Results 11 to 20 of about 462,327 (234)

Generation of theta activity (RSA) in the cingulate cortex of the rat [PDF]

open access: yes, 1982
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.
core   +3 more sources

Fermions on replica geometries and the $\Theta$ - $\theta$ relation [PDF]

open access: yesCommunications in Number Theory and Physics, 2019
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
openaire   +2 more sources

Theta Method Dynamics [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2000
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
openaire   +4 more sources

Parametric CR-umbilical Locus of Ellipsoids in $\mathbb{C}^2$

open access: yes, 2017
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
core   +1 more source

Theta Functions on the Theta Divisor

open access: yesRocky Mountain Journal of Mathematics, 2010
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.
openaire   +4 more sources

Finitely-Generated Projective Modules over the Theta-deformed 4-sphere

open access: yes, 2012
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
core   +1 more source

A continuum-tree-valued Markov process [PDF]

open access: yes, 2012
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
core   +6 more sources

Discriminants of theta-representations

open access: yesANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2023
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
openaire   +4 more sources

Rotations and Tangent Processes on Wiener Space

open access: yes, 2003
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.
core   +2 more sources

Atmospheric Neutrino Oscillations, theta(13) and Neutrino Mass Hierarchy [PDF]

open access: yes, 2003
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
core   +4 more sources

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