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Stochastic Restricted Broadcast Process Theory [chapter]

Fatemeh Ghassemi, Mahmoud Talebi, Ali Movaghar, Wan Fokkink
2011 Lecture Notes in Computer Science  
We extend Restricted Broadcast Process Theory [11, 9] : delay functions are assigned to actions, while the semantics captures the interplay of a MANET protocol with stochastic behavior of the data-link  ...  Then we can define a stochastic variant of linear process equations (SLPE) for configurations, which can be exploited in the analysis of MANETs with an arbitrary number of nodes.  ...  Conclusion and Future Work We have extended RBPT, an algebraic framework for the specification and verification of MANETs, with stochastic concepts.  ... 
doi:10.1007/978-3-642-24749-1_7 fatcat:wknfanphajc5nkghspd2haq7z4

The 'consciousness' of the living state: Extending the Baars global broadcast model across physiological subsystems

Rodrick Wallace
2012 Nature Precedings  
This allows an evolutionary exaptation leading to dynamic global broadcasts at multiple scales, similar to the well-studied exaptation of noise to trigger stochastic resonance amplification in physiological  ...  Not only is the living state characterized by cognition at every scale and level of organization, but by multiple, shifting, tunable, cooperative broadcasts that link selected subsets of those structures  ...  Again, although animal consciousness, with its 100ms time constant, seems restricted to a single tunable global broadcast, it is clear that slower physiological consciousness global broadcast analogs would  ... 
doi:10.1038/npre.2012.6898.2 fatcat:mlcxq5sojzd6taldmwewlwvovy

Towards Performance Evaluation of Mobile Ad Hoc Network Protocols

Fatemeh Ghassemi, Ali Movaghar, Wan Fokkink
2010 2010 10th International Conference on Application of Concurrency to System Design  
We present a formal framework to evaluate stochastic properties of MANET protocols.  ...  We use so-called constrained labeled multi-transition systems (CLMSs) to specify MANETs; transitions are annotated by network restrictions, capturing the topologies in which a transition is possible.  ...  We will extend our Restricted Broadcast Process Theory [3] with ideas proposed in this paper to evaluate MANETs.  ... 
doi:10.1109/acsd.2010.20 dblp:conf/acsd/GhassemiMF10 fatcat:oxtxeo3wcrftljks7z3pl5qf2y

Crosstalk and the spectrum of biological global broadcasts: Toward generalization of the Baars consciousness model across physiological subsystems

Rodrick Wallace
2012 Nature Precedings  
This provides conditions for an evolutionary exaptation leading to dynamic global broadcasts of interacting cognitive biological processes analogous to, but slower than, consciousness, itself included  ...  The argument is closely analogous to the wellstudied exaptation of noise to trigger stochastic resonance amplification in physiological subsystems.  ...  Introduction Researchers have long speculated and experimented on the role of noise in biological process via models of stochastic resonance (e.g., Park and Neelakanta, 1996; Gluckman et al., 1996; Ward  ... 
doi:10.1038/npre.2012.6898.1 fatcat:y34ukrqmhbf2jpavjcjdz35q5a

Broadcast Abstraction in a Stochastic Calculus for Mobile Networks [chapter]

Lei Song, Jens Chr. Godskesen
2012 Lecture Notes in Computer Science  
We introduce a continuous time stochastic broadcast calculus for mobile and wireless networks.  ...  We allow continuous time stochastic behavior of processes running at network nodes, e.g. in order to be able to model randomized protocols.  ...  In [10] a related stochastic restricted broadcast process theory is introduced to model and analyze mobile ad hoc network protocols.  ... 
doi:10.1007/978-3-642-33475-7_24 fatcat:kbkfcsldtbhipcvp7xqpzswrou

When Spandrels Become Arches: Neural crosstalk and the evolution of consciousness

Rodrick Wallace, Rodrick Wallace
2012 Nature Precedings  
Once cognitive biological process is recognized as having a 'dual' information source, it is easy to show that the information theory chain rule implies isolating coresident information sources from crosstalk  ...  This provides conditions for an evolutionary exaptation leading to the rapid, dynamic global neural broadcasts of consciousness.  ...  Introduction Researchers have long speculated and experimented on the role of noise in neural processes and subsystems via models of stochastic resonance (e.g., Park and Neelakanta, 1996; Gluckman et  ... 
doi:10.1038/npre.2012.6115.2 fatcat:uewalgefl5gp7marv5fnbhrk3m

When Spandrels Become Arches: Neural crosstalk and the evolution of consciousness

Rodrick Wallace
2011 Nature Precedings  
This provides conditions for an evolutionary exaptation leading to the rapid, shifting global neural broadcasts of consciousness.  ...  Once cognition is recognized as having a 'dual' information source, the information theory chain rule implies that isolating coresident information sources from crosstalk requires more metabolic free energy  ...  Introduction Researchers have long speculated and experimented on the role of noise in neural processes and subsystems via models of stochastic resonance (e.g., Park and Neelakanta, 1996; Gluckman et  ... 
doi:10.1038/npre.2011.6115.1 fatcat:gjjnuyw66bdn7jxlzef2fylepq

