scholarly journals Analytic characterization of conditional gaugeability for non-local Feynman–Kac transforms

2003 ◽  
Vol 202 (1) ◽  
pp. 226-246 ◽  
Author(s):  
Zhen-Qing Chen
Keyword(s):  
Non Local

scholarly journals Experimental characterization of a non-local convertor for quantum photonic networks

2017 ◽  
Vol 25 (7) ◽  
pp. 7839 ◽  
Author(s):  
Michal Mičuda ◽  
Robert Stárek ◽  
Petr Marek ◽  
Martina Miková ◽  
Ivo Straka ◽  
...  
Keyword(s):  
Experimental Characterization ◽  
Photonic Networks ◽  
Non Local

scholarly journals Necessary optimality conditions of a reaction-diffusion SIR model with ABC fractional derivatives

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Moulay Rchid Sidi Ammi ◽  
Mostafa Tahiri ◽  
Delfim F. M. Torres
Keyword(s):  
Optimal Control ◽  
Fractional Derivative ◽  
Optimality Conditions ◽  
Fractional Derivatives ◽  
Necessary Optimality Conditions ◽  
Reaction Diffusion ◽  
Derivative Operator ◽  
Sir Epidemic ◽  
Non Local

<p style='text-indent:20px;'>The main aim of the present work is to study and analyze a reaction-diffusion fractional version of the SIR epidemic mathematical model by means of the non-local and non-singular ABC fractional derivative operator with complete memory effects. Existence and uniqueness of solution for the proposed fractional model is proved. Existence of an optimal control is also established. Then, necessary optimality conditions are derived. As a consequence, a characterization of the optimal control is given. Lastly, numerical results are given with the aim to show the effectiveness of the proposed control strategy, which provides significant results using the AB fractional derivative operator in the Caputo sense, comparing it with the classical integer one. The results show the importance of choosing very well the fractional characterization of the order of the operators.</p>

Global dynamics and spreading speeds for a partially degenerate system with non-local dispersal in periodic habitats

2018 ◽  
Vol 148 (4) ◽  
pp. 849-880 ◽  
Author(s):  
Jia-Bing Wang ◽  
Wan-Tong Li ◽  
Jian-Wen Sun
Keyword(s):  
Eigenvalue Problem ◽  
Principal Eigenvalue ◽  
Reaction Diffusion ◽  
Degenerate System ◽  
Global Dynamics ◽  
Spreading Speeds ◽  
Monostable Nonlinearity ◽  
Non Local ◽  
Local Dispersal

This paper is concerned with the global dynamics and spreading speeds of a partially degenerate non-local dispersal system with monostable nonlinearity in periodic habitats. We first obtain the existence of the principal eigenvalue for a periodic eigenvalue problem with partially degenerate non-local dispersal. Then we study the coexistence and extinction dynamics. Finally, the existence and characterization of spreading speeds are considered. In particular, we show that the spreading speed is linearly determinate. Overall, we extend the existing results on global dynamics and spreading speeds for the degenerate reaction–diffusion system to the degenerate non-local dispersal case. The extension is non-trivial and meaningful.

scholarly journals On (non-)local connectivity of some Julia sets

2014 ◽  
Author(s):  
Alexandre Dezotti ◽  
Pascale Roesch
Keyword(s):  
Julia Set ◽  
Julia Sets ◽  
Complete Characterization ◽  
Rational Maps ◽  
Local Connectivity ◽  
Rational Map ◽  
Critical Set ◽  
Quadratic Polynomials ◽  
Non Local

This chapter deals with the question of local connectivity of the Julia set of polynomials and rational maps. It discusses when the Julia set of a rational map is considered connected but not locally connected. The question of the local connectivity of the Julia set has been studied extensively for quadratic polynomials, but there is still no complete characterization of when a quadratic polynomial has a connected and locally connected Julia set. This chapter thus proposes some conjectures and develops a model of non-locally connected Julia sets in the case of infinitely renormalizable quadratic polynomials. This model presents the structure of what the post-critical set in that setting should be.

scholarly journals Learning Strictly Local Subsequential Functions

2014 ◽  
Vol 2 ◽  
pp. 491-504 ◽  
Author(s):  
Jane Chandlee ◽  
Rémi Eyraud ◽  
Jeffrey Heinz
Keyword(s):  
Learning Algorithm ◽  
Future Directions ◽  
Phonological Processes ◽  
Positive Data ◽  
Strict Locality ◽  
Non Local ◽  
Morphological Processes ◽  
Theoretic Characterization ◽  
Future Work

We define two proper subclasses of subsequential functions based on the concept of Strict Locality (McNaughton and Papert, 1971; Rogers and Pullum, 2011; Rogers et al., 2013) for formal languages. They are called Input and Output Strictly Local (ISL and OSL). We provide an automata-theoretic characterization of the ISL class and theorems establishing how the classes are related to each other and to Strictly Local languages. We give evidence that local phonological and morphological processes belong to these classes. Finally we provide a learning algorithm which provably identifies the class of ISL functions in the limit from positive data in polynomial time and data. We demonstrate this learning result on appropriately synthesized artificial corpora. We leave a similar learning result for OSL functions for future work and suggest future directions for addressing non-local phonological processes.

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