
Publikováno v:
J.Math.Phys.50:103520,2009
We investigate symmetry properties of vector-valued diffusion and Schr\"odinger equations. For a separable Hilbert space $H$ we characterize the subspaces of $L^2(\Omega, H)$ that are local (i.e., defined pointwise) and discuss the issue of their inv
Externí odkaz:
http://arxiv.org/abs/0902.3833
Autor:
Cardanobile, Stefano
We study the strong maximum principle for the heat equation associated with the Dirichlet form on countable networks. We start by analyzing the boundedness properties of the incidence operators on a countable network. Subsequently, we prove that the
Externí odkaz:
http://arxiv.org/abs/0902.0251
Autor:
Cardanobile, Stefano, Mugnolo, Delio
Publikováno v:
J. Diff. Equ. 247 (2009), 1229-1248
We consider elliptic operators with operator-valued coefficients and discuss the associated parabolic problems. The unknowns are functions with values in a Hilbert space $W$. The system is equipped with a general class of coupled boundary conditions
Externí odkaz:
http://arxiv.org/abs/0812.3813
Autor:
Cardanobile, Stefano
A theoretical framework for sesquilinear forms defined on the direct sum of Hilbert spaces is developed in the first part. Conditions for the boundedness, ellipticity and coercivity of the sesquilinear form are proved. A criterion of E.-M. Ouhabaz is
Externí odkaz:
http://arxiv.org/abs/0807.2362
Publikováno v:
J. Phys. A 41 (2008), 055102
We consider a diffusion process on the edges of a finite network and allow for feedback effects between different, possibly non-adjacent edges. This generalizes the setting that is common in the literature, where the only considered interactions take
Externí odkaz:
http://arxiv.org/abs/0709.2080