## Mate.polimi.it

**LIST OF PUBLICATIONS**
**[updated: May 2013]**
[1] A. Remuzzi, B.M. Brenner, V. Pata, G. Tebaldo, R. Mariano, A. Belloro & G. Remuzzi,

*Three-*
*dimensional reconstructed glomerular capillary network: blood ﬂow distribution and local ﬁltration*, American Journal

of Physiology

**263 **(1992), F562–F572

[2] A. Remuzzi, P. Ruggenenti, L. Mosconi, V. Pata, G. Viberti & G. Remuzzi,

*Eﬀect of low-dose Enalapril*
*on glomerular size-selectivity in human diabetic nephropathy*, Journal of Nephrology

**6 **(1993), 36–43

[3] H. Bercovici & V. Pata,

*Classical versus free domains of attractions*, Mathematical Research Letters

**2 **(1995),

[4] V. Pata,

*L´evy type characterization of stable laws for free random variables*, Transactions of the American Mathe-
matical Society

**347 **(1995), 2457–2472

[5] H. Bercovici & V. Pata,

*The law of large numbers for free identically distributed random variables*, The Annals of
Probability

**24 **(1996), 453–465

[6] V. Pata,

*Domains of partial attraction in noncommutative probability*, Paciﬁc Journal of Mathematics

**176 **(1996),

[7] V. Pata,

*The central limit theorem for free additive convolution*, Journal of Functional Analysis

**140 **(1996), 359–380

[8] V. Pata,

*A generalized weak law of large numbers for noncommuting random variables*, Indiana University Mathe-

matics Journal

**45 **(1996), 591–601

[9] F. Gazzola & V. Pata,

*A uniform attractor for a non-autonomous generalized Navier-Stokes equation*, Zeitschrift
ur Analysis und ihre Anwendungen

**16 **(1997), 435–449

[10] J.M. Lindsay & V. Pata,

*Some weak laws of large numbers in non-commutative probability*, Mathematische
Zeitschrift

**226 **(1997), 533–543

[11] V. Pata,

*A note on strong convergence of noncommuting random variables*, Bollettino della Unione Matematica
Italiana B

**11 **(1997), 141–159

[12] V. Pata,

*A remark on the decay of strongly continuous semigroups of bounded linear operators*, Rendiconti dell’Istituto
Lombardo di Scienze e Lettere A

**131 **(1997), 143–149

[13] C. Giorgi, A. Marzocchi & V. Pata,

*Asymptotic behavior of a semilinear problem in heat conduction with*
*memory*, Nonlinear Diﬀerential Equations and Applications

**5 **(1998), 333–354

[14] M. Grasselli & V. Pata,

*Longtime behavior of a homogenized model in visco-elastodynamics*, Discrete and Con-
tinuous Dynamical Systems

**4 **(1998), 339–358

[15] V. Pata,

*Sulle soluzioni a crescenza lenta di equazioni diﬀerenziali ordinarie *(in Italian), Rendiconti dell’Istituto
Lombardo di Scienze e Lettere A

**132 **(1998), 71–83

[16] V. Pata, G. Prouse & M.I. Vishik,

*Traveling waves of dissipative nonautonomous hyperbolic equations in a strip*,
Advances in Diﬀerential Equations

**3 **(1998), 249–270

[17] H. Bercovici & V. Pata,

*Stable laws and domains of attraction in free probability theory*, with an appendix by Ph.

Biane, Annals of Mathematics

**149 **(1999), 1023–1060

[18] S. Borini & V. Pata,

*Uniform attractors for a strongly damped wave equation with linear memory*, Asymptotic
Analysis

**20 **(1999), 263–277

[19] C. Giorgi, M. Grasselli & V. Pata,

*Uniform attractors for a phase-ﬁeld model with memory and quadratic*
*nonlinearity*, Indiana University Mathematics Journal

**48 **(1999), 1395–1445

[20] V. Pata & P. Ursino,

*Rearrangeable functions on the real line*, Real Analysis Exchange

**24 **(1998/99), 677–693

[21] H. Bercovici & V. Pata,

*A free analogue of Hinˇcin’s characterization of inﬁnite divisibility*, Proceedings of the
American Mathematical Society

**128 **(2000), 1011–1015

[22] H. Bercovici & V. Pata,

*Functions of regular variation and freely stable laws*, Annali di Matematica Pura ed
Applicata