When Spandrels Become Arches: Neural crosstalk and the evolution of consciousness

Rodrick Wallace, Rodrick Wallace
2012 Nature Precedings  
This provides conditions for an evolutionary exaptation leading to the rapid, shifting global neural broadcasts of consciousness.  ...  Once cognition is recognized as having a 'dual' information source, the information theory chain rule implies that isolating coresident information sources from crosstalk requires more metabolic free energy  ...  Introduction Researchers have long speculated and experimented on the role of noise in neural processes and subsystems via models of stochastic resonance (e.g., Park and Neelakanta, 1996; Gluckman et  ... 
doi:10.1038/npre.2011.6115 fatcat:nrj6vn6htvhmvivj3imwayhram

Book Review: Stochastic integration and generalized martingales

Philip Protter
1978 Bulletin of the American Mathematical Society  
The semimartingale integral as previously described is restricted to realvalued processes.  ...  The general theory of processes is the study of stochastic processes which need satisfy only the usual hypotheses.  ...  Modern practitioners of the "Shannon theory'' continue to study questions of what performance is theoretically possible and what is not when one is free to use asymptotically long codes.  ... 
doi:10.1090/s0002-9904-1978-14572-8 fatcat:534akphy2bfstcomfvzgut32le

Leaks: Quantum, Classical, Intermediate and More

John Selby, Bob Coecke
2017 Entropy  
We introduce the notion of a leak for general process theories, and identify quantum theory as a theory with minimal leakage, while classical theory has maximal leakage.  ...  Finally, we show that defining a notion of purity for processes in general process theories has to make reference to the leaks of that theory ---a feature missing in standard definitions--- hence, we propose  ...  When restricting to causal processes, a process theory is non-signalling [17] ; hence, the causality of a theory is vital to guarantee compatibility with relativity.  ... 
doi:10.3390/e19040174 fatcat:4a5wqc7ilnf75at4dxtz6isbz4

The price of anarchy and stability in general noisy best-response dynamics [article]

Paolo Penna
2015 arXiv   pre-print
It is therefore natural to ask to what extent the schedule of the players' moves (the revision process, in the game theory terminology) can affect the quality of the selected equilibria in these dynamics  ...  That is, the classical PoA (respectively, PoS) restricted to the set of stochastically stable states [AFN10] .  ... 
arXiv:1512.04017v1 fatcat:got73nlqjjatpnzqhd25qpgxxi

Lost in translation: Toward a formal model of multilevel, multiscale medicine

Rodrick Wallace
2012 Nature Precedings  
This allows an evolutionary exaptation leading to dynamic global broadcasts of interacting physiological processes at multiple scales.  ...  The argument is similar to the wellstudied exaptation of noise to trigger stochastic resonance amplification in physiological subsystems.  ...  Again, although animal consciousness, with its 100ms time constant, seems restricted to a single tunable global broadcast, it is clear that slower physiological consciousness global broadcast analogs would  ... 
doi:10.1038/npre.2012.6973.1 fatcat:pb33h5g6mnbdriksopp3qx4lz4

Quantum broadcasting problem in classical low-power signal processing

Dominik Janzing, Bastian Steudel
2007 Physical Review A. Atomic, Molecular, and Optical Physics  
Based on previous results we argue that this establishes a link between quantum information theory and the theory of low power computing because the loss of timing information implies loss of free energy  ...  Moreover, we discuss relations between the broadcasting problem and entropy power inequalities.  ...  Introduction Quantum information theory and the theory of low-power processing are currently quite different scientific disciplines.  ... 
doi:10.1103/physreva.75.022309 fatcat:j6bsm7opkzafxpetpitx7nctji

A Geometric Interpretation of Fading in Wireless Networks: Theory and Applications

M. Haenggi
2008 IEEE Transactions on Information Theory  
The main applications are single-hop connectivity and broadcasting.  ...  In wireless networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately.  ...  Since we model the distribution of the network nodes as a stochastic point process, we use the terms points and nodes interchangeably. C.  ... 
doi:10.1109/tit.2008.2006376 fatcat:srks7p7ncrb6zcowvqzcpcjrba

Stochastic geometry and random graphs for the analysis and design of wireless networks

M. Haenggi, J.G. Andrews, F. Baccelli, O. Dousse, M. Franceschetti
2009 IEEE Journal on Selected Areas in Communications  
In this case, different techniques based on stochastic geometry and the theory of random geometric graphs -including point process theory, percolation theory, and probabilistic combinatorics -have led  ...  Often, the location of the nodes in the network can be modeled as random, following for example a Poisson point process.  ...  Let {h, h 1 , h 2 , . . .} be an iid stochastic process with h drawn A Poisson point process of intensity 1 in a 16 × 16 square.  ... 
doi:10.1109/jsac.2009.090902 fatcat:kdjhybk26zbmzc3uljjcs2b6oa
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