and Applied Analysis 3 Definition 1.1 Hadamard product or convolution . For functions f and g in the class A, where f z of the form 1.1 and g z is given by g z z ∞ ∑ k 2 ckz , 1.8 the Hadamard product or convolution f ∗ g z is defined by ( f ∗ g z z ∞ ∑ k 2 akbkz k ( g ∗ f z , z ∈ U. 1.9 Definition 1.2 subordination principle . For analytic functions g and hwith g 0 h 0 , g is said to be subord...

In this paper we study efficient implementations for deterministic abortable objects. Proposed by Hadzilacos and Toueg [8] a deterministic abortable object ensures that if several processes contend to operate on it, it may return a special response abort to indicate that the operation failed. And it guarantees that an aborted operation does not take effect. Operations that do not abort return a...

In conjunction with PODC 2012, the TransForm project (Marie Curie Initial Training Net-work) and EuroTM (COST Action IC1001) supported the 4th edition of the Workshop on theTheory of Transactional Memory (WTTM 2012). The objective of WTTM was to discuss newtheoretical challenges and recent achievements in the area of transactional computing. Theworkshop took place on July 19, 20...

we only show one further result that emphasizes our point that understanding LMP is fundamental to understanding any generalization of this process. A simple generalization of the local majority process would allow vertex v to have some resistivity towards color switch. Formally, for a nonnegative integer kv, we de ne a kv-local majority rule for vertex v: ct+1 v = ( ctv if jfw 2 Nv : ctw = ctv...