**178 **(2000), 245–269

[23] H. Bercovici & V. Pata,

*Limit laws for products of free and independent random variables*, Studia Mathematica

**141 **(2000), 43–52

[24] A. Giarlotta, V. Pata & P. Ursino,

*Combinatorial and topological aspects of measure preserving homomorphisms*,
Topology Proceedings

**25 **(2000), 137–166

[25] C. Giorgi, A. Marzocchi & V. Pata,

*Uniform attractors for a non-autonomous semilinear heat equation with*
*memory*, Quarterly of Applied Mathematics

**58 **(2000), 661–683

[26] V. Pata,

*Attractors for a damped wave equation on IR*3

*with linear memory*, Mathematical Methods in the Applied
Sciences

**23 **(2000), 633–653

[27] V. Pata & E. Vuk,

*On the exponential stability of linear thermoelasticity*, Continuum Mechanics and Thermody-
namics

**12 **(2000), 121–130

[28] V. Pata, K.X. Zheng & A. Zucchi,

*On the reﬂexivity of operator algebras with isometric functional calculus*,
Journal of the London Mathematical Society

**61 **(2000), 604–616

[29] V. Pata & A. Zucchi,

*Reﬂexivity of C*0

*-operators over a multiply connected region*, Journal of Operator Theory

**43**
[30] V. Pata & A. Zucchi,

*Hyperinvariant subspaces of C*0

*-operators over a multiply connected region*, Integral Equations
and Operator Theory

**36 **(2000), 241–250

[31] V. Belleri & V. Pata,

*Attractors for semilinear strongly damped wave equations on *R3, Discrete and Continuous
Dynamical Systems

**7 **(2001), 719–735

[32] C. Giorgi, M. Grasselli & V. Pata,

*Well-posedness and longtime behavior of the phase-ﬁeld model with memory*
*in a history space setting*, Quarterly of Applied Mathematics

**59 **(2001), 701–736

noz Rivera & V. Pata,

*Global attractors for a semilinear hyperbolic equation in viscoelasticity*,
Journal of Mathematical Analysis and Applications

**260 **(2001), 83–99

[34] C. Giorgi, M.G. Naso & V. Pata,

*Exponential stability in linear heat conduction with memory: A semigroup*
*approach*, Communications in Applied Analysis

**5 **(2001), 121–134

[35] C. Giorgi & V. Pata,

*Stability of abstract linear thermoelastic systems with memory*, Mathematical Models &
Methods in Applied Sciences

**11 **(2001), 627–644

[36] C. Giorgi & V. Pata,

*Asymptotic behavior of a nonlinear hyperbolic heat equation with memory*, Nonlinear Diﬀer-
ential Equations and Applications

**8 **(2001), 157–171

[37] M. Grasselli & V. Pata,

*Upper semicontinuous attractor for a hyperbolic phase-ﬁeld model with memory*, Indiana
University Mathematics Journal

**50 **(2001), 1281–1308

[38] M. Grasselli & V. Pata,

*On the dissipativity of a hyperbolic phase-ﬁeld system with memory*, Nonlinear Analysis

**47 **(2001), 3157–3169

[39] V. Pata,

*Hyperbolic limit of parabolic semilinear heat equations with fading memory*, Zeitschrift f¨
ihre Anwendungen

**20 **(2001), 359–377

[40] V. Pata & C. Santina,

*Longtime behavior of semilinear reaction-diﬀusion equations on the whole space*, Rendiconti
del Seminario Matematico dell’Universit`
a di Padova

**105 **(2001), 233–251

[41] V. Pata & A. Zucchi,

*Attractors for a damped hyperbolic equation with linear memory*, Advances in Mathematical
Sciences and Applications

**11 **(2001), 505–529

[42] M. Grasselli & V. Pata,

*On the longterm behaviour of a parabolic phase-ﬁeld model with memory*, in “Diﬀerential
equations and control theory” (S. Aizicovici and N.H. Pavel, Eds.), pp.147–157, Lecture Notes in Pure and Appl.

