On Tunnell-Gross type formulae - Ye Tian 01:07:35 On the motivic cohomology of schemes - Elden Elmanto 01:08:08 On a theorem of Legendre - William Duke 59:24 On Mazur’s main conjecture at Eisenstein primes - Francesc Castella 01:05:19 On local Galois deformation rings - Vytau...
On Tunnell-Gross type formulae - Ye Tian 01:07:35 On the motivic cohomology of schemes - Elden Elmanto 01:08:08 On a theorem of Legendre - William Duke 59:24 On Mazur’s main conjecture at Eisenstein primes - Francesc Castella 01:05:19 On local Galois deformation rings - Vytau...
Recall that the transfer operator R:L^1(Y)\rightarrow L^1(Y) for the first return map F:Y\rightarrow Y is defined via the formula \int _Y Rv\,w\,d\mu = \int _Y v\,w\circ F\,d\mu , w\in L^\infty (Y). Let {\mathbb D}=\{z\in {\mathbb C}:|z|<1\} and \...
= Solar mixing angle atΛ = 34.4153◦ ϕ1,Λ, ϕ2,Λ = Majorana phases at Λ = 15.5832◦ & 359.164◦ m1,Λ, m2,Λ, m3,Λ = Neutrino masses at Λ = 0.245775 eV, 0.245973 eV & 0.248218 eV We also define few functions which we need in threshold corrections formulae....
These measurements provide simultaneous independent access to micro- and fine-scales. We infer the 2D energy spectrum from the finescale shear and strain spectra (“High-resolution profiler observations”) and determine K using our theoretical formula for \({{{\mathcal{P}}}\) and the empirical...
We notice that the simulated boundary is very well reproduced by the heuristical formula. Figure 6 Contour-plot of Δ as a function of temperature T/t and interspecies interactions U ab /t, at U/t = 10. Total filling n = 2 and linear size of the lattice L = 24 (same...
(1996) indlcate that the value of that constant under near- surface breaking waves should be approximately the same as it is for mean flow, leading to the formula where E represents the l-dimensional va.1iance spec- trum of the transverse componerlt of velocity (Eq. 8 ) , o is ...
given by a discontinuity of a non-local double insertion of the effective\Delta B = 1Hamiltonian\mathcal{H_{\textrm{eff}}}. The transition operator in Eq. (3) can be further expanded in inverse powers ofb-quark mass, which is with a value of\sim 5GeV much larger than a typical hadr...
Formula units of Si in all Fe–Mg biotites are 3.0 apfu within error, except in Fe- rich ones, where some Tschermak-substituted Al (and pos- sibly also F e3+) are present (see footnotes to Table 3). This is reflected by the number of endmembers needed to describe the ...
one standard deviation uncertainty is given by\(\frac{{\sigma }_{{{\rm{CAR}}}{{{\rm{CAR}}}\approx \frac{1}{\sqrt{N}}\),Nis the total coincidence counts at the peak, and the uncertainty of visibility is derived via the error propagation formula. The interference visibility is limited...