Guido Gentile
Publications
1. Published or accepted papers
- G. Gentile, B. Scoppola
Renormalization group and the ultraviolet problem
in the Luttinger liquid
Communications in Mathematical Physics
154 (1993), no. 1, 135-179. [MR1220952 (95a:81177)].
- G. Gallavotti, G. Gentile
Majorant series convergence for twistless KAM tori
Ergodic Theory and Dynamical Systems
15 (1995), no. 5, 857-869. [MR1356618 (96h:58152)].
- G. Gentile
A proof of existence of whiskered tori with quasi flat homoclinic
intersections in a class of almost integrable hamiltonian systems
Forum Mathematicum
7 (1995), no. 6, 709-753. [MR1359423 (97a:58164b)].
- G. Gentile
Whiskered tori with prefixed frequencies and Lyapunov spectrum
Dynamics and Stability of Systems
10 (1995), no. 3, 269-308. [MR1356323 (97a:58164a)].
- G. Gallavotti, G. Gentile, V. Mastropietro
Field Theory and KAM tori
Mathematical Physics Electronic Journal
1 (1995), Paper 5, pp. 13 (electronic). [MR1359460 (97b:81072)].
- G. Gentile, V. Mastropietro
Tree expansion and multiscale analysis for KAM tori
Nonlinearity
8 (1995), no. 6, 1159-1178. [MR1363405 (97c:58137)].
- G. Gentile, V. Mastropietro
KAM theorem revisited
Physica D
90 (1996), no. 3, 225-234. [MR1372451 (96k:58194)].
- G. Gentile, V. Mastropietro
Methods of analysis of the Lindstedt series for
KAM tori and renormalizability in classical mechanics.
A review with some applications
Reviews in Mathematical Physics
8 (1996), no. 3, 393-444. [MR1388257 (98f:58169)].
- G. Benfatto, G. Gentile, V. Mastropietro
Electrons in a lattice with an incommensurate potential
Journal of Statistical Physics
89 (1997), no. 3-4, 655-708. [MR1658711 (99g:82025)].
- G. Gentile
Large deviation rule for Anosov flow
Forum Mathematicum
10 (1998), no. 1, 89-118. [MR1490140 (98i:58180)].
- F. Bonetto, G. Gallavotti, G. Gentile, V. Mastropietro
Quasi linear flows on tori: regularity of their linearization
Communications in Mathematical Physics
192 (1998), no. 3, 707-736. [MR1620547 (99e:58148)].
- F. Bonetto, G. Gallavotti, G. Gentile, V. Mastropietro
Lindstedt series, ultraviolet divergences and Moser's theorem
Annali della Scuola Normale Superiore di Pisa
Classe Scienze (Serie 4)
26 (1998), no. 3, 545-593. [MR1635706 (99i:58132)].
- G. Benfatto, G. Gentile, V. Mastropietro
Peierls instability for the Holstein model with rational density
Journal of Statistical Physics
92 (1998), no. 5-6, 1071-1113. [MR1657864 (99h:82074)].
- A. Berretti, G. Gentile
Scaling properties for the radius of convergence
of a Lindstedt series: the standard map
Journal de Mathématiques Pures et Appliquées (9)
78 (1999), no. 2, 159-176. [MR1677673 (2000c:37054)].
- G. Gallavotti, G. Gentile, V. Mastropietro
Separatrix splitting for systems with three time scales
Communications in Mathematical Physics
202 (1999), no. 1, 197-236. [MR1686531 (2000c:37086)].
- G. Gallavotti, G. Gentile, V. Mastropietro
Melnikov's approximation dominance. Some examples
Reviews in Mathematical Physics
11 (1999), no. 4, 451-461. [MR1682687 (2001a:37087)].
- F. Bonetto, G. Gentile
On a conjecture for the critical behaviour of KAM tori
Mathematical Physics Electronic Journal
5 (1999), Paper 4, 8 pp. (electronic). [MR1713650 (2000g:37083)].
- G. Gallavotti, G. Gentile, V. Mastropietro
A field theory approach to Lindstedt series
for hyperbolic tori in three time scales problems
Journal of Mathematical Physics
40 (1999), no. 12, 6430-6472. [MR1725867 (2001e:37077].