Math. no.225, Marcel Dekker, New York (2002)
[43] M. Grasselli & V. Pata,

*Uniform attractors of nonautonomous systems with memory*, in “Evolution equations,
semigroups and functional analysis” (A. Lorenzi and B. Ruf, Eds.), pp.155–178, Progr. Nonlinear Diﬀerential Equa-tions Appl. no.50, Birkh¨
[44] M. Grasselli & V. Pata,

*Phase-ﬁeld system with memory eﬀects in the order parameter dynamics*, in “Mathe-
matical models and methods for smart materials” (M. Fabrizio, B. Lazzari and A. Morro, Eds.), pp.155–164, Ser. onAdv. Math. Sci. Appl. no.62, World Scientiﬁc, Singapore (2002)
[45] V. Pata & A. Villani,

*Some measurability and continuity properties of arbitrary real functions*, Le Matematiche

**57 **(2002), 63–82

[46] M. Grasselli & V. Pata,

*On the damped semilinear wave equation with critical exponent*, Dynamical systems and
diﬀerential equations (Wilmington, NC, 2002). Discrete and Continuous Dynamical Systems (suppl.) (2003), 351–358
[47] M. Grasselli & V. Pata,

*Existence of a universal attractor for a parabolic-hyperbolic phase-ﬁeld system*, Advances
in Mathematical Sciences and Applications

**13 **(2003), 443–459

[48] M. Grasselli, V. Pata & F.M. Vegni,

*Longterm dynamics of a conserved phase-ﬁeld system with memory*,
Asymptotic Analysis

**33 **(2003), 261–320

[49] S. Gatti, M. Grasselli & V. Pata,

*Exponential attractors for a phase-ﬁeld model with memory and quadratic*
*nonlinearity*, Indiana University Mathematics Journal

**53 **(2004), 719–754

[50] S. Gatti, M. Grasselli & V. Pata,

*Exponential attractors for a conserved phase-ﬁeld system with memory*, Physica
D

**189 **(2004), 31–48

[51] M. Grasselli & V. Pata,

*Existence of a universal attractor for a fully hyperbolic phase-ﬁeld system*, Journal of
Evolution Equations

**4 **(2004), 27–51

[52] M. Grasselli & V. Pata,

*Attractor for a conserved phase-ﬁeld system with hyperbolic heat conduction*, Mathematical
Methods in the Applied Sciences

**27 **(2004), 1917–1934

[53] M. Grasselli & V. Pata,

*Asymptotic behavior of a parabolic-hyperbolic system*, Communications on Pure and
Applied Analysis

**3 **(2004), 849–881

[54] M. Grasselli, V. Pata & G. Prouse,

*Longtime behavior of a viscoelastic Timoshenko beam*, Discrete and Con-
tinuous Dynamical Systems

**10 **(2004), 337–348

[55] M. Conti & V. Pata,

*Weakly dissipative semilinear equations of viscoelasticity*, Communications on Pure and
Applied Analysis

**4 **(2005), 705–720

[56] M. Conti, V. Pata & M. Squassina,

*Strongly damped wave equations on *R3

*with critical nonlinearities*, Commu-
nications in Applied Analysis

**9 **(2005), 161–176

[57] M. Conti, V. Pata & M. Squassina,

*Singular limit of dissipative hyperbolic equations with memory*, Discrete and
Continuous Dynamical Systems (suppl.) (2005), 200–208
[58] S. Gatti, C. Giorgi & V. Pata,

*Navier-Stokes limit of Jeﬀreys type ﬂows*, Physica D

**203 **(2005), 55–79

[59] S. Gatti, M. Grasselli, A. Miranville & V. Pata,

*Hyperbolic relaxation of the viscous Cahn-Hilliard equation*
*in 3-D*, Mathematical Models & Methods in Applied Sciences

**15 **(2005), 165–198

[60] S. Gatti, M. Grasselli, A. Miranville & V. Pata,

*On the hyperbolic relaxation of the one-dimensional Cahn-*
*Hilliard equation*, Journal of Mathematical Analysis and Applications

**312 **(2005), 230–247

[61] S. Gatti, M. Grasselli, A. Miranville & V. Pata,

*Memory relaxation of ﬁrst order evolution equations*,
Nonlinearity

**18 **(2005), 1859–1883

[62] S. Gatti, M. Grasselli & V. Pata,

*Lyapunov functionals for reaction-diﬀusion equations with memory*, Mathe-
matical Methods in the Applied Sciences

