Results 11 to 20 of about 462,327 (234)
Generation of theta activity (RSA) in the cingulate cortex of the rat [PDF]
Unit activity recorded from the cingulate cortex during theta rhythm shows periodic trains of spikes which are phase-locked to the local theta field potential waves. These cortical theta units were also shown to be correlated with hippocampal theta units.
Holsheimer, J.
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Fermions on replica geometries and the $\Theta$ - $\theta$ relation [PDF]
In arXiv:1706:09426 we conjectured and provided evidence for an identity between Siegel $\Theta$-constants for special Riemann surfaces of genus $n$ and products of Jacobi $\theta$-functions. This arises by comparing two different ways of computing the \nth \Renyi entropy of free fermions at finite temperature.
Mukhi, Sunil, Murthy, Sameer
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AbstractLong-term solutions of the theta method applied to scalar nonlinear differential equations are studied in this paper. In the case where the equation has a stable steady state, lower bounds on the basin of non-oscillatory, monotonic attraction for the theta method are derived. Spurious period two solutions are then analysed.
Barclay, G.J. +2 more
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Parametric CR-umbilical Locus of Ellipsoids in $\mathbb{C}^2$
For every real numbers $a \geqslant 1$, $b \geqslant 1$ with $(a,b) \neq (1,1)$, the curve parametrized by $\theta \in \mathbb{R}$ valued in $\mathbb{C}^2 \cong \mathbb{R}^4$ \[ \gamma\, \colon \ \ \ \theta \,\,\,\longmapsto\,\,\, \big( x(\theta ...
Foo, Wei-Guo, Merker, Joel, Ta, The-Anh
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Theta Functions on the Theta Divisor
We show that the gradient and the hessian of the Riemann theta function in dimension n can be combined to give a theta function of order n+1 and modular weight (n+5)/2 defined on the theta divisor. It can be seen that the zero locus of this theta function essentially gives the ramification locus of the Gauss map.
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Finitely-Generated Projective Modules over the Theta-deformed 4-sphere
We investigate the "theta-deformed spheres" C(S^{3}_{theta}) and C(S^{4}_{theta}), where theta is any real number. We show that all finitely-generated projective modules over C(S^{3}_{theta}) are free, and that C(S^{4}_{theta}) has the cancellation ...
A. Connes +27 more
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A continuum-tree-valued Markov process [PDF]
We present a construction of a L\'evy continuum random tree (CRT) associated with a super-critical continuous state branching process using the so-called exploration process and a Girsanov's theorem.
Jean-françois Delmas +2 more
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Discriminants of theta-representations
Tevelev has given a remarkable explicit formula for the discriminant of a complex simple Lie algebra, which can be defined as the equation of the dual hypersurface of the minimal nilpotent orbit, or of the so-called adjoint variety. In this paper we extend this formula to the setting of graded Lie algebras, and express the equation of the corresponding
Benedetti, Vladimiro, Manivel, Laurent
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Rotations and Tangent Processes on Wiener Space
The paper considers (a) Representations of measure preserving transformations (``rotations'') on Wiener space, and (b) The stochastic calculus of variations induced by parameterized rotations $\{T_\theta w, 0 \le \theta \le \eps\}$: ``Directional ...
Zakai, M.
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Atmospheric Neutrino Oscillations, theta(13) and Neutrino Mass Hierarchy [PDF]
We derive predictions for the Nadir angle (theta(n)) dependence of the ratio N(mu)/N(e) of the rates of the mu-like and e-like multi-GeV events measured in water-Cerenkov detectors in the case of 3-neutrino oscillations of the atmospheric nu(e) (antinu(e)
Agraval +85 more
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