Representation of self-similar Gaussian processes

We develop the canonical Volterra representation for a self-similar Gaussian process by using the Lamperti transformation of the corresponding stationary Gaussian process, where this latter one admits a canonical integral representation under the assumption of pure non-determinism. We apply the representation obtained for the self-similar Gaussian process to derive an expression for Gaussian processes that are equivalent in law to the self-similar Gaussian process in question

Evolution as Connecting First-Person and Third-Person Perspectives of Consciousness

First-person and third-person perspectives are different items of human consciousness.\ud Feeling the taste of a fruit or being consciously part of a group eating fruits call for different perspectives of\ud consciousness. The latter is about objective reality (third-person data). The former is about subjective\ud experience (first-person data) and cannot be described entirely by objective reality.\ud We propose to look at how these two perspectives could be rooted in an evolutionary origin of human\ud consciousness, and somehow be connected.\ud Our starting point is a scenario describing how evolution could have transformed a non self-conscious\ud auto-representation into a conscious self-representation (Menant 2006). The scenario is based on the\ud performance of inter-subjectivity existing among non human primates (Gardenfors 2006). A key item of the\ud scenario is the identification of the auto-representation of a subject with the representations that the subject\ud has of her conspecifics, the latter feeding the former with the meaning: “existing in the environment”.\ud So during evolution, pre-human primates were brought to perceive their auto-representation as existing in\ud the environment. Such process could have generated the initial elements of a conscious self-representation.\ud We take this scenario as providing a possible rooting of human consciousness in evolution.\ud We develop here a part of this scenario by expliciting the inward and outward components of the non\ud self-conscious auto-representation.\ud Inward components are about proprioception and interoception (thirst, pain, …). Outward components cover\ud the sensory information relative to the perception of the body (seen feet, … ) and of its effects on the\ud environment.\ud We consider that the initial elements of a conscious self-representation have been applied to both inward and\ud outward components of the auto-representation. We propose that the application to inward components made\ud possible some first-person information, and that the application to outward components brought up third-person\ud information. Relations between the two perspectives are highlighted.\ud Such approach can root first-person and third-person perspectives in the same slot of human evolution.\ud We conclude by a summary of the above and introduce a possible application of this approach to the concepts\ud of bodily self and of pre-reflexive self-consciousness (Legrand, 2006)

THE POWER OF LANGUAGE OF AN INTERNET WEBSITE IN INFLUENCING PEOPLE’S PERCEPTION: A TEXT ANALYSIS OF REPRESENTATION

In this millennial era the Internet has become a very principal media and therefore, the language used in any text in the Internet can automatically serve as a very powerful tool to influence people’s perception. This paper analyzes the language used in a text of a website and tries to reveal the representation of the Self and Other of the text. The text analyzed was published in a website of a community that called itself The Knights Party, a non-aggressive racist group in the United States of America. The text was written by the director of the party, Thomas Robb. Robb is a pastor and director of this racist group. The analysis will apply Systemic Functional Grammar in unveiling the positive representation of the Self and negative representation of the Other. Transitivity and appraisal will be the focus of the analysis. The findings show that through transitivity and appraisal, it is obvious that the text writer is making a positive representation of the Self and negative representation of the Other. The analysis also results in the fact that the racist issue can be found within the text