**28 **(2005), 1725–1735

[63] S. Gatti, M. Grasselli, V. Pata & M. Squassina,

*Robust exponential attractors for a family of nonconserved*
*phase-ﬁeld systems with memory*, Discrete and Continuous Dynamical Systems

**12 **(2005), 1019–1029

[64] C. Giorgi, M.G. Naso & V. Pata,

*Energy decay of electromagnetic systems with memory*, Mathematical Models
& Methods in Applied Sciences

**15 **(2005), 1489–1502

noz Rivera & V. Pata,

*On the energy decay of the linear thermoelastic plate with memory*,
Journal of Mathematical Analysis and Applications

**309 **(2005), 1–14

[66] M. Grasselli & V. Pata,

*Robust exponential attractors for a phase-ﬁeld system with memory*, Journal of Evolution
Equations

**4 **(2005), 465–483

[67] M. Grasselli & V. Pata,

*Attractors of phase-ﬁeld systems with memory*, in “Mathematical methods and models
in phase transitions” (A. Miranville, Ed.), pp.157–175, Nova Science Publishers, Inc., New York (2005)
[68] A. Miranville & V. Pata,

*On the semilinear wave equation with locally distributed nonlinear damping*, in “Math-
ematical approach to nonlinear phenomena; modelling, analysis and simulations”, pp.188–197, GAKUTO Internat.

Ser. Math. Sci. Appl. no.7, Gakk¯
[69] V. Pata & M. Squassina,

*On the strongly damped wave equation*, Communications in Mathematical Physics

**253**
[70] V.V. Chepyzhov, S. Gatti, M. Grasselli, A. Miranville & V. Pata,

*Trajectory and global attractors for*
*evolution equations with memory*, Applied Mathematics Letters

**19 **(2006), 87–96

[71] V.V. Chepyzhov, E. Mainini & V. Pata,

*Stability of abstract linear semigroups arising from heat conduction with*
*memory*, Asymptotic Analysis

**50 **(2006), 269–291

[72] V.V. Chepyzhov & V. Pata,

*Some remarks on stability of semigroups arising from linear viscoelasticity*, Asymptotic
Analysis

**46 **(2006), 251–273

[73] M. Conti, V. Pata & M. Squassina,

*Singular limit of diﬀerential systems with memory*, Indiana University
Mathematics Journal

**55 **(2006), 169–216

[74] S. Gatti, M. Grasselli, A. Miranville & V. Pata,

*A construction of a robust family of exponential attractors*,
Proceedings of the American Mathematical Society

**134 **(2006), 117–127

[75] S. Gatti, M. Grasselli, A. Miranville & V. Pata,

*Memory relaxation of the one-dimensional Cahn-Hilliard*
*equation*, in “Dissipative phase transitions” (P. Colli, N. Kenmochi and J. Sprekels, Eds.), pp.101–114, Ser. Adv.

Math. Appl. Sci. 71, World Sci. Publ., Hackensack, NJ (2006)
[76] S. Gatti & V. Pata,

*A one-dimensional wave equation with nonlinear damping*, Glasgow Mathematical Journal

**48**
[77] M. Grasselli & V. Pata,

*A reaction-diﬀusion equation with memory*, Discrete and Continuous Dynamical Systems

**15 **(2006), 1079–1088

[78] V. Pata,

*Exponential stability in linear viscoelasticity*, Quarterly of Applied Mathematics

**64 **(2006), 499–513

[79] V. Pata & S. Zelik,

*A remark on the damped wave equation*, Communications on Pure and Applied Analysis

**5**
[80] V. Pata & S. Zelik,

*Global and exponential attractors for 3-D wave equations with displacement dependent damping*,
Mathematical Methods in the Applied Sciences

**29 **(2006), 1291–1306

[81] V. Pata & S. Zelik,

*Smooth attractors for strongly damped wave equations*, Nonlinearity

**19 **(2006), 1495–1506

[82] S. D’Asero, V. Pata & P. Ursino,

*On a generalized notion of diﬀerentiability*, Real Analysis Exchange

**32**
[83] M. Conti, S. Gatti & V. Pata,

*Decay rates of Volterra equations on *R

*N *, Central European Journal of Mathematics

**5 **(2007), 720–732

[84] M. Grasselli, A. Miranville, V. Pata & S. Zelik,

*Well-posedness and long time behavior of a parabolic-*
*hyperbolic phase-ﬁeld system with singular potentials*, Mathematische Nachrichten

