Luigi Palatella

DOI

A Trevisan, L Palatella (2011) Chaos and weather forecasting: the role of the unstable subspace in predictability and state estimation problems International Journal of Bifurcation and Chaos 21: 3389-3415

Abstract: n the first part of this paper, we review some important results on atmospheric predictability, from the pioneering work of Lorenz to recent results with operational forecasting models. Particular relevance is given to the connection between atmospheric predictability and the theory of Lyapunov exponents and vectors. In the second part, we briefly review the foundations of data assimilation methods and then we discuss recent results regarding the application of the tools typical of chaotic systems theory described in the first part to well established data assimilation algorithms, the Extended Kalman Filter (EKF) and Four Dimensional Variational Assimilation (4DVar). In particular, the Assimilation in the Unstable Space (AUS), specifically developed for application to chaotic systems, is described in detail.

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Journal articles

2013	DOI Luigi Palatella, Anna Trevisan, Sandro Rambaldi (2013) Nonlinear stability of traffic models and the use of Lyapunov vectors for estimating the traffic state Physical Review E 88: 022901 Abstract: Notes:
	DOI Luigi Palatella, Alberto Carrassi, Anna Trevisan (2013) Lyapunov vectors and assimilation in the unstable subspace: theory and applications Journal of Physics A: Mathematical and Theoretical 46: 25. 254020 Abstract: Notes:
2012	DOI Claudia Pizzigalli, L Palatella, M Zampieri, P Lionello, M M Miglietta, P Paradisi (2012) Dynamical and statistical downscaling of precipitation and temperature in a Mediterranean area Italian Journal of Agronomy 7: 1. e2 Abstract: Notes:
	DOI Luigi Palatella, Domenico Vitale, Domenico Ventrella, Gianfranco Rana (2012) The water deficit and aridity indexes in the Capitanata plain calculated by statistical downscaling Italian Journal of Agronomy 7: 1. e3 Abstract: Notes:
	C Pennetta, L Palatella (2012) Statistics of extreme variations of RR Hear tbeat intervals Fluctuation and Noise Letters 11: 1240015 Abstract: Notes:

	DOI Luigi Palatella, Paolo Grigolini (2012) Noise-induced intermittency of a reflexive model with symmetry-induced equilibrium manifold Physica A 391: 23. 5900–5907 Abstract: Notes:
2011	DOI L Palatella, C Pennetta (2011) Distribution of first-return times in correlated stationary signals Phys. Rev. E 83: 4. 041102 Abstract: Notes:
	DOI A Trevisan, L Palatella (2011) Chaos and weather forecasting: the role of the unstable subspace in predictability and state estimation problems International Journal of Bifurcation and Chaos 21: 3389-3415 Abstract: n the first part of this paper, we review some important results on atmospheric predictability, from the pioneering work of Lorenz to recent results with operational forecasting models. Particular relevance is given to the connection between atmospheric predictability and the theory of Lyapunov exponents and vectors. In the second part, we briefly review the foundations of data assimilation methods and then we discuss recent results regarding the application of the tools typical of chaotic systems theory described in the first part to well established data assimilation algorithms, the Extended Kalman Filter (EKF) and Four Dimensional Variational Assimilation (4DVar). In particular, the Assimilation in the Unstable Space (AUS), specifically developed for application to chaotic systems, is described in detail. Notes:
	DOI A Trevisan, L Palatella (2011) On the Kalman Filter error covariance collapse into the unstable subspace Nonlin. Processes in Geophys. 18: 243-250 Abstract: Notes:
2010	DOI (2010) Climate change assessment for Mediterranean agricultural areas by statistical downscaling Natural Hazards and Earth System Sciences 10: 1647-1661 Abstract: Notes:
	DOI L Palatella (2010) A reflexive toy-model for financial market PHYSICA. A 389: 315-322 Abstract: Notes:
2009	P PARADISI, D CONTINI, A DONATEO, L PALATELLA (2009) Characterizing memory in atmospheric time series, an alternative approach based on renewal theory THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS 174: 207-218 Abstract: Notes:
2007	M FALCIONI, L PALATELLA, S PIGOLOTTI, L RONDONI, A VULPIANI (2007) Initial growth of Boltzmann entropy and chaos in a large assembly of weakly interacting systems PHYSICA. A 385: 170-184 Abstract: Notes:
	M CENCINI, L PALATELLA, S PIGOLOTTI, A VULPIANI (2007) Macroscopic equations for the adiabatic piston PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 76: Abstract: Notes:
2006	DOI J PERELLO’, M MONTERO, L PALATELLA, I SIMONSEN, J MASOLIVER (2006) Entropy of the Nordic electricity market : anomalous scaling, spikes and mean-reversion JOURNAL OF STATISTICAL MECHANICS : THEORY AND EXPERIMENT Abstract: Notes:

