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The 41st International Symposium on Symbolic and Algebraic Computation (ISSAC)
Symbolic Algebraic Computation
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2016/7/19
The International Symposium on Symbolic and Algebraic Computation (ISSAC) is the premier conference for research in symbolic computation and computer algebra. ISSAC 2016 will be the 41st meeting in th...
THE ENTROPY THEORY OF SYMBOLIC EXTENSIONS
ENTROPY THEORY SYMBOLIC EXTENSIONS
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2015/9/29
Fix a topological system (X, T), with its space K(X, T) of Tinvariant Borel probabilities. If (Y, S) is a symbolic system (subshift) and ϕ : (Y, S) → (X, T) is a topological extension (factor map...
SYMBOLIC EXTENSION ENTROPY:Cr EXAMPLES,PRODUCTS AND FLOWS
SYMBOLIC EXTENSION ENTROPY Cr EXAMPLES PRODUCTS FLOWS
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2015/9/29
Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
HIDDEN MARKOV PROCESSES IN THE CONTEXT OF SYMBOLIC DYNAMICS
HIDDEN MARKOV PROCESSES SYMBOLIC DYNAMICS
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2015/9/29
In an effort to aid communication among different fields and perhaps facilitate progress on problems common toall of them, this article discusses hidden Markov processes from several viewpoints, espec...
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
kneading invariant symbolic dynamics T-points Lorenz attractor chaos homoclinic and heteroclinic orbits
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2012/4/26
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems wit...
Symbolic powers versus regular powers of ideals of general points in P^1 x P^1
symbolic powers multigraded points
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2011/9/20
Abstract: Let I be a homogeneous ideal of R = k[x_0,...,x_n]. A current research theme is to compare the symbolic powers of I with the regular powers of I. In this paper, we investigate which ordinary...
Dimensionally Constrained Symbolic Regression
Symbolic Regression Dimensionally Constrained
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2011/9/14
We describe dimensionally constrained symbolic regression which has been developed for mass measurement in certain classes of events in high-energy physics (HEP).With symbolic regression, we can deriv...
Physics of the mind: Concepts, emotions, language, cognition, consciousness, beauty, music, and symbolic culture
Concepts emotions language cognition
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2011/1/5
Mathematical approaches to modeling the mind since the 1950s are reviewed. Difficulties faced by these approaches are related to the fundamental incompleteness of logic discovered by K. G\"odel. A rec...
A Symbolic Summation Approach to Feynman Integral Calculus
Symbolic Summation Feynman Integral Calculus
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2010/12/27
Given a Feynman parameter integral, depending on a single discrete variable $N$ and a real parameter $\epsilon$, we discuss a new algorithmic framework to compute the first coefficients of its Lauren...
A Symbolic Summation Approach to Feynman Integral Calculus
Symbolic Summation Feynman Integral Calculus
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2010/12/27
Given a Feynman parameter integral, depending on a single discrete variable $N$ and a real parameter $\epsilon$, we discuss a new algorithmic framework to compute the first coefficients of its Laurent...
Entropy for symbolic dynamics with overlapping alphabets
Entropy for symbolic dynamics overlapping alphabets
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2010/11/22
We consider shift spaces in which elements of the alphabet may overlap nontransitively. We define a notion of entropy for such spaces, give several techniques for computing lower bounds for it, and s...
Equality of ordinary and symbolic powers of Stanley-Reisner ideals
Stanley-Reisner ideal Cohen-Macaulay ideal symbolic power vertex cover Ramsey graph
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2010/11/30
This paper studies properties of simplicial complexes with the equal-ity I(m) = Im
for a given m ≥ 2. The main results are combinatorial characteriza-tions of such complexes in the two-dimensio...
Extracting preseismic electromagnetic signatures in terms of symbolic dynamics
preseismic electromagnetic signatures terms of symbolic dynamics
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2009/11/11
When a heterogeneous material is strained, its evolution toward breaking is characterized by the nucleation and the coalescence of micro-cracks before the final break-up. Electromagnetic (EM) emission...
Symbolic sequences and Tsallis entropy
Symbolic sequences Long-range correlations Tsallis entropy Non-usual diffusion
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2010/7/5
We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated l ti...
Deviation property of Periodic measures in the Symbolic systems
Deviation property Periodic measures Symbolic systems
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2015/5/4
Fixing a continuous observable and using thermodynamic formalism and the method of convex analysis, we obtain upper and lower bounds for the exponential decay rate of periodic measures far from a give...