- G. Gallavotti, G. Gentile, V. Mastropietro
On homoclinic splitting problems
Physica D
137 (2000), no. 1-2, 202-204. [MR1738773 (2000m:37122)].
- G. Gallavotti, G. Gentile, V. Mastropietro
Hamilton-Jacobi equation, heteroclinic chains and
Arnol'd diffusion in three time scale systems
Nonlinearity
13 (2000), no. 2, 323-340. [MR1745371 (2000m:37121)].
- F. Bonetto, G. Gentile, V. Mastropietro
Electric fields on a surface of constant negative curvature
Ergodic Theory and Dynamical Systems
20 (2000), no. 3, 681-696. [MR1764922 (2001b:37036)].
- A. Berretti, G. Gentile
Scaling properties for the radius of convergence
of a Lindstedt series: generalized standard maps
Journal de Mathématiques Pures et Appliquées (9)
79 (2000), no. 7, 691-713. [MR1776500 (2001g:37087)].
- G. Gentile, V. Mastropietro
Anderson localization for the Holstein model
Communications in Mathematical Physics
215 (2000), no. 1, 69-103. [MR1800918 (2002m:82011)].
- A. Berretti, C. Falcolini, G. Gentile
The shape of analyticity domains of Lindstedt series:
the standard map
Physical Review E
64 (2001), 015202(R). [MR1860713 (2002h:37118)].
- A. Berretti, G. Gentile
Bryuno function and the standard map
Communications in Mathematical Physics
220 (2001), no. 3, 623-656. [MR1843777 (2002j:37053)]
- A. Berretti, G. Gentile
Non-universal behaviour of scaling properties for
generalized semistandard and standard maps
Nonlinearity
14 (2001), no. 5, 1029-1039. [MR1862810 (2002h:37100)].
- G. Gentile, V. Mastropietro
Renormalization Group for one-dimensional fermions.
A review on mathematical results
Physics Reports
352 (2001), no. 4-6, 273-437. [MR1862624 (2002h:81152)].
- M. Bartuccelli, G. Gentile, K.V. Georgiou
On the dynamics of a vertically driven damped planar pendulum
The Royal Society of London. Proceedings. Series A.
Mathematical, Physical and Engineering Sciences
457 (2001), no. 2016, 3007-3022. [MR1875091 (2002j:70030)].
- A. Berretti, G. Gentile
Renormalization Group and field theoretic techniques
for the analysis of the Lindstedt series
Regular and Chaotic Dynamics
6 (2001), no. 4, 389-420. [MR1876532 (2003c:37084)].
- M. Bartuccelli, G. Gentile, K.V. Georgiou
On the stability of the upside-down pendulum
The Royal Society of London. Proceedings. Series A.
Mathematical, Physical and Engineering Sciences
458 (2002), no. 2018, 255-269. [MR1889767 (2002m:70032)].
- M. Bartuccelli, G. Gentile
Lindstedt series for perturbations of isochronous systems.
A review of the general theory
Reviews in Mathematical Physics
14 (2002), no. 2, 121-171. [MR1883555 (2003a:37081)].
- G. Gallavotti, G. Gentile
Hyperbolic low-dimensional invariant tori and summations
of divergent series
Communications in Mathematical Physics
227 (2002), no. 3, 421-460. [MR1910826 (2004f:37082)].
- A. Berretti, G. Gentile
Periodic and quasi-periodic orbits for the standard map
Communications in Mathematical Physics
231 (2002), no. 1, 135-156. [MR1947694 (2003k:37091)].
- M. Bartuccelli, G. Gentile, K.V. Georgiou
KAM theory, Lindstedt series and the stability
of the upside-down pendulum
Discrete and Continuous Dynamical Systems Series A
9 (2003), no. 2, 413-426. [MR1952383 (2003k:37090)].
- M. Bartuccelli, G. Gentile
On a class of integrable time-dependent dynamical systems
Physics Letters A
307 (2003), no. 5-6, 274-280. [MR1975826 (2004b:34085)].
- G. Gentile
Quasi-periodic solutions for two-level systems
Communications in Mathematical Physics
242 (2003), no. 1-2, 221-250. [MR2018273 (2005a:81272)].
