## Giona, Massimiliano

Compute Distance To:
 Author ID: giona.massimiliano Published as: Giona, Massimiliano; Giona, M.
 Documents Indexed: 58 Publications since 1991 2 Contributions as Editor Co-Authors: 27 Co-Authors with 47 Joint Publications 166 Co-Co-Authors
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### Co-Authors

 13 single-authored 20 Adrover, Alessandra 13 Cerbelli, Stefano 6 Brasiello, Antonio 6 Crescitelli, Silvestro 4 Creta, Francesco 3 Paglianti, Alessandro 3 Soldati, Alfredo 3 Valorani, Mauro 3 Venditti, Claudia 2 Alvarez, Mario M. 2 Giustiniani, Manuela 2 Muzzio, Fernando J. 2 Roman, H. Eduardo 2 Schwalm, M. K. 2 Schwalm, William A. 2 Vitacolonna, V. 1 Barbarossa, Sergio 1 Biardi, Giuseppe 1 Cimagalli, Valerio 1 Colace, L. 1 Cortelezzi, Luca 1 Giona, Alessandro R. 1 Ludlow, Douglas K. 1 Patierno, Oreste 1 Piccirilli, Pietro 1 Pucci, Luigi 1 Sardellitti, Stefania
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### Serials

 9 Fractals 7 Chaos, Solitons and Fractals 6 Physica A 4 Journal of Fluid Mechanics 4 Physics Letters. A 4 Physica D 4 Journal of Physics A: Mathematical and General 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Multiphase Flow 2 Journal of Computational Physics 2 Physics of Fluids 1 Nonlinearity 1 Signal Processing 1 IEEE Transactions on Signal Processing 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Mathematics in Engineering
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### Fields

 26 Dynamical systems and ergodic theory (37-XX) 19 Statistical mechanics, structure of matter (82-XX) 14 Fluid mechanics (76-XX) 9 Probability theory and stochastic processes (60-XX) 6 Measure and integration (28-XX) 5 Partial differential equations (35-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Biology and other natural sciences (92-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 183 times in 141 Documents Cited by Year
Fractional diffusion equation on fractals: One-dimensional case and asymptotic behaviour. Zbl 0755.60067
Giona, Massimiliano; Roman, H. Eduardo
1992
Fractional diffusion equation on fractals: Three-dimensional case and scattering function. Zbl 0755.60068
Roman, H. Eduardo; Giona, Massimiliano
1992
Feasibility, efficiency and transportability of short-horizon optimal mixing protocols. Zbl 1171.76054
Cortelezzi, Luca; Adrover, Alessandra; Giona, Massimiliano
2008
The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties. Zbl 0943.76037
Giona, Massimiliano; Adrover, Alessandra; Muzzio, Fernando J.; Cerbelli, Stefano; Alvarez, Mario M.
1999
Universality and imaginary potentials in advection-diffusion equations in closed flow. Zbl 1107.76072
Giona, M.; Cerbelli, S.; Vitacolonna, V.
2004
Stretching-based diagnostics and reduction of chemical kinetic models with diffusion. Zbl 1123.65119
Adrover, A.; Creta, F.; Giona, M.; Valorani, M.
2007
Dynamics and relaxation properties of complex systems with memory. Zbl 0736.58018
Giona, Massimiliano
1991
Natural tangent dynamics with recurrent biorthonormalizations: a geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets. Zbl 1111.34042
Adrover, A.; Creta, F.; Giona, M.; Valorani, M.; Vitacolonna, V.
2006
A continuous archetype of nonuniform chaos in area-preserving dynamical systems. Zbl 1095.37001
Cerbelli, S.; Giona, M.
2005
Contour integrals and vector calculus on fractal curves and interfaces. Zbl 0961.26006
Giona, Massimiliano
1999
Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part I Basic theory. Zbl 1376.82093
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
Solution of transport schemes on fractals by means of Green function renormalization. – Application to integral quantities. Zbl 0913.65132
Giona, M.; Adrover, A.; Schwalm, W. A.; Schwalm, M. K.
1997
Exterior algebra-based algorithms to estimate Lyapunov spectra and stretching statistics in high-dimensional and distributed systems. Zbl 1044.37052
Adrover, Alessandra; Cerbelli, Stefano; Giona, Massimiliano
2002
Invariant geometric properties of class of 3D chaotic flows. Zbl 0959.37015
2000
Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes. II: Irreversibility, norms and entropies. Zbl 1376.82031
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part III Extensions and applications to kinetic theory and transport. Zbl 1376.82094
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
Fast distributed average consensus algorithms based on advection-diffusion processes. Zbl 1391.93167
Sardellitti, Stefania; Giona, Massimiliano; Barbarossa, Sergio
2010
Chemical engineering, fractal and disordered system theory: Perspectives, applications and future developments. Zbl 0909.92036
Giona, Massimiliano
1997
Modal reduction of PDE models by means of snapshot archetypes. Zbl 1040.35089
2003
One-dimensional hyperbolic transport: positivity and admissible boundary conditions derived from the wave formulation. Zbl 1400.35175
Brasiello, Antonio; Crescitelli, Silvestro; Giona, Massimiliano
2016
Invariant properties of a class of exactly solvable mixing transformations — a measure-theoretical approach to model the evolution of material lines advected by chaotic flows. Zbl 0982.37056
Cerbelli, Stefano; Giona, Massimiliano; Adrover, Alessandra; Alvarez, Mario M.; Muzzio, Fernando J.
2000
Some observations on quantum mechanics in disordered systems. Zbl 0773.58014
Giona, Massimiliano
1993
Hydrodynamic properties of fractals: Application of the lattice Boltzmann equation to transverse flow past an array of fractal objects. Zbl 1135.76344
1997
Laminar dispersion at high Péclet numbers in finite-length channels: effects of the near-wall velocity profile and connection with the generalized leveque problem. Zbl 1183.76216
Giona, M.; Adrover, A.; Cerbelli, S.; Garofalo, F.
2009
Spectral properties and universal behaviour of advecting-diffusing scalar fields in finite-length channels. Zbl 1151.76590
Giona, M.; Cerbelli, S.; Creta, F.
2008
Analytic expression for the structure factor and for the moment-generating function of fractal sets and multifractal measures. Zbl 0916.28008
Giona, Massimiliano
1997
Variational principles and Lagrangian functions for stochastic processes and their dissipative statistical descriptions. Zbl 1400.60100
Giona, Massimiliano
2017
Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra. Zbl 1222.37030
Adrover, A.; Creta, F.; Giona, M.; Valorani, M.
2005
Geometric properties of quasiperiodic orbits of 2D Hamiltonian systems. Zbl 0934.37027
1999
$$C^\infty$$-interpolation of discrete fields on regular and irregular grids. Zbl 1007.76063
Giona, Massimiliano; Cerbelli, Stefano
2002
Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype. Zbl 1142.37008
Cerbelli, S.; Giona, M.
2008
Characterization of stationary mixing patterns in a three-dimensional open Stokes flow: spectral properties, localization and mixing regimes. Zbl 1183.76676
Giona, M.; Cerbelli, S.; Garofalo, F.
2009
Prediction of transport parameters in disordered structures: Towards an integrated lattice simulator. Zbl 0911.60092
1994
Lie groups and solution of dynamical problems on fractal lattices. Zbl 1025.37502
Schwalm, W. A.; Schwalm, M. K.; Giona, M.
1997
Markovian nature, completeness, regularity and correlation properties of generalized Poisson-Kac processes. Zbl 1457.82312
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
Inertial effects and long-term transport properties of particle motion in washboard potential. Zbl 07482551
Venditti, Claudia; Adrover, Alessandra; Giona, Massimiliano
2022
Inertial effects and long-term transport properties of particle motion in washboard potential. Zbl 07482551
Venditti, Claudia; Adrover, Alessandra; Giona, Massimiliano
2022
Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part I Basic theory. Zbl 1376.82093
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes. II: Irreversibility, norms and entropies. Zbl 1376.82031
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part III Extensions and applications to kinetic theory and transport. Zbl 1376.82094
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
Variational principles and Lagrangian functions for stochastic processes and their dissipative statistical descriptions. Zbl 1400.60100
Giona, Massimiliano
2017
Markovian nature, completeness, regularity and correlation properties of generalized Poisson-Kac processes. Zbl 1457.82312
Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro
2017
One-dimensional hyperbolic transport: positivity and admissible boundary conditions derived from the wave formulation. Zbl 1400.35175
Brasiello, Antonio; Crescitelli, Silvestro; Giona, Massimiliano
2016
Fast distributed average consensus algorithms based on advection-diffusion processes. Zbl 1391.93167
Sardellitti, Stefania; Giona, Massimiliano; Barbarossa, Sergio
2010
Laminar dispersion at high Péclet numbers in finite-length channels: effects of the near-wall velocity profile and connection with the generalized leveque problem. Zbl 1183.76216
Giona, M.; Adrover, A.; Cerbelli, S.; Garofalo, F.
2009
Characterization of stationary mixing patterns in a three-dimensional open Stokes flow: spectral properties, localization and mixing regimes. Zbl 1183.76676
Giona, M.; Cerbelli, S.; Garofalo, F.
2009
Feasibility, efficiency and transportability of short-horizon optimal mixing protocols. Zbl 1171.76054
Cortelezzi, Luca; Adrover, Alessandra; Giona, Massimiliano
2008
Spectral properties and universal behaviour of advecting-diffusing scalar fields in finite-length channels. Zbl 1151.76590
Giona, M.; Cerbelli, S.; Creta, F.
2008
Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype. Zbl 1142.37008
Cerbelli, S.; Giona, M.
2008
Stretching-based diagnostics and reduction of chemical kinetic models with diffusion. Zbl 1123.65119
Adrover, A.; Creta, F.; Giona, M.; Valorani, M.
2007
Natural tangent dynamics with recurrent biorthonormalizations: a geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets. Zbl 1111.34042
Adrover, A.; Creta, F.; Giona, M.; Valorani, M.; Vitacolonna, V.
2006
A continuous archetype of nonuniform chaos in area-preserving dynamical systems. Zbl 1095.37001
Cerbelli, S.; Giona, M.
2005
Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra. Zbl 1222.37030
Adrover, A.; Creta, F.; Giona, M.; Valorani, M.
2005
Universality and imaginary potentials in advection-diffusion equations in closed flow. Zbl 1107.76072
Giona, M.; Cerbelli, S.; Vitacolonna, V.
2004
Modal reduction of PDE models by means of snapshot archetypes. Zbl 1040.35089
2003
Exterior algebra-based algorithms to estimate Lyapunov spectra and stretching statistics in high-dimensional and distributed systems. Zbl 1044.37052
Adrover, Alessandra; Cerbelli, Stefano; Giona, Massimiliano
2002
$$C^\infty$$-interpolation of discrete fields on regular and irregular grids. Zbl 1007.76063
Giona, Massimiliano; Cerbelli, Stefano
2002
Invariant geometric properties of class of 3D chaotic flows. Zbl 0959.37015
2000
Invariant properties of a class of exactly solvable mixing transformations — a measure-theoretical approach to model the evolution of material lines advected by chaotic flows. Zbl 0982.37056
Cerbelli, Stefano; Giona, Massimiliano; Adrover, Alessandra; Alvarez, Mario M.; Muzzio, Fernando J.
2000
The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties. Zbl 0943.76037
Giona, Massimiliano; Adrover, Alessandra; Muzzio, Fernando J.; Cerbelli, Stefano; Alvarez, Mario M.
1999
Contour integrals and vector calculus on fractal curves and interfaces. Zbl 0961.26006
Giona, Massimiliano
1999
Geometric properties of quasiperiodic orbits of 2D Hamiltonian systems. Zbl 0934.37027
1999
Solution of transport schemes on fractals by means of Green function renormalization. – Application to integral quantities. Zbl 0913.65132
Giona, M.; Adrover, A.; Schwalm, W. A.; Schwalm, M. K.
1997
Chemical engineering, fractal and disordered system theory: Perspectives, applications and future developments. Zbl 0909.92036
Giona, Massimiliano
1997
Hydrodynamic properties of fractals: Application of the lattice Boltzmann equation to transverse flow past an array of fractal objects. Zbl 1135.76344
1997
Analytic expression for the structure factor and for the moment-generating function of fractal sets and multifractal measures. Zbl 0916.28008
Giona, Massimiliano
1997
Lie groups and solution of dynamical problems on fractal lattices. Zbl 1025.37502
Schwalm, W. A.; Schwalm, M. K.; Giona, M.
1997
Prediction of transport parameters in disordered structures: Towards an integrated lattice simulator. Zbl 0911.60092
1994
Some observations on quantum mechanics in disordered systems. Zbl 0773.58014
Giona, Massimiliano
1993
Fractional diffusion equation on fractals: One-dimensional case and asymptotic behaviour. Zbl 0755.60067
Giona, Massimiliano; Roman, H. Eduardo
1992
Fractional diffusion equation on fractals: Three-dimensional case and scattering function. Zbl 0755.60068
Roman, H. Eduardo; Giona, Massimiliano
1992
Dynamics and relaxation properties of complex systems with memory. Zbl 0736.58018
Giona, Massimiliano
1991
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### Cited by 214 Authors

 19 Giona, Massimiliano 9 Adrover, Alessandra 7 Cerbelli, Stefano 4 Froyland, Gary 4 Lebiedz, Dirk 4 Valorani, Mauro 3 Aghili, Arman 3 Alonso-Sanz, Ramón 3 Ansari, Alireza 3 Balasuriya, Sanjeeva 3 Cortelezzi, Luca 3 Creta, Francesco 3 Doering, Charles Rogers 3 D’Ovidio, Mirko 3 Gangal, Anil D. 3 Kolwankar, Kiran M. 3 Mease, Kenneth D. 3 Mulholland, Anthony J. 3 Paolucci, Samuel 3 Venditti, Claudia 2 Abdulbake, Janan 2 Aykutlug, Erkut 2 Carpinteri, Alberto 2 Cornetti, Pietro 2 Das, Subir K. 2 Edelman, Mark 2 Gerasimov, Dmitry Nikolaevich 2 Gomatam, Jagannathan 2 Gubanov, Oleg 2 Gupta, Praveen Kumar 2 Haller, George 2 Kilbas, Anatoliĭ Aleksandrovich 2 Kiss, István Z. 2 Liang, Jinrong 2 Maggia, Marco 2 Mastrangelo, Michèle 2 Mastrangelo, Victor 2 Merkin, John H. 2 Muzzio, Fernando J. 2 Naber, Mark 2 Neufeld, Zoltán 2 Qiu, Weiyuan 2 Ren, Fuyao 2 Santitissadeekorn, Naratip 2 Sturman, Rob 2 Tarasov, Vasily E. 2 Teuler, Jean-Marie 2 Topcu, Ufuk 1 Al-Khateeb, Ashraf N. 1 Alvarez, Mario M. 1 Anderson, Patrick D. 1 Anh, Vo V. 1 Arrighetti, Walter 1 Artuso, Roberto 1 Ayati, Zainab 1 Bach, Francis R. 1 Bardos, Claude Williams 1 Berthier, Raphaël 1 Biazar, Jafar 1 Bjørklund, Erik 1 Blackburn, Hugh M. 1 Bonaccorsi, Stefano 1 Boyland, Philip L. 1 Brasiello, Antonio 1 Cao, Bingyang 1 Capitanelli, Raffaela 1 Carroll, Robert Wayne 1 Chang, Huining 1 Chen, Jinghua 1 Chen, Wenting 1 Chester, Stuart 1 Chiavazzo, Eliodoro 1 Chini, Gregory P. 1 Chopard, Bastien 1 Chugunov, Vladimir 1 Ciottoli, Pietro Paolo 1 Cottevieille, D. 1 Crescitelli, Silvestro 1 de Cupis, Peter 1 Dedits, E. 1 Dehe, Sebastian 1 Demetriou, Michael A. 1 El Bashir, T. B. A. 1 Elhanbaly, Atalla M. 1 Ervik, Åsmund 1 Fahroo, Fariba 1 Fan, Jie 1 Farazmand, Mohammad 1 Florek, Charles A. 1 Fomin, Sergei A. 1 Galassi, Riccardo Malpica 1 Gao, Jinghuai 1 Gekle, Stephan 1 Gerosa, Giorgio 1 Ghosh, Pradyumna 1 Giralt, Francesc 1 Gleeson, James P. 1 Godinho, Cresus F. L. 1 González-Tokman, Cecilia 1 Gorodetsky, O. S. ...and 114 more Authors
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### Cited in 61 Serials

 13 Chaos, Solitons and Fractals 10 Journal of Fluid Mechanics 10 Physica D 9 Journal of Computational Physics 7 Physics of Fluids 7 Chaos 5 Physica A 5 Fractals 4 Applied Mathematics and Computation 4 SIAM Journal on Applied Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Mathematical Notes 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Applicable Analysis 2 International Journal of Control 2 Physics Letters. A 2 Ergodic Theory and Dynamical Systems 2 Nonlinear Dynamics 2 European Journal of Mechanics. B. Fluids 2 Communications in Nonlinear Science and Numerical Simulation 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Acta Mechanica 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Circuit Theory and Applications 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Semigroup Forum 1 Circuits, Systems, and Signal Processing 1 Journal of Economic Dynamics & Control 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Advances in Computational Mathematics 1 Complexity 1 Journal of Mathematical Chemistry 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Journal of Interdisciplinary Mathematics 1 Analysis (München) 1 Physical Review Letters 1 Journal of Evolution Equations 1 Entropy 1 Analysis and Applications (Singapore) 1 International Journal of Geometric Methods in Modern Physics 1 Science in China. Series G 1 Computational & Mathematical Methods in Medicine 1 Mathematical Modelling of Natural Phenomena 1 Asian-European Journal of Mathematics 1 Fractional Differential Calculus 1 Mathematics in Engineering 1 SIAM Journal on Mathematics of Data Science
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### Cited in 30 Fields

 41 Dynamical systems and ergodic theory (37-XX) 37 Fluid mechanics (76-XX) 33 Partial differential equations (35-XX) 22 Ordinary differential equations (34-XX) 20 Real functions (26-XX) 19 Numerical analysis (65-XX) 15 Probability theory and stochastic processes (60-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Classical thermodynamics, heat transfer (80-XX) 9 Measure and integration (28-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)