Abstract In this paper, we explore a recently emerged approach to the problem of quantisation based on notion ideals. We explicitly prove that nonabelian Volterra together with whole hierarchy its symmetries admits deformation quantisation. show all odd-degree admit also non-deformation discuss for periodic including their quantum Hamiltonians, central elements quantised algebras, and demonstra...

In a recent proposal we applied methods from constructive QFT to derive Hamiltonian Renormalisation Group in order employ it ultimately for canonical quantum gravity. The was successfully tested free scalar fields and thus natural next step is test gauge theories. This can be done the framework of reduced phase space quantisation which allows using techniques developed earlier field addition, g...

Recently, MP-LPC [1] and other similar analysis-bysynthesis (A-by-S) coding schemes have proved that it is possible to achieve very high quality coded speech down to around 8 kb/s. In this paper we report on simulation results of a multi-pulse coder with pitch prediction at bit rates of 8 kb/s and below. The effects of various long term prediction configurations have been evaluated both subject...

We examine various properties of double field theory and the doubled string sigma model in context geometric quantisation. In particular we look at T-duality as symplectic transformation related to an alternative choice polarisation construction quantum bundle for string. Following this perspective adopt a variety techniques from quantisation study space. One application is coherent state that ...

In this paper a system that is designed to extract the musical score from a MIDI performance is described. The proposed system comprises of a number of modules that perform the following tasks: identification of elementary musical objects, calculation of accent (salience) of musical events, beat induction, beat tracking, onset quantisation, streaming, duration quantisation and pitch spelling. T...

We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce natural complexified analogue Hitchin connection in K\{a}hler quantisation, with polarisations coming from nonabelian Hodge hyper-K\{a}hler geometry moduli spaces flat connections, thereby complementing real-polarised approach Witten. Then Witten, identi...

A novel inline data compression method is presented for single-precision vectors in three dimensions. The primary application of the accelerating computational physics calculations where throughput bound by memory bandwidth. scheme employs spherical polar coordinates, angle quantisation, and a bespoke floating-point representation magnitude to achieve fixed ratio 1.5. anisotropy this considered...

Given any half-sided modular inclusion of standard subspaces, we show that the entropy function associated with decreasing one-parameter family translated subspaces is convex for given (not necessarily smooth) vector in underlying Hilbert space. In second quantisation, this infers convexity vacuum relative respect to translation parameter tunnel von Neumann algebras. This result allows us study...

Efficient reduction of storage and complexity demands in VQ and MQ systems is a key issue when developing new, more powerful compression algorithms. Secondary Storage Quantisation (SSQ) is capable of drastically reducing VQ storage through an efficient representation of codebook elements. Rather than the conventional fixed or floating point representation, codebook elements are quantised using ...