Search Results - "Galatolo, S."
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Arnold Maps with Noise: Differentiability and Non-monotonicity of the Rotation Number
Published in Journal of statistical physics (01-06-2020)“…Arnold’s standard circle maps are widely used to study the quasi-periodic route to chaos and other phenomena associated with nonlinear dynamics in the presence…”
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2
Textile-Based Electrogoniometers for Wearable Posture and Gesture Capture Systems
Published in IEEE sensors journal (01-09-2009)“…This paper introduces a method for detecting joint angles by using piezoresistive strain sensitive materials, as carbon loaded rubbers are. Materials used can…”
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A general framework for the rigorous computation of invariant densities and the coarse-fine strategy
Published in Chaos, solitons and fractals (01-05-2023)“…In this paper we present a general, axiomatical framework for the rigorous approximation of invariant densities and other important statistical features of…”
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Probabilistic aspects of dynamical systems
Published in Chaos, solitons and fractals (01-04-2020)Get full text
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Hitting time and dimension in axiom a systems, generic interval exchanges and an application to birkoff sums
Published in Journal of statistical physics (01-04-2006)Get full text
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Modeling and Characterization of Extensible Wearable Textile-Based Electrogoniometers
Published in IEEE sensors journal (01-01-2013)“…Measuring and monitoring through wearable technology parameters related to human movement, posture, and gesture are gaining momentum because of their wide…”
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7
A constructive Borel–Cantelli lemma. Constructing orbits with required statistical properties
Published in Theoretical computer science (17-05-2009)“…In the general context of computable metric spaces and computable measures we prove a kind of constructive Borel–Cantelli lemma: given a sequence (constructive…”
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Recurrence near given sets and the complexity of the Casati–Prosen map
Published in Chaos, solitons and fractals (01-02-2005)Get full text
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Extreme Value theory and Poisson statistics for discrete time samplings of stochastic differential equations
Published 21-10-2023“…We investigate the distribution and multiple occurrences of extreme events stochastic processes constructed by sampling the solution of a Stochastic…”
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10
Numerical estimates of local dimension by waiting time and quantitative recurrence
Published in Physica A (15-05-2006)“…Waiting time indicators are defined by measuring the time needed for a point x to approach a given point y. Our aim is to test the use of waiting time…”
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A proof of the Beyer–Stein–Ulam relation between complexity and entropy
Published in Discrete mathematics (28-08-2000)“…We present a proof of a conjecture stated by Beyer, Stein and Ulam in 1971. The authors conjectured a relation between Kolmogorov complexity and information…”
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12
Recurrence near given sets and the complexity of the Casati–Prosen map
Published in Chaos, solitons and fractals (01-02-2005)“…We prove a quantitative recurrence result which allow to estimate the speed of approaching of a generic orbit to the discontinuities of a map. This result is…”
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13
Arnold maps with noise: Differentiability and non-monotonicity of the rotation number
Published 24-01-2020“…Arnold's standard circle maps are widely used to study the quasi-periodic route to chaos and other phenomena associated with nonlinear dynamics in the presence…”
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14
Information and dynamical systems: a concrete measurement on sporadic dynamics
Published in Chaos, solitons and fractals (01-03-2002)“…We present a method for the study of dynamical systems based on the notion of quantity of information. Measuring the quantity of information of a string by…”
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15
Complexity analysis to explore the structure of ancient stromatolites
Published in Chaos, solitons and fractals (01-04-2004)“…Stromatolites [Nature 383 (1996) 423] are macroscopic rock formations resembling layered microbial communities and historically considered the fossil remains…”
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16
Dimension and waiting time in rapidly mixing systems
Published 29-11-2006“…Math. Res. Lett. (2007) We prove that if a system has superpolynomial (faster than any power law) decay of correlations then the time $\tau_{r}(x,x_{0})$…”
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A "metric" complexity for weakly chaotic systems
Published 31-10-2006“…We consider the number of Bowen sets which are necessary to cover a large measure subset of the phase space. This introduce some complexity indicator…”
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Information of sequences and applications
Published in Physica A (01-03-2002)“…In this short note, we outline some results about complexity of orbits of a dynamical system, entropy and initial condition sensitivity in weakly chaotic…”
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Dimension via Waiting time and Recurrence
Published 13-09-2003“…Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point $x$ in a decreasing sequence of neighborhoods of…”
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20
Lorenz like flows: exponential decay of correlations for the Poincar\'e map, logarithm law, quantitative recurrence
Published 05-01-2009“…In this paper we prove that the Poincar\'e map associated to a Lorenz like flow has exponential decay of correlations with respect to Lipschitz observables…”
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