2005	M FALCIONI, L PALATELLA, A VULPIANI (2005) The production rate of the coarse grained Gibbs entropy and the Kolmogorov-Sinai entropy : a real connection ? PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 71: Abstract: Notes:
	DOI L PALATELLA, J PERELLO, M MONTERO, J MASOLIVER (2005) Diffusion Entropy technique applied to the study of the market activity, Physica A : Statistical Mechanics and its Applications PHYSICA. A 335: 131-137 Abstract: Notes:
	M FALCIONI, L PALATELLA, S PIGOLOTTI, A VULPIANI (2005) Properties making a chaotic system a good pseudo random number generator PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 71: Abstract: Notes:
	P ALLEGRINI, G AQUINO, P GRIGOLINI, L PALATELLA, A ROSA, B J WEST (2005) Correlation function and generalized master equation of arbitrary age PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 71: Abstract: Notes:
	P ALLEGRINI, P GRIGOLINI, L PALATELLA, A ROSA, B J WEST (2005) Non-Poisson processes : regression to equilibrium versus equilibrium correlation functions PHYSICA. A 347: 268-288 Abstract: Notes:
2004	G AQUINO, L PALATELLA, P GRIGOLINI (2004) Absorption and emission in the non-Poisson case PHYSICAL REVIEW LETTERS 93: Abstract: Notes:
	P ALLEGRINI, P GRIGOLINI, L PALATELLA, B J WEST (2004) Non-Poisson dichotomous noise : Higher-order correlation functions and aging PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 70: Abstract: Notes:
	P D’AMICO, L FRONZONI, I A MAIONE, L PALATELLA (2004) Experimental defect dynamics driven by phase-gradient in liquid-crystal electro-convective patterns PHYSICA D-NONLINEAR PHENOMENA 197: 364-374 Abstract: Notes:
	M S MEGA, P ALLEGRINI, P GRIGOLINI, V LATORA, L PALATELLA, A RAPISARDA, S VINCIGUERRA (2004) Reply on Comment on "Power law time distribution of large earthquakes" by Sornette et al. PHYSICAL REVIEW LETTERS 92: Abstract: Notes:
	L PALATELLA, J PERELLO, M MONTERO, J MASOLIVER (2004) Activity autocorrelation in financial markets. A comparative study between several models THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS 38: 671-677 Abstract: Notes:

	C ACQUISTI, P ALLEGRINI, P BOGANI, M BUIATTI, E CATANESE, L FRONZONI, P GRIGOLINI, G MERSI, L PALATELLA (2004) n the search for the low-complexity sequences in prokaryotic and eukaryotic genomes : how to derive a coherent picture from global and local entropy measures CHAOS, SOLITONS AND FRACTALS 20: 127-137 Abstract: Notes:
	L PALATELLA, P ALLEGRINI, P GRIGOLINI, V LATORA, M S MEGA, A RAPISARDA, S VINCIGUERRA (2004) Non-Poisson distribution of the time distances between two consecutive clusters of earthquakes PHYSICA. A 338: 201-205 Abstract: Notes:
	P ALLEGRINI, P GRIGOLINI, L PALATELLA (2004) Intermittency and scale-free networks : a dynamical model for human language complexity CHAOS, SOLITONS AND FRACTALS 20: 95-105 Abstract: Notes:
2003	M S MEGA, P ALLEGRINI, P GRIGOLINI, V LATORA, L PALATELLA, A RAPISARDA, S VINCIGUERRA (2003) Power-law time distribution of large earthquakes PHYSICAL REVIEW LETTERS 90: Abstract: Notes:
	M BOLOGNA, P GRIGOLINI, M G PALA, L PALATELLA (2003) Decoherence, Wave Function Collapses and Non-ordinary Statistical Mechanics CHAOS, SOLITONS AND FRACTALS 17: 601-608 Abstract: Notes:
	P ALLEGRINI, B BENCI, P GRIGOLINI, P HAMILTON, M IGNACCOLO, G MENCONI, L PALATELLA, G RAFFAELLI, N SCAFETTA, M VIRGILIO, J YANG (2003) Compression and Diffusion : a Joint Approach to Detect Complexity CHAOS, SOLITONS AND FRACTALS 15: 517-535 Abstract: Notes:
	L PALATELLA, F CORNACCHIA, A TONCELLI, M TONELLI (2003) Microscopic Treatment of Upconversion in Nd$^3+$ doped samples JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. B, OPTICAL PHYSICS 20: 1708-1714 Abstract: Notes:
	P ALLEGRINI, R BALOCCHI, S CHILLEMI, P GRIGOLINI, P HAMILTON, R MAESTRI, L PALATELLA, G RAFFAELLI (2003) Long- and short-term analysis of heartbeat sequences : Correlation with mortality risk in congestive heart failure patients PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 67: Abstract: Notes:
	G AQUINO, P ALLEGRINI, P GRIGOLINI, L PALATELLA, A ROSA (2003) Generalized Master Equation via aging Continuous Time Random Walk PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 68: Abstract: Notes:
	H CANIBANO, G BOULON, L PALATELLA, Y GUYOT, A BRENIER, M VODA, R BALDA, J FERNANDEZ (2003) Spectroscopic properties of new Yb3+-doped K5Bi(MoO4)4 crystals JOURNAL OF LUMINESCENCE 102-103: 318-326 Abstract: Notes:

2002	P ALLEGRINI, R BALOCCHI, S CHILLEMI, P GRIGOLINI, L PALATELLA, G RAFFAELLI (2002) Short- and Long-Term Statistical Properties of Heartbeat Time-Series in Healthy and Pathological Subjects LECTURE NOTES IN COMPUTER SCIENCE 2526: 115-126 Abstract: Notes:
	P ALLEGRINI, P GRIGOLINI, P HAMILTON, L PALATELLA, G RAFFAELLI (2002) Memory beyond Memory in Heart Beating, a Sign of Healthy Physiological Condition PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 65: Abstract: Notes:
	F CORNACCHIA, L PALATELLA, A TONCELLI, M TONELLI, R CAPELETTI, A BARALDI, E CAVALLI, T FUKUDA, K SHIMAMURA (2002) Temperature Dependence of Impurity Quenched Luminescence in Tm$^3+$:LiLuF$_4$ JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS 63: 197-202 Abstract: Notes:
2001	L PALATELLA, DI LIETO A, P MINGUZZI, A TONCELLI, M TONELLI (2001) Er$^3+$ doped crystals : frequency analysis of nonlinear energy transfer JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. B, OPTICAL PHYSICS 18: 1711-1717 Abstract: Notes:
	P GRIGOLINI, L PALATELLA, G RAFFAELLI (2001) Asymmetric Anomalous Diffusion : an Efficient Way to Detect Memory in Time Series FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 9: 439-449 Abstract: Notes:
	P MARONI, L PALATELLA, A TONCELLI, M TONELLI (2001) Fluoride crystals : 2 $mu$m Ho$^3+$ laser emission and energy transfer mechanisms in Er$^3+$ JOURNAL OF CRYSTAL GROWTH 229: 497-500 Abstract: Notes:
	P GRIGOLINI, M G PALA, L PALATELLA (2001) Quantum measurements and entropy production PHYSICS LETTERS A 285: 49-54 Abstract: Notes:
2000	P GRIGOLINI, M G PALA, L PALATELLA, R RONCAGLIA (2000) Towards the Thermodynamics of Localizations Processes PHYSICAL REVIEW E 62: 3429-3426 Abstract: Notes:
1999	M BUIATTI, P GRIGOLINI, L PALATELLA (1999) A non-extensive approach to the entropy of symbolic sequences PHYSICA. A 268: 214-224 Abstract: Notes:
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Book chapters

2007	L PALATELLA, P PARADISI, M M MIGLIETTA, P LIONELLO (2007) Risultati preliminari di downscaling statistico delle precipitazioni invernali nella regione Puglia In: Clima e Cambiamenti Climatici, le attività del CNR 51-54 ROMA – ITA: Consiglio Nazionale delle Ricerche Abstract: Notes:
2004	P ALLEGRINI, P GRIGOLINI, L PALATELLA (2004) Cognitive scale-free networks as a model for intermittency in human natural language In: Thinking in Patterns : Fractals and Related Phenomena in Nature 119-130 SGP: World Scientific Abstract: Notes:
2002	P ALLEGRINI, P GRIGOLINI, L PALATELLA, G RAFFAELLI, M VIRGILIO (2002) Facing non-stationarity conditions with a New Indicator of Entropy Increase : the CASSANDRA Algorithm In: Emergent Nature : Patterns, Growth and Scaling in the Sciences 173-184 SGP: World Scientific Abstract: Notes: Based on presentations at the 7th international conference, Fractal 2002
Conference papers

2002	DOI P ALLEGRINI, G AQUINO, M BOLOGNA, P GRIGOLINI, PAL M G M IGNACCOLO, L PALATELLA, A ROSA, B J WEST (2002) Decoherence, Wave-Function Collapses, Non-Ordinary Statistical Mechanics and the Second Principle In: QUANTUM LIMITS TO THE SECOND LAW : First International Conference on Quantum Limits to the Second Law 72-76 USA: America Institute of Physics Abstract: Notes:

Journal articles

Book chapters

Conference papers