**280 **(2007), 1475–1509

[85] A. Miranville, V. Pata & S. Zelik,

*Exponential attractors for singularly perturbed damped wave equations: a*
*simple construction*, Asymptotic Analysis

**53 **(2007), 1–12

[86] V. Pata & S. Zelik,

*A result on the existence of global attractors for semigroups of closed operators*, Communications
on Pure and Applied Analysis

**6 **(2007), 481–486

[87] V. Pata & S. Zelik,

*Attractors and their regularity for 2-D wave equations with nonlinear damping*, Advances in
Mathematical Sciences and Applications

**17 **(2007), 225–237

[88] V.V. Chepyzhov, V. Pata, & M.I. Vishik,

*Averaging of nonautonomous damped wave equations with singularly*
*oscillating external forces*, Journal de Math´
ees

**90 **(2008), 469–491

[89] M. Conti, S. Gatti & V. Pata,

*Uniform decay properties of linear Volterra integro-diﬀerential equations*, Mathe-
matical Models & Methods in Applied Sciences

**18 **(2008), 21–45

[90] F. Di Plinio & V. Pata,

*Robust exponential attractors for the strongly damped wave equation with memory. I*,
Russian Journal of Mathematical Physics

**15 **(2008), 301–315

[91] F. Di Plinio, V. Pata & S. Zelik,

*On the strongly damped wave equation with memory*, Indiana University
Mathematics Journal

**57 **(2008), 757–780

[92] S. Gatti, A. Miranville, V. Pata & S. Zelik,

*Attractors for semilinear equations of viscoelasticity with very low*
*dissipation*, Rocky Mountain Journal of Mathematics

**38 **(2008), 1117–1138

[93] C. Giorgi, V. Pata & E. Vuk,

*On the extensible viscoelastic beam*, Nonlinearity

**21 **(2008), 713–733

[94] M.I. Vishik, V. Pata & V.V. Chepyzhov,

*Time averaging of global attractors for nonautonomous wave equations*
*with singularly oscillating external forces *(in Russian), Doklady Akademii Nauk

**422 **(2008), 164–168

[95] V.V. Chepyzhov, V. Pata & M.I. Vishik,

*Averaging of 2D Navier-Stokes equations with singularly oscillating*
*forces*, Nonlinearity

**22 **(2009), 351–370

[96] M. Conti & V. Pata,

*On the regularity of global attractors*, Discrete and Continuous Dynamical Systems

**25 **(2009),

[97] F. Di Plinio & V. Pata,

*Robust exponential attractors for the strongly damped wave equation with memory. II*,
Russian Journal of Mathematical Physics

**16 **(2009), 61–73

[98] S. Gatti, V. Pata & S. Zelik,

*A Gronwall-type lemma with parameter and dissipative estimates for PDEs*, Non-
linear Analysis

**70 **(2009), 2337–2343

[99] C. Giorgi, M.G. Naso, V. Pata & M. Potomkin

*Global attractors for the extensible thermoelastic beam system*,
Journal of Diﬀerential Equations

**246 **(2009), 3496–3517

[100] V. Pata,

*Gradient systems of closed operators*, Central European Journal of Mathematics

**7 **(2009), 487–492

[101] V. Pata,

*Stability and exponential stability in linear viscoelasticity*, Milan Journal of Mathematics

**77 **(2009), 333–360

[102] M. Conti, S. Gatti, M. Grasselli & V. Pata,

*Two-dimensional reaction-diﬀusion equations with memory*,
Quarterly of Applied Mathematics

**68 **(2010), 607-643

[103] M. Conti, E.M. Marchini & V. Pata,

*Semilinear wave equations of viscoelasticity in the minimal state framework*,
Discrete and Continuous Dynamical Systems

**27 **(2010), 1535–1552

[104] M. Coti Zelati, C. Giorgi & V. Pata,

*Steady states of the hinged extensible beam with external load*, Mathematical
Models & Methods in Applied Sciences

**20 **(2010), 43–58

[105] M. Coti Zelati, V. Pata & R. Quintanilla,

*Regular global attractors of type III thermoelastic extensible beams*,
Chinese Annals of Mathematics - Series B

**31 **(2010), 619–630

[106] M. Fabrizio, C. Giorgi & V. Pata,

*A new approach to equations with memory*, Archive for Rational Mechanics
and Analysis

