Abstract An estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol is obtained. This emphasizes fact that such operator strictly less than supremum symbol. Consequences time-frequency localization are also given.

We calculate the nucleon matrix element of Weinberg's dimension-6 CP-odd gluon operator fabc(F˜??)a(F??)b(F??)c in instanton vacuum. In leading order packing fraction, is effectively proportional to topological charge density (F˜??)a(F??)a, whose given by flavor-singlet axial and constrained U(1)A anomaly. The obtained substantially larger than other estimates, because strong localization nonpe...

The present paper extends the landscape theory pioneered in [FM, ADFJM2, DFM] to tight-binding Schr\"odinger operator on $\Z^d$. In particular, we establish upper and lower bounds for integrated density of states terms counting function based upon localization landscape.

In communiations engineering, the effect of a slowly time-varying communication channel is commonly modeled as a superposition of different translations and modulations. In order to recover signals from the corresponding channel outputs, one first needs to understand how the channel acts on a signal. A mathematical model often used for the effect of such a channel is an operator with a bandlimi...

We study the quantum thermalization and information scrambling dynamics of an experimentally realizable spin model with homogeneous XX-type all-to-all interactions random local potentials. identify thermalization-localization transition by changing disorder strength, under a proper interaction strength. The in localization phase shows behaviors that are distinct from models. operator grows almo...

Both electroencephalography (EEG) and magnetoencephalography (MEG) are currently used to localize brain activity. The accuracy of source localization depends on numerous factors, including the specific inverse approach and source model, fundamental differences in EEG and MEG data, and the accuracy of the volume conductor model of the head (i.e., the forward model). Using Monte Carlo simulations...

Dynamics with noncommutative coordinates invariant under three dimensional rotations or, if time is included, under Lorentz transformations is developed. These coordinates turn out to be the boost operators in SO(1, 3) or in SO(2, 3) respectively. The noncommutativity is governed by a mass parameter M . The principal results are: (i) a modification of the Heisenberg algebra for distances smalle...

We reconsider Chern-Simons gauge theory on a Seifert manifold M (the total space of a nontrivial circle bundle over a Riemann surface Σ). When M is a Seifert manifold, Lawrence and Rozansky have shown from the exact solution of Chern-Simons theory that the partition function has a remarkably simple structure and can be rewritten entirely as a sum of local contributions from the flat connections...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...