DOI: http://dx.doi.org/10.1090/noti1454 best explained in the framework of complex symmetric operators, a surprisingly large class of tractable and well-behaved operators. Let H be a complex Hilbert space. Examples include Cn, the Lebesgue spaces L2(X,μ) of square-integrable functions on X with respect to a measure μ, the spaces l2(N) and l2(Z) of square integrable sequences indexed byN andZ, a...

This appendix presents the theory for minimum mean-squared-error selection of the trimming fractile kT,h in the special case where ytyt−h has a symmetric distribution for h 6= 0 (Section B). It also contains details on the robust Whittle estimator (Section C), the omitted proofs of Theorems 2.3 and 3.3 (Section D), and omitted tables (Section E). Let γ̃T,h be the quantity used in practice for ce...

The rapid progress of silicon technology is continuing with present generation technologies of gate lengths less than 22 nm. Moore’s law states the scaling of ICs, which carried out a lot of research in Nano world. Early years of silicon era used MOSFETs for designing the circuits. Many research articles have been published that demonstrate the improved short-channel effects of conventional bul...

In this work, we investigate the elastic [Formula: see text] scattering for channel dominated by resonance at finite baryon density symmetric nuclear matter, employing effective Lagrangian approach tree-level Born approximation. The quark-meson coupling (QMC) model is employed to describe medium modifications in-medium properties that are constructed quark level, such as nucleon and masses, ful...

This paper focuses on finite-dimensional upper and lower bounds on decodable thresholds of Zm and binary lowdensity parity-check (LDPC) codes, assuming belief propagation decoding on memoryless channels. A concrete framework is presented, admitting systematic searches for new bounds. Two noise measures are considered: the Bhattacharyya noise parameter and the soft bit value for a maximum a post...

The authors explore the information leakage in a continuous-variable communication protocol quantum key distribution due to asymmetry of protocol. proposed symmetric minimum-leakage heralding asymptotically eliminates pure-loss channel and minimizes noisy channel.

Introduction Recently I.Macdonald deened a family of systems of orthogonal symmetric poly-nomials depending on two parameters q; k which interpolate between Schur's symmetric functions and certain spherical functions on SL(n) over the real and p-adic elds M]. These polynomials are labeled by dominant integral weights of SL(n), and (as was shown by I.Macdonald) are uniquely deened by two conditi...