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Record Nr. |
UNINA9910788747603321 |
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Autore |
Cox J. T. |
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Titolo |
Mutually catalytic super branching random walks : large finite systems and renormalization analysis / / J. T. Cox, D. A. Dawson, A. Greven |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2004 |
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©2004 |
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ISBN |
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Descrizione fisica |
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1 online resource (97 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 171, Number 809 |
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Disciplina |
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Soggetti |
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Branching processes |
Random walks (Mathematics) |
Random measures |
Renormalization (Physics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 171, Number 809 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (p. 95-97). |
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Nota di contenuto |
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""Contents""; ""0 Introduction""; ""(a) Background and motivation""; ""(b) The model and review of the basic ergodic theory""; ""1 Results: Longtime behavior of large finite systems""; ""(a) The finite system scheme""; ""(b) The mean�field finite system scheme""; ""2 Results: Renormalization analysis and corresponding basic limiting dynamics""; ""(a) The multiple space�time scale analysis""; ""(b) The entrance law of the interaction chain""; ""(c) Renormalization analysis and spatial continuum limit""; ""3 Results: Application of renormalization to large scale behavior"" |
""(a) Details on the formation of monotype clusters""""(b) Finer properties of equilibria in the case of coexistence""; ""(c) Finer properties of the continuum limit""; ""(d) Outlook: The problem of universality""; ""4 Preparation: Key technical tools""; ""(a) Duality relations""; ""(b) State space of the process and wellâ€?posedness""; ""(c) Properties of the equilibrium T[sup(c,γ)][sub(Î?)]""; ""(d) Stability properties""; ""5 Finite system scheme (Proof of Theorems 1,2)""; ""(a) The finite system scheme (Proof of Theorem 1)"" |
""(b) The mean�field finite system scheme (Proof of Theorem 2)""""6 Multiple space�time scale analysis (Proof of Theorem 3, 5)""; ""(a) |
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Hierarchical two level mutually catalytic branching""; ""(b) Hierarchical K�level mutually catalytic branching""; ""(c) Conclusion of the Proof of Theorem 3""; ""(d) Proof of Theorem 5""; ""7 Analysis of the interaction chain (Proof Theorem 4, 6 � 8)""; ""(a) Entrance laws of the interaction chain (Proof of Theorem 4)""; ""(b) Cluster�formation (Proof of Theorem 6)""; ""(c) Equilibrium fluctuations (Proof of Theorem 7)"" |
""(d) Mean�field continuum limit (Proof of Proposition 3.1 and Theorem 8)"" |
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2. |
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UNINA9910220054703321 |
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Autore |
Norman Farb |
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Titolo |
Interoception, Contemplative Practice, and Health |
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Pubbl/distr/stampa |
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ISBN |
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Descrizione fisica |
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1 online resource (316 p.) |
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Collana |
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Frontiers Research Topics |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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There is an emergent movement of scientists and scholars working on somatic awareness, interoception and embodiment. This work cuts across studies of neurophysiology, somatic anthropology, contemplative practice, and mind-body medicine. Key questions include: How is body awareness cultivated? What role does interoception play for emotion and cognition in healthy adults and children as well as in different psychopathologies? What are the neurophysiological effects of this cultivation in practices such as Yoga, mindfulness meditation, Tai Chi and other embodied contemplative practices? What categories from other traditions might be useful as we explore embodiment? Does the cultivation of body awareness within contemplative practice offer a tool for coping with suffering from conditions, such as pain, addiction, and dysregulated emotion? This emergent field of research into somatic awareness and associated interoceptive processes, however, faces many obstacles. The principle |
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obstacle lies in our 400-year Cartesian tradition that views sensory perception as epiphenomenal to cognition. The segregation of perception and cognition has enabled a broad program of cognitive science research, but may have also prevented researchers from developing paradigms for understanding how interoceptive awareness of sensations from inside the body influences cognition. The cognitive representation of interoceptive signals may play an active role in facilitating therapeutic transformation, e.g. by altering context in which cognitive appraisals of well-being occur. This topic has ramifications into disparate research fields: What is the role of interoceptive awareness in conscious presence? How do we distinguish between adaptive and maladaptive somatic awareness? How do we best measure somatic awareness? What are the consequences of dysregulated somatic/interoceptive awareness on cognition, emotion, and behavior? The complexity of these questions calls for the creative integration of perspectives and findings from related but often disparate research areas including clinical research, neuroscience, cognitive psychology, anthropology, religious/contemplative studies and philosophy. |
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