**198 **(2010), 189–232

[107] S. Gatti, A. Miranville, V. Pata & S. Zelik,

*Continuous families of exponential attractors for singularly*
*perturbed equations with memory*, Proceedings of the Royal Society of Edinburgh: Section A Mathematics

**140A**

(2010), 329–366

[108] V. Pata,

*Exponential stability in linear viscoelasticity with almost ﬂat memory kernels*, Communications on Pure
and Applied Analysis

**9 **(2010), 721–730

[109] V. Pata & R. Quintanilla,

*On the decay of solutions in nonsimple elastic solids with memory*, Journal of Mathe-
matical Analysis and Applications

**363 **(2010), 19–28

[110] M.D. Chekroun, F. Di Plinio, N.E. Glatt-Holtz & V. Pata,

*Asymptotics of the Coleman-Gurtin model*,
Discrete and Continuous Dynamical Systems - Series S

**4 **(2011), 351–369

[111] F. Dell’Oro & V. Pata,

*Long-term analysis of strongly damped nonlinear wave equations*, Nonlinearity

**24 **(2011),

[112] E. Laeng & V. Pata,

*A convergence-divergence test for series of nonnegative terms*, Expositiones Mathematicae

**29 **(2011), 420–424

[113] V. Pata,

*Uniform estimates of Gronwall type*, Journal of Mathematical Analysis and Applications

**373 **(2011),

[114] V. Pata,

*A ﬁxed point theorem in metric spaces*, Journal of Fixed Point Theory and Applications

**10 **(2011), 299–305

[115] V.V. Chepyzhov, M. Conti & V. Pata,

*A minimal approach to the theory of global attractors*, Discrete and
Continuous Dynamical Systems

**32 **(2012), 2079–2088

[116] M. Conti, E.M. Marchini & V. Pata,

*Approximating inﬁnite delay with ﬁnite delay*, Communications in Con-
temporary Mathematics

**14 **(2012), no.1250012

[117] F. Dell’Oro & V. Pata,

*Strongly damped wave equations with critical nonlinearities*, Nonlinear Analysis

**75 **(2012),

[118] F. Dell’Oro & V. Pata,

*Memory relaxation of type III thermoelastic extensible beams and Berger plates*, Evolution
Equations and Control Theory

**1 **(2012), 251–270

[119] V. Pata,

*On the regularity of solutions to the Navier-Stokes equations*, Communications on Pure and Applied Analysis

**11 **(2012), 747–761

[120] M. Conti, E.M. Marchini & V. Pata,

*Exponential stability for a class of linear hyperbolic equations with hereditary*
*memory*, Discrete and Continuous Dynamical Systems - Series B

**18 **(2013), 1555–1565

[121] M. Coti Zelati, F. Dell’Oro & V. Pata,

*Energy decay of type III linear thermoelastic plates with memory*,
Journal of Mathematical Analysis and Applications

**401 **(2013), 357–366

[122] V.V. Chepyzhov, M. Conti & V. Pata,

*Totally dissipative dynamical processes and their uniform global attractors*,
Communications on Pure and Applied Analysis
[123] M. Conti, E.M. Marchini & V. Pata,

*Reaction-diﬀusion with memory in the minimal state framework*, Transac-
tions of the American Mathematical Society
[124] M. Conti, V. Pata & R. Temam,

*Attractors for processes on time-dependent spaces. Applications to wave equations*,
[125] C. Giorgi, D. Grandi & V. Pata,

*On the Green-Naghdi type III heat conduction model*, Discrete and Continuous

**Preprints**
[126] M. Conti, F. Dell’Oro & V. Pata,

*Timoshenko systems with fading memory*[127] M. Conti, E.M. Marchini & V. Pata,

*Nonclassical diﬀusion with memory*[128] M. Conti & V. Pata,

*Asymptotic structure of the attractor for processes on time-dependent spaces*[129] F. Dell’Oro, J.E. Mu˜
noz Rivera & V. Pata,

*Exponential and polynomial stability of linear thermoelastic plates*
[130] F. Dell’Oro & V. Pata,

*On the stability of Timoshenko systems with Gurtin-Pipkin thermal law*
Source: http://www.mate.polimi.it/viste/pagina_personale/pp/121/Lavori.pdf

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