- A. Berretti, G. Gentile
Scaling of the critical function for the standard map:
some numerical results
Nonlinearity
17 (2004), no. 2, 649-670. [MR2039064 (2005i:37046)].
- M. Bartuccelli, J. Deane, G. Gentile, S. Gourley
Global attraction to the origin in a parametrically-driven
nonlinear oscillator
Applied Mathematics and Computation
153 (2004), no. 1, 1-11. [MR2063138 (2005d:34077)]
- G. Gentile
Pure point spectrum for two-level systems in a
strong quasi-periodic field
Journal of Statistical Physics
115 (2004), no. 5-6, 1605-2620. [MR2066293 (2005m:81352)].
- G. Gentile, V. Mastropietro
Convergence of Lindstedt series for the nonlinear wave equation
Communications on Pure and Applied Mathematics
3 (2004), no. 3, 509-514. [MR2098299 (2005g:35216)].
- G. Gentile, V. Mastropietro
Construction of periodic solutions of the nonlinear wave equation with
Dirichlet boundary conditions by the Lindstedt series method
Journal de Mathématiques Pures et Appliquées (9)
83 (2004), no. 8, 1019-1065. [MR2082491].
- G. Gentile, V. Mastropietro, M. Procesi
Periodic solutions for completely resonant nonlinear
wave equations with Dirichlet boundary conditions
Communications in Mathematical Physics
256 (2005), no. 2, 437-490. [MR2160800 (2006m:35250)].
- G. Gentile, G. Gallavotti
Degenerate elliptic resonances
Communications in Mathematical Physics
257 (2005), no. 2, 319-362. [MR2164602 (2006e:37111)].
- G. Gentile, M.V. Bartuccelli, J.H.B. Deane
Summation of divergent series and Borel summability
for strongly dissipative equations with periodic or
quasi-periodic forcing terms
Journal of Mathematical Physics
46 (2005), no. 6, 062704, 21 pp. [MR2149832 (2006d:34118)].
- G. Gentile, D.A. Cortez, J.C.A. Barata
Stability for quasi-periodically perturbed Hill's equations
Communications in Mathematical Physics
260 (2005), no. 2, 403-443. [MR2177325].
- G. Gentile, T.S. van Erp
Breakdown of Lindstedt expansion for chaotic maps
Journal of Mathematical Physics
46 (2005), no. 10, 102702, 20 pp. [MR2178594 (2006e:37051)].
- M.V. Bartuccelli, J.H.B. Deane, G. Gentile, L. Marsh
Invariant sets for the varactor equation
Proceedings of The Royal Society of London. Series A.
Mathematical, Physical and Engineering Sciences
462 (2006), no. 2066, 439-457.
- G. Gallavotti, G. Gentile, A. Giuliani
Fractional Lindstedt series
Journal of Mathematical Physics
47 (2006), no. 1, 012702, 33 pp. [MR2201793 (2006j:37069)].
- G. Gentile, M. Procesi
Conservation of resonant periodic solutions for the
one-dimensional nonlinear Schrödinger equation
Communications in Mathematical Physics
262 (2006), no. 3, 533-553. [MR2202301 (2006k:35273)].
- G. Gentile, M.V. Bartuccelli, J.H.B. Deane
Quasi-periodic attractors, Borel summability and
the Bryuno condition for strongly dissipative systems
Journal of Mathematical Physics
47 (2006), no. 7, 072702, 10 pp. [MR2250293 (2007j:34091)].
- G. Gentile
Resummation of perturbation series and reducibility
for Bryuno skew-product flows
Journal of Statistical Physics.
125 (2006), no. 2, 321-361. [MR2270014 (2007m:34102)].
- O. Costin, G. Gallavotti, G. Gentile, A. Giuliani
Borel summability and Lindstedt series
Communications in Mathematical Physics,
269 (2007), no. 1, 175-193. [MR2274467 (2007m:37132)].
- M.V. Bartuccelli, J.H.B. Deane, G. Gentile
Globally and locally attractive solutions
for quasi-periodically forced systems
Journal of Mathematical Analysis and Applications
328 (2007), no. 1, 699-714. [MR2285578 (2007k:34171)]
- G. Gentile
Degenerate lower-dimensional tori under the Bryuno condition
Ergodic Theory and Dynamical Systems
27 (2007), no. 2, 427-457. [MR2308140].
