Hypercyclic and mixing composition operators on HpH^{p}

Extending previous results of Bourdon and Shapiro we characterize the hypercyclic and mixing composition operators $C_{\varphi}$ for the automorphisms of $\mathbb{D}$ on any of the spaces $H^{p}$ with $1\leqslant p<+\infty$

The dynamic behavior of conjugate multipliers on some reflexive Banach spaces of analytic functions

Extending previous results of Godefroy and Shapiro we characterize the hypercyclic, mixing and chaotic conjugate multipliers on some reflexive spaces of analytic functions.Comment: arXiv admin note: substantial text overlap with arXiv:2207.0527

Mixing unilateral weighted backward shifts on barrelled topological sequence spaces

Extending previous results of Grosse-Erdmann and Peris we obtain a characterization of mixing unilateral weighted backward shifts on barrelled topological sequence spaces in which the canonical unit vectors $(e_{n})_{n=1}^{\infty}$ form a basis

Mechanistic And Synthetic Investigations In Sulfonyl Chemistry And Acyl Transfer

This thesis contains three chapters dealing with the organic chemistry of sulfonyl and carbonyl compounds. The first chapter describes the synthesis and rate studies of a series of {dollar}\beta{dollar}-methoxy sulfones and their unsubstituted parent compounds designed to test some basic ideas of the nature of the electronic effects of substituents in saturated systems. The substrates were designed to illustrate the effect of the change of the H{dollar}\sb\alpha{dollar}-C{dollar}\sb\alpha{dollar}-C{dollar}\sb\beta{dollar}-O dihedral angle on the rate of base-promoted H-D exchange reaction. The presence of a {dollar}\beta{dollar}-methoxy group affected the H-D exchange rates by factors varying from a few hundred to greater than ten thousands. This study leads to the conclusion that the effect of a {dollar}\beta{dollar}-alkoxy substituent cannot be accounted for by the conventional polar effect (i.e. inductive and field effects), but must involve a kinetic anomeric effect.;The second chapter describes synthesis, hydrolysis, and p{dollar}K\sb{lcub}\rm a{rcub}{dollar} determination of sulfonamides and sulfonimides. Ethane-1,2-disulfonimide has been synthesized for the first time. More than twenty other sulfonamides and sulfonimides were synthesized to examine the effect of ring strain and a stereoelectronic effect in acidities and hydrolysis rates. It has been found that the acidities of five-membered cyclic sulfonimides are one to two orders of magnitude greater than six-membered cyclic sulfonimides or acyclic sulfonimides. It has also been found that ethane-1,2-disulfonimide hydrolyses 430 times faster than its six-membered analogue, propane-1,3-disulfonimide, and 320 times faster than its open chain analogue, dimethanesulfonimide.;In the third chapter pH optimization in acyl transfer has been described. The reaction of amines with Ac{dollar}\sb2{dollar}O in water gave variable yields of the N-substituted acetamide. From the p{dollar}K\sb{lcub}\rm a{rcub}{dollar}\u27s of the amines and {dollar}k\sb{lcub}\rm w{rcub}{dollar} and {dollar}k\sb{lcub}\rm OH{rcub}{dollar} for Ac{dollar}\sb2{dollar}O, both {dollar}k\sb{lcub}\rm DN{rcub}{dollar} and {dollar}k\sb{lcub}\rm GB{rcub}{dollar} may be readily evaluated by fitting the pH-yield data to pH-yield or pH-product ratio profiles. The extent of general base catalysis is evidently dependent on the amount of steric hindrance and the pK{dollar}\sb{lcub}\rm a{rcub}{dollar} of the amine. The reactions of PhCOCl with PhCH{dollar}\sb2{dollar}NH{dollar}\sb2{dollar} and piperidine in aqueous solution show no sign of the general base assisted hydrolysis. A general equation for obtaining the maximum yield in competition with hydrolysis is presented and verified with the benzoylation and acetylation reactions

Forward Attention in Sequence-to-sequence Acoustic Modelling for Speech Synthesis

This paper proposes a forward attention method for the sequenceto- sequence acoustic modeling of speech synthesis. This method is motivated by the nature of the monotonic alignment from phone sequences to acoustic sequences. Only the alignment paths that satisfy the monotonic condition are taken into consideration at each decoder timestep. The modified attention probabilities at each timestep are computed recursively using a forward algorithm. A transition agent for forward attention is further proposed, which helps the attention mechanism to make decisions whether to move forward or stay at each decoder timestep. Experimental results show that the proposed forward attention method achieves faster convergence speed and higher stability than the baseline attention method. Besides, the method of forward attention with transition agent can also help improve the naturalness of synthetic speech and control the speed of synthetic speech effectively.Comment: 5 pages, 3 figures, 2 tables. Published in IEEE International Conference on Acoustics, Speech and Signal Processing 2018 (ICASSP2018