Edit Profile (opens in new tab) Giona, Massimiliano Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0755.60067Giona, Massimiliano; Roman, H. Eduardo 35 1992 Fractional diffusion equation on fractals: Three-dimensional case and scattering function. Zbl 0755.60068Roman, H. Eduardo; Giona, Massimiliano 24 1992 Feasibility, efficiency and transportability of short-horizon optimal mixing protocols. Zbl 1171.76054Cortelezzi, Luca; Adrover, Alessandra; Giona, Massimiliano 13 2008 The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties. Zbl 0943.76037Giona, Massimiliano; Adrover, Alessandra; Muzzio, Fernando J.; Cerbelli, Stefano; Alvarez, Mario M. 12 1999 Universality and imaginary potentials in advection-diffusion equations in closed flow. Zbl 1107.76072Giona, M.; Cerbelli, S.; Vitacolonna, V. 11 2004 Stretching-based diagnostics and reduction of chemical kinetic models with diffusion. Zbl 1123.65119Adrover, A.; Creta, F.; Giona, M.; Valorani, M. 10 2007 Dynamics and relaxation properties of complex systems with memory. Zbl 0736.58018Giona, Massimiliano 8 1991 Natural tangent dynamics with recurrent biorthonormalizations: a geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets. Zbl 1111.34042Adrover, A.; Creta, F.; Giona, M.; Valorani, M.; Vitacolonna, V. 7 2006 A continuous archetype of nonuniform chaos in area-preserving dynamical systems. Zbl 1095.37001Cerbelli, S.; Giona, M. 5 2005 Contour integrals and vector calculus on fractal curves and interfaces. Zbl 0961.26006Giona, Massimiliano 5 1999 Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part I Basic theory. Zbl 1376.82093Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 5 2017 Solution of transport schemes on fractals by means of Green function renormalization. – Application to integral quantities. Zbl 0913.65132Giona, M.; Adrover, A.; Schwalm, W. A.; Schwalm, M. K. 4 1997 Exterior algebra-based algorithms to estimate Lyapunov spectra and stretching statistics in high-dimensional and distributed systems. Zbl 1044.37052Adrover, Alessandra; Cerbelli, Stefano; Giona, Massimiliano 3 2002 Invariant geometric properties of class of 3D chaotic flows. Zbl 0959.37015Giona, M.; Adrover, A. 3 2000 Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes. II: Irreversibility, norms and entropies. Zbl 1376.82031Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 3 2017 Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part III Extensions and applications to kinetic theory and transport. Zbl 1376.82094Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 3 2017 Fast distributed average consensus algorithms based on advection-diffusion processes. Zbl 1391.93167Sardellitti, Stefania; Giona, Massimiliano; Barbarossa, Sergio 3 2010 Chemical engineering, fractal and disordered system theory: Perspectives, applications and future developments. Zbl 0909.92036Giona, Massimiliano 3 1997 Modal reduction of PDE models by means of snapshot archetypes. Zbl 1040.35089Adrover, A.; Giona, M. 3 2003 One-dimensional hyperbolic transport: positivity and admissible boundary conditions derived from the wave formulation. Zbl 1400.35175Brasiello, Antonio; Crescitelli, Silvestro; Giona, Massimiliano 2 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 0982.37056Cerbelli, Stefano; Giona, Massimiliano; Adrover, Alessandra; Alvarez, Mario M.; Muzzio, Fernando J. 2 2000 Some observations on quantum mechanics in disordered systems. Zbl 0773.58014Giona, Massimiliano 2 1993 Hydrodynamic properties of fractals: Application of the lattice Boltzmann equation to transverse flow past an array of fractal objects. Zbl 1135.76344Adrover, A.; Giona, M. 2 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 1183.76216Giona, M.; Adrover, A.; Cerbelli, S.; Garofalo, F. 2 2009 Spectral properties and universal behaviour of advecting-diffusing scalar fields in finite-length channels. Zbl 1151.76590Giona, M.; Cerbelli, S.; Creta, F. 2 2008 Analytic expression for the structure factor and for the moment-generating function of fractal sets and multifractal measures. Zbl 0916.28008Giona, Massimiliano 1 1997 Variational principles and Lagrangian functions for stochastic processes and their dissipative statistical descriptions. Zbl 1400.60100Giona, Massimiliano 1 2017 Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra. Zbl 1222.37030Adrover, A.; Creta, F.; Giona, M.; Valorani, M. 1 2005 Geometric properties of quasiperiodic orbits of 2D Hamiltonian systems. Zbl 0934.37027Adrover, A.; Giona, M. 1 1999 \(C^\infty\)-interpolation of discrete fields on regular and irregular grids. Zbl 1007.76063Giona, Massimiliano; Cerbelli, Stefano 1 2002 Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype. Zbl 1142.37008Cerbelli, S.; Giona, M. 1 2008 Characterization of stationary mixing patterns in a three-dimensional open Stokes flow: spectral properties, localization and mixing regimes. Zbl 1183.76676Giona, M.; Cerbelli, S.; Garofalo, F. 1 2009 Prediction of transport parameters in disordered structures: Towards an integrated lattice simulator. Zbl 0911.60092Giona, Massimiliano; Adrover, Alessandra 1 1994 Lie groups and solution of dynamical problems on fractal lattices. Zbl 1025.37502Schwalm, W. A.; Schwalm, M. K.; Giona, M. 1 1997 Markovian nature, completeness, regularity and correlation properties of generalized Poisson-Kac processes. Zbl 1457.82312Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 1 2017 Inertial effects and long-term transport properties of particle motion in washboard potential. Zbl 07482551Venditti, Claudia; Adrover, Alessandra; Giona, Massimiliano 1 2022 Inertial effects and long-term transport properties of particle motion in washboard potential. Zbl 07482551Venditti, Claudia; Adrover, Alessandra; Giona, Massimiliano 1 2022 Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part I Basic theory. Zbl 1376.82093Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 5 2017 Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes. II: Irreversibility, norms and entropies. Zbl 1376.82031Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 3 2017 Stochastic foundations of undulatory transport phenomena: generalized Poisson-Kac processes – Part III Extensions and applications to kinetic theory and transport. Zbl 1376.82094Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 3 2017 Variational principles and Lagrangian functions for stochastic processes and their dissipative statistical descriptions. Zbl 1400.60100Giona, Massimiliano 1 2017 Markovian nature, completeness, regularity and correlation properties of generalized Poisson-Kac processes. Zbl 1457.82312Giona, Massimiliano; Brasiello, Antonio; Crescitelli, Silvestro 1 2017 One-dimensional hyperbolic transport: positivity and admissible boundary conditions derived from the wave formulation. Zbl 1400.35175Brasiello, Antonio; Crescitelli, Silvestro; Giona, Massimiliano 2 2016 Fast distributed average consensus algorithms based on advection-diffusion processes. Zbl 1391.93167Sardellitti, Stefania; Giona, Massimiliano; Barbarossa, Sergio 3 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 1183.76216Giona, M.; Adrover, A.; Cerbelli, S.; Garofalo, F. 2 2009 Characterization of stationary mixing patterns in a three-dimensional open Stokes flow: spectral properties, localization and mixing regimes. Zbl 1183.76676Giona, M.; Cerbelli, S.; Garofalo, F. 1 2009 Feasibility, efficiency and transportability of short-horizon optimal mixing protocols. Zbl 1171.76054Cortelezzi, Luca; Adrover, Alessandra; Giona, Massimiliano 13 2008 Spectral properties and universal behaviour of advecting-diffusing scalar fields in finite-length channels. Zbl 1151.76590Giona, M.; Cerbelli, S.; Creta, F. 2 2008 Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype. Zbl 1142.37008Cerbelli, S.; Giona, M. 1 2008 Stretching-based diagnostics and reduction of chemical kinetic models with diffusion. Zbl 1123.65119Adrover, A.; Creta, F.; Giona, M.; Valorani, M. 10 2007 Natural tangent dynamics with recurrent biorthonormalizations: a geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets. Zbl 1111.34042Adrover, A.; Creta, F.; Giona, M.; Valorani, M.; Vitacolonna, V. 7 2006 A continuous archetype of nonuniform chaos in area-preserving dynamical systems. Zbl 1095.37001Cerbelli, S.; Giona, M. 5 2005 Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra. Zbl 1222.37030Adrover, A.; Creta, F.; Giona, M.; Valorani, M. 1 2005 Universality and imaginary potentials in advection-diffusion equations in closed flow. Zbl 1107.76072Giona, M.; Cerbelli, S.; Vitacolonna, V. 11 2004 Modal reduction of PDE models by means of snapshot archetypes. Zbl 1040.35089Adrover, A.; Giona, M. 3 2003 Exterior algebra-based algorithms to estimate Lyapunov spectra and stretching statistics in high-dimensional and distributed systems. Zbl 1044.37052Adrover, Alessandra; Cerbelli, Stefano; Giona, Massimiliano 3 2002 \(C^\infty\)-interpolation of discrete fields on regular and irregular grids. Zbl 1007.76063Giona, Massimiliano; Cerbelli, Stefano 1 2002 Invariant geometric properties of class of 3D chaotic flows. Zbl 0959.37015Giona, M.; Adrover, A. 3 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 0982.37056Cerbelli, Stefano; Giona, Massimiliano; Adrover, Alessandra; Alvarez, Mario M.; Muzzio, Fernando J. 2 2000 The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties. Zbl 0943.76037Giona, Massimiliano; Adrover, Alessandra; Muzzio, Fernando J.; Cerbelli, Stefano; Alvarez, Mario M. 12 1999 Contour integrals and vector calculus on fractal curves and interfaces. Zbl 0961.26006Giona, Massimiliano 5 1999 Geometric properties of quasiperiodic orbits of 2D Hamiltonian systems. Zbl 0934.37027Adrover, A.; Giona, M. 1 1999 Solution of transport schemes on fractals by means of Green function renormalization. – Application to integral quantities. Zbl 0913.65132Giona, M.; Adrover, A.; Schwalm, W. A.; Schwalm, M. K. 4 1997 Chemical engineering, fractal and disordered system theory: Perspectives, applications and future developments. Zbl 0909.92036Giona, Massimiliano 3 1997 Hydrodynamic properties of fractals: Application of the lattice Boltzmann equation to transverse flow past an array of fractal objects. Zbl 1135.76344Adrover, A.; Giona, M. 2 1997 Analytic expression for the structure factor and for the moment-generating function of fractal sets and multifractal measures. Zbl 0916.28008Giona, Massimiliano 1 1997 Lie groups and solution of dynamical problems on fractal lattices. Zbl 1025.37502Schwalm, W. A.; Schwalm, M. K.; Giona, M. 1 1997 Prediction of transport parameters in disordered structures: Towards an integrated lattice simulator. Zbl 0911.60092Giona, Massimiliano; Adrover, Alessandra 1 1994 Some observations on quantum mechanics in disordered systems. Zbl 0773.58014Giona, Massimiliano 2 1993 Fractional diffusion equation on fractals: One-dimensional case and asymptotic behaviour. Zbl 0755.60067Giona, Massimiliano; Roman, H. Eduardo 35 1992 Fractional diffusion equation on fractals: Three-dimensional case and scattering function. Zbl 0755.60068Roman, H. Eduardo; Giona, Massimiliano 24 1992 Dynamics and relaxation properties of complex systems with memory. Zbl 0736.58018Giona, Massimiliano 8 1991 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year