- G. Gentile, M.V. Bartuccelli, J.H.B. Deane
Bifurcation curves of subharmonic solutions
and Melnikov theory under degeneracies
Reviews in Mathematical Physics
19 (2007), no. 3, 307-348. [MR2316536 (2008c:34084)].
- M.V. Bartuccelli, J.H.B. Deane, G. Gentile
Bifurcation phenomena and attractive periodic solutions in the
saturating inductor circuit
Proceedings of The Royal Society of London
463 (2007), no. 2085, 2351-2369. [MR2345231].
- M.V. Bartuccelli, J.H.B. Deane, G. Gentile
Periodic attractors for the varactor equation
Dynamical Systems
22 (2007), no. 3, 365-377. [MR2354971 (2008g:34076)].
- F. Bonetto, G. Gallavotti, G. Gentile
A fluctuation theorem in a random environment
Ergodic Theory and Dynamical Systems
28 (2008), no. 1, 21-47. [MR2380301 (2009k:82054)].
- M. Bartuccelli, A. Berretti, J. Deane, G. Gentile, S. Gourley
Selection rules for periodic orbits and
scaling laws for a forced damped quartic oscillator
Nonlinear Analysis. Real World Applications
9 (2008), no. 5, 1966-1988. [MR2441763 (2009g:34144)].
- G. Gentile, M. Procesi
Periodic solutions for the Schrödinger equation with
nonlocal smoothing nonlinearities in higher dimension
Journal of Differential Equations
245 (2008), no. 11, 3095-3544. [MR2460026 (2009g:35304)].
- L. Corsi, G. Gentile
Melnikov theory to all orders and Puiseux series
for subharmonic solutions
Journal of Mathematical Physics
49 (2008), no. 11, 112701, 29 pp. [MR2468529 (2009m:37141)].
- M.V. Bartuccelli, J.H.B. Deane, G. Gentile
Frequency locking in an injection-locked frequency divider equation
Proceedings of The Royal Society of London
Series A. Mathematical, Physical and Engineering Sciences
465 (2009), no. 2101, 283--306. [MR2461376 (2010d:94170)].
- G. Gentile, M. Procesi
Periodic solutions for a class of nonlinear partial
differential equations in higher dimension
Communications in Mathematical Physics
289 (2009), no. 3, 863-906. [MR2511654 (2010i:35370)].
- G. Gentile
Quasi-periodic motions in strongly dissipative forced systems
Ergodic Theory and Dynamical Systems
30 (2010), no. 5, 1457-1469. [MR2718902 (2011m:70042)].
- G. Gentile
Quasi-periodic motions in dynamical systems. Review of a renormalisation group approach
Journal of Mathematical Physics
51 (2010), no. 1, 015207, 34 pp. [MR2605840 (2011b:37114)].
- M.V. Bartuccelli, J.H.B. Deane, G. Gentile, F. Schilder
Arnold tongues for a resonant injection-locked frequency divider:
analytical and numerical results
Nonlinear Analysis. Real World Applications
11 (2010), no. 5, 3344-3362. [MR2683794 (2011h:37089)].
- L. Corsi, G. Gentile, M. Procesi
KAM theory in configuration space and cancellations in the Lindstedt series
Communications in Mathematical Physics
302 (2011), no. 2, 359-402. [MR2770017 (2012a:37120)].
- G. Gentile
Construction of quasi-periodic response solutions in forced strongly dissipative systems
Forum Mathematicum
24 (2012), no. 4, 791-808. [MR2949124].
- G. Gallavotti, G. Gentile, A. Giuliani
Resonances within chaos
Chaos
22 (2012), no. 2, 026108, 6 pp.
- M. Bartuccelli, H. Deane, G. Gentile
Attractiveness of periodic orbits in parametrically forced systems with time-increasing friction
Journal of Mathematical Physics
53 (2012), no. 10, 102603, 27 pp. [MR3050588].
- L. Corsi, G. Gentile
Oscillator synchronisation under arbitrary quasi-periodic forcing
(previously
Response solutions for arbitrary quasi-periodic perturbations with Bryuno frequency vector)
Communications in Mathematical Physics.
316 (2012), no. 2, 489-529. [MR2993923].
- L. Corsi, R. Feola, G. Gentile
Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions
Journal of Statistical Physics
150 (2013), no. 1, 156-189. [MR3018881].
- M. Bartuccelli, G. Gentile, J.A. Wright
On a class of Hill's equations having explicit solutions
Applied Mathematics Letters
26 (2013), no. 10, 1026-1030. [MR3078988].
- L. Corsi, R. Feola, G. Gentile
Domains of analyticity for response solutions in strongly dissipative forced systems
Journal of Mathematical Physics
54 (2013), no. 12, 122701, 7 pp.
- L. Corsi, R. Feola, G. Gentile
Convergent series for quasi-periodically forced strongly dissipative systems
accettato per la pubblicazione da
Communications in Contemporary Mathematics.
- J.A. Wright, M. Bartuccelli, G. Gentile
The effects of time-dependent dissipation on the basins of attraction
for the pendulum with oscillating support
Nonlinear Dynamics
77 (2014), no. 4, 1377-1409. [MR3247484].
- M. Bartuccelli, J. Deane, G. Gentile
The high-order Euler method and the spin-orbit model
Celestial Mechanics and Dynamical Astronomy
121 (2015), 233-260. [MR3306067].
- L. Corsi, G. Gentile
Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
Ergodic Theory and Dynamical Systems
35 (2015), no. 4, 1079-1140. [MR3345165].
- J.A. Wright, J.H.B. Deane, M. Bartuccelli, G. Gentile
Basins of attraction in forced systems with time-varying dissipation
Communications in Nonlinear Science and Numerical Simulation
29 (2015), 72-87. [MR3368016].
- G. Gentile
Invariant curves for exact symplectic twist maps of the cylinder with Bryuno rotation numbers
Nonlinearity
28 (2015), no. 7, 2555-2585. [MR3511156].
- L. De Carlo, G. Gentile, A. Giuliani
Construction of the Lyapunov spectrum in a chaotic system displaying phase synchronization
Mathematical Physics, Analysis and Geometry
19 (2016), no. 2, art. 10, 23 pp. [MR3507583].
- M. Bartuccelli, G. Gentile, J.A. Wright
Stable dynamics in forced systems with sufficiently high/low driving frequency
Chaos
26 (2016), no. 8, 083108, 7pp. [MR3534822].
- L. Corsi, G. Gentile
Resonant tori of arbitrary codimension for quasi-periodically forced systems
Nonlinear Differential Equations and Applications
24 (2017), no. 1, 24:3. [MR3584590].
- J.A. Wright, M. Bartuccelli, G. Gentile
Comparisons between the pendulum with varying length and the pendulum with oscillating support
Journal of Mathematical Analysis and Applications
449 (2017), no. 2, 1685-1707. [MR3601611].
- G. Gentile, F. Vaia
Response solutions for forced systems with large dissipation and arbitrary frequency vector
Journal of Mathematical Physics
58 (2017), no. 2, 022703, 14 pp. [MR3613305].
- Bartuccelli, J. Deane, G. Gentile
Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque
Monthly Notices of the Royal Astronomical Society
469 (2017), no. 1, 127-150.
- M. Bartuccelli, J. Deane, G. Gentile
Fast numerics for the spin orbit equation with realistic tidal dissipation and constant eccentricity
Celestial Mechanics and Dynamical Astronomy
128 (2017), no. 4, 453-473. [MR3679367].
- J.H.B. Deane, R.D.I.G. Dharmasena, G. Gentile
Power computation for the triboelectric nanogenerator
Nano Energy
54 (2018), 39-49.
- G. Gentile, A. Mazzoccoli, F. Vaia
Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension
Communications in Contemporary Mathematics
21 (2019), no. 7, 1850064, 22 pp.
- M. Bartuccelli, J. Deane, G. Gentile
Explicit estimates on the torus for the sup-norm and the crest factor of solutions of
the Modified Kuramoto-Sivashinky Equation in one and two space dimensions
Journal of Dynamics and Differential Equations
32 (2020), no. 2, 791-807. [MR4094995].
- G. Gentile, F. Vaia
Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies
Journal of Differential Equations
282 (2021), 370-406. [MR4219324].
- M. Bartuccelli, G. Gentile
On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations
Mathematical Biosciences and Engineering
19 (2022), no. 8, 8273-8287. [MR4437590].
2. Proceedings
- G. Gentile, V. Mastropietro
A possible mechanism for the KAM tori breakdown
Hamiltonian systems with three or more degrees of freedom,
Proceedings of NATO Adv.Sci.Ins. Ser. C Math. Phys. Sci.
(S'Agaró, Spagna, 19-30 Giugno 1995), 388-392,
Ed. C. Simó,
Kluwer, Dordrecht, Holland, 1999. [MR1720915].
- G. Gentile
Diagrammatic techniques in perturbation theory, and applications
Symmetry and Perturbation Theory
(Rome, 16-22 Dicembre 1998), 59-78,
Eds. A. Degasperis and G. Gaeta,
World Scientific, Singapore, 1999. [MR1844106 (2002h:37122)].
- G. Gentile
Renormalization Group and Summation of Divergent Series
for Hyperbolic Invariant Tori
SPT 2002: Symmetry and Perturbation Theory
(Cala Gonone, 19-26 Maggio 2002), 82-89,
Eds. S. Abenda, G. Gaeta, and S. Walcher,
World Scientific, Singapore, 2003. [MR1976659 (2004c:37143)].
- G. Gentile
Un nuovo approccio ai sistemi dinamici
Stato della ricerca e sviluppi futuri.
I primi dieci anni di attività della Facoltà
di Scienze M.F.N. di Roma Tre
(Roma, 20-22 Novembre 2002), 289-298,
Aracne Editrice, Roma, 2003.
- G. Gentile
Periodic solutions for zero-mass nonlinear wave equations
SPT 2004: Symmetry and Perturbation Theory
(Cala Gonone, 19-26 Maggio 2004), 115-123,
Eds. G. Gaeta, B. Prinari, S. Rauch-Wojciechowski, and S.
Terracini,
World Scientific, Hackensack, NJ, 2005. [MR2331213
(2008d:35135)].
- G. Gentile
Bryuno numbers and dynamical systems
Frontiers in Number Theory, Physics, and Geometry,
Vol. I: On random matrices, zeta functions, and dynamical
systems
(Les Houches, 9-21 Marzo 2003), 585-599,
Eds. P.E. Cartier, B. Julia, P. Moussa, and P. Vanhove,
Springer, Berlin, 2006. [MR2261105 (2008g:37001)].
3. Books
- G. Gallavotti, F. Bonetto, G. Gentile
Aspects of the ergodic, qualitative and statistical theory of motion
Springer, Berlin, 2004. [MR2057077 (2005h:37001)].
- G. Gentile
Introduzione ai sistemi dinamici - Volume 1.
Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni
Springer, Milano, 2021.
- G. Gentile
Introduzione ai sistemi dinamici - Volume 2.
Meccanica lagrangiana e hamiltoniana
Springer, Milano, 2022.
4. Encyclopedia articles
- G. Gentile
Diagrammatic techniques in perturbation theory
Encyclopedia of Mathematical Physics,
Vol. 2, 54-60
Eds. J.-P. Françoise, G.L. Naber and T. Sh. Tsun,
Elsevier, Oxford, 2006.
- G. Gentile
Stability theory and KAM
Encyclopedia of Mathematical Physics,
Vol. 5, 26-32
Eds. J.-P. Françoise, G.L. Naber and T. Sh. Tsun,
Elsevier, Oxford, 2006.
- G. Gentile
Diagrammatic methods in classical perturbation theory
Encyclopedia of Complexity and System Science,
Vol 2, 1932-1948
Ed. R.A. Meyers, Springer, Berlin;
reprinted in
Mathematics of complexity and dynamical systems,
Vol. 1, Springer, New York, 2012. [MR3220666];
reprinted in
Encyclopedia of Complexity and System Science
119-139,
Springer, New York, 2022. [MR4570695].
5. Preprints
- L. Corsi, G. Gentile, M. Procesi
Almost-periodic solutions to the NLS equation with smooth convolution potentials
Preprint, Roma, 2023.
- J.H.B. Deane, G. Gentile
A diluted version of the problem of the existence of the Hofstadter sequence
Preprint, Guildford, 2023.