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Giona, Massimiliano

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Author ID: giona.massimiliano Recent zbMATH articles by "Giona, Massimiliano"
Published as: Giona, Massimiliano; Giona, M.

Publications by Year

